solve this system of equations by using the elimination method.

2x-3y=25
5x+3y=10

Answers

Answer 1

Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.

2x-3y=251️⃣

5x+3y=102️⃣

Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:

1️⃣+2️⃣

2x-3y+5x+3y=25+10

7x=35

x=5

Then we can substitute the value of x back into either of the 2 equations.

2*5-3y=25

10-3y=25

3y=-15

y=-5

Then write the 2 answers together.

{x=5

{

{y=-5

Now we can check our answers.

2*5-3*-5=10- -15= 10+15=25 Correct

5*5+3*-5= 25+ -15= 10 Correct

From this we can see that x=5 y=  - 5 are the correct answers!


Related Questions

what’s a non example of a slope

Answers

Answer:

a leveled line or a straight line

Distance=7cm/1yrx1000yr=

Answers

9514 1404 393

Answer:

  70 m

Step-by-step explanation:

Perhaps you want to evaluate the expression:

  [tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]

__

There are 100 cm in 1 m. The units of yr cancel.

f(x)=6, what is x? HELP ANSWER FAST!!!!!!

Answers

Answer:

x = 6 / f

Step-by-step explanation:

What are the steps to finding the area of a parallelogram? What are the steps to finding the area of an isosceles trapezoid

Answers

Answer/Step-by-step explanation:

To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.

The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from the same “stuff” as the trapezoid, that's the area of the trapezoid, too.

Pls help
Given the equations, identify which way the parabola opens by matching an equation on the left with a term on the
right.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When the parabola has a y^2 term it opens horizontally. (Positive and negative values of y give the same value of x.)

When the parabola has an x^2 term it opens vertically. (Positive and negative values of x give the same value of y.)

The sign is negative when the opening is down or to the left.

__

The opening directions are shown in the attachment.

Answer:

look below

Step-by-step explanation:

i did it

A bakery sells chocolate cupcakes and mocha cupcakes. It sold 500 cupcakes in a day, and 16% of them were mocha. How many of the cupcakes sold that day were chocolate?

Answers

Answer:

Your answer

420 were chocolate

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth's 9th birthday, the total population was nearly 307,650, Write and solve a linear equation to find the population on Beth's 16th birthday.


I only need the equation pls help

Edit: the equation needs to be in slope intercept form

Answers

Answer:

editor edit

37,650

Step-by-step explanation:

37650

Compare the number of friends at the beginning of a month and at the end of that month if it decreased by 60 and increased by 80

Answers

Answer:

plus 20 or positive

Step-by-step explanation:

-60+80= 20

positive

funny corona-virus meme

Answers

Answer:

lol thats funny

Step-by-step explanation:

hahahahahahahahahahahahahahahahahahahahahahahaha!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! That is funny;)

The area of circle can be expressed by the
formula A = ar?where r is a radius of circle.
express radius in terms of area of circle.

Answers

9514 1404 393

Answer:

  r = √(A/π)

Step-by-step explanation:

Solve for r. Do this by dividing by the coefficient of the r² term, then taking the square root.

  A = πr²

  A/π = r²

  r = √(A/π)

1. What must be multiplied to (x + 1) to obtain (x2 + 4x + 3)?

2. A cube has a side measure of (5x), find the volume of the cube.

3. Find the circumference of a plate if its radius measures (x + 7).

4. A notebook cost (2x + 5) pesos while a pencil cost (x - 7) pesos. What is the total cost
of 5 notebooks and 2 pencils?

5. A box measures (a + 2) cm by (a - 2) cm by 4 cm. Find the volume of the box.

6. The cost of 1 kilo of chicken is (x2 + 8x - 3). How much a 4 kilos of chicken cost?​

Answers

Answer:

[tex]1. x + 3 \\ 2.125 {x}^{3} \\ 3.2\pi(x + 7) \\ 4.12x + 11 \\ 5.4{a}^{2} - 16 \\ 6.4 {x}^{2} + 32x - 12[/tex]

if i get the right answer i will give brainlist

Which point on the scatter plot is an outlier?

Point A
Point B
Point C
Point D

Answers

Answer:

Point D

Step-by-step explanation:

PLS give me brainliest

Answer:

D, I would love to be given brainliest look i have an explanation

Step-by-step explanation:

An outlier is a number that seems for the data. The outlier is usually to far fro the data.  

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

Answers

The question is incomplete. Here is the complete question.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)

B(3, 3) and D(3, −2)

B(2, 3) and D(2, −2)

B(1, 2) and D(1, −3)

Answer: B(1, 3) and D(1, -2)

Step-by-step explanation: Area of a rectangle is the multiplication of its width and its length.

The rectangle to be has length, or distance from point A to point C, of 5 units.

For the area to be 20, width has to be 4.

Point B will be 4 units to the right of point A, which means:

[tex]x_{B}=x_{A}+4[/tex]

Point A has coordinates ( -3, 3), then:

[tex]x_{B}=-3+4[/tex]

[tex]x_{B}=1[/tex]

Because the points is "moved" to the right, instead of up or down, y-coordinate stays the same:

[tex]y_{B}=y_{A}[/tex]

[tex]y_{B}=3[/tex]

Point D will be 4 units to the right of point C:

[tex]x_{D}=x_{C}+4[/tex]

Coordinates of point C are ( -3, -2):

[tex]x_{D}=-3+4[/tex]

[tex]x_{D}=1[/tex]

Because a rectangle has a pair of sides parallel to each other, D's y-coordinate will also be the same:

[tex]y_{D}=y_{C}[/tex]

[tex]y_{D}=-2[/tex]

Coordinates of points B and D that makes rectangle ABCD have area of 20 square units are (1, 3) and (1, -2), respectively.

Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)​

Answers

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Know more about Polynomials here:

brainly.com/question/2833285

#SPJ7

The sum of two integers is 9. Their difference is 5. What are the two integers?
(A) 7 and 12
(B) -7 and 16
(C) -12 and -7
(D) 2 and 7​

Answers

Answer:

D) 2 and 7

Step-by-step explanation:

x+y=9

x-y=5

----------

2x=14

x=14/2=7

7+y=9

y=9-7=2

If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?

Answers

Answer:

Step-by-step explanation:

(x+5)² = 36

x+ 5 = ±√36 = ±6

x = -5 ±6 = 1, -11

porque el factor común está relacionado con la propiedad distributiva​

Answers

Answer:

El factor común se relaciona con la propiedad distributiva, ya que el factor común corresponde a la agrupación de expresiones comunes en una operación, de manera que éstas lleguen a ser simplificadas

Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?




pa help po please kailangan na po kase e ​

Answers

Answer:

hi kpop fan

Step-by-step explanation:

she is blackpink jisoo in your profile pick right

Answer:

they will receive 4 banana

Find the length of y

Answers

Answer:

25 cm

Step-by-step explanation:

Is the relation below a function?
-3
-1
-1
3
у
0
1
2
3

Answers

Answer:

I believe it would be "y"

Step-by-step explanation:

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Answer:

I would say no!

Step-by-step explanation:

cause we cannot determine the rule of mapping so y is no an image of x

12. What type of triangle is shown? ​

Answers

Answer:

Scalene triangle, right triangle.

Step-by-step explanation:

To find out what type of triangle this is, we have to find x, so we set up an equation:

The sum of interior angles in a triangle add up to 180°

(2x + 15°) + (4x - 10°) + (x) = 180°

Open paranthesis:

2x + 15° + 4x - 10° + x = 180°

Combine like terms:

7x +  5° = 180°

Same to both sides

7x = 175°

x = 25°

We plug in x for each of the values:

2(25°) + 15° = 65°

4(25°) - 10° = 90°

25° = 25°

Because none of the angles are equal, that makes this triangle a scalene triangle, and since one of the angles is a 90° angle, that makes this triangle a right triangle

I hope this helped, let me know if you have any questions.

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Answers

Answer:

(-2.5, 7.5)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Using the formula for calculating the mid point segment expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given

x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2

Substitute

X = 3(-9)+2(11)/2

X = -27+22/2

X = -5/2

X = -2.5

Similarly

Y = 3(-1)+2(9)/2

Y = -3+18/2

Y = 15/2

Y = 7.5

Hence the required coordinate point is (-2.5, 7.5)

8.

Find the slope of the line.

A. 0
B. -2
C. Undefined
D. 2

Answers

Answer:

C. Undefined

Step-by-step explanation:

Input Data :

Point A  

(

x

A

,

y

A

)

= (2, 5)

Point B  

(

x

B

,

y

B

)

= (2, -2)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

2

5

2

2

=

7

0

m = -INF

Answer:

The answer is C (Undefined)

Step-by-step explanation:

A vertical slope is undefined because it rises and never runs up/down is rise and left/right is run. Rise/Run. 4/0. Four divided by zero is undefined while 0 divided by 4 is zero.

Jennifer is four less than three times Toby's age. If Jennifer is 23, then how old is Toby? equation: solution:​

Answers

Answer:

T = Toby

T=(23+4)/3

Step-by-step explanation:

If Jennifer’s age is 4 less than 3 times Toby’s age then Jennifer’s age by three,

T=(23+4)/3

and 3 times that, so we divide

T=(23+4)/3

Then Toby is 9 years of age, and shouldn’t be driving.

Toby is 9 years old. Here’s how:

Convert into log form
a^b = c

Answers

Answer:

(c) ( c ) . logb(a)=c log b

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - y = 4

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

what 5/8x + 1/2 (1/4x + 10)? ​

Answers

Use photo math it’s free in any telephone

Answer:

3/4x + 5

Step-by-step explanation:

5/8x + 1/2 ( 1/4x + 10) = 5/8x + 1/8x + 5 = 6/8x + 5 = 3/4x + 5

Find the distance between
(5 , 1 ) and ( 3 ,6)

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{(6-1)^{2}+(3-5)^{2} }[/tex]=[tex]\sqrt{29}[/tex]

                               =5.39(correct to nearest hundredth)

Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23

Answers

Answer:

84 x is your answer right answer right

Graph and then find the perimeter of this shape. H(3, 0), I(3, 7), J(6, 7), K(6, 0)

Answers

Answer:

20 units

Step-by-step explanation:

Graphed the points to find out it is a rectangle with sides 3 and 7.

Vertical segments with distance 7 - 0 = 7Horizontal segments with the distance 6 - 3 = 3

The perimeter is:

P = 2(3 + 7) = 20 units

Answer:

50 points

Step-by-step explanation:

I did it and got an A

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