−3x−9y=18
4x+3y=12

Answers

Answer 1

Answer:

x = 6 , y = -4

Step-by-step explanation:

Solve the following system:

{-9 y - 3 x = 18 | (equation 1)

3 y + 4 x = 12 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 3 y = 12 | (equation 1)

-(3 x) - 9 y = 18 | (equation 2)

Add 3/4 × (equation 1) to equation 2:

{4 x + 3 y = 12 | (equation 1)

0 x - (27 y)/4 = 27 | (equation 2)

Multiply equation 2 by 4/27:

{4 x + 3 y = 12 | (equation 1)

0 x - y = 4 | (equation 2)

Multiply equation 2 by -1:

{4 x + 3 y = 12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{4 x+0 y = 24 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 6 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 6 , y = -4


Related Questions

The table below represents the number of hours a student worked and the amount of money the student earned. What is the initial amount this student is paid? (Base pay, when number of hours, h = 0) I’LL PAY YOU 30 DOLLARS IN CASHAPP RIGHT NOW WHEN YOU DO IT!

Answers

i think it's (h= $6.25) because if you divide all y's by x you will get 6.25 every time. so the answer is most likely $6.25

The initial amount this student is paid is 0 and this can be determined by using the two-point slope form of the line.

Given :

The given table represents the number of hours a student worked and the amount of money the student earned.

The following steps can be used in order to determine the initial amount this student is paid:

Step 1 - The two-point form of the line can be used in order to determine the initial amount this student is paid.

Step 2 - So, the linear equation that represents the given situation is:

[tex]\rm \dfrac{d-50}{h-8}=\dfrac{93.75-50}{15-8}[/tex]

Step 3 - Simplify the above expression.

[tex]\rm \dfrac{d-50}{h-8}=6.25[/tex]

d - 50 = 6.25h - 50

d = 6.25h

Step 4 - Now, substitute the value of (h = 0) in the above expression.

d = 0

Therefore, the correct option is D) There is no base pay.

For more information, refer to the link given below:

https://brainly.com/question/11897796

ASAP PLEASE HELP IM TIMED WILL MARK BRAINLIEST

Letr stand for "O > 2" and s for "2<5'. What is the truth value for r ^ s? Why?

A)

True; the truth value of s is true.

B)

False; the truth value of r is false.

C)

False; the truth value of s is false.

D)

The truth value cannot be determined because the statements are a

contradiction.

Answers

Answer: im sorry that nobody got to you, im having the same problem right now

Step-by-step explanation:

Answer: FALSE

Step-by-step explanation:

x ∧ y is true only when x and y are both true

So, since r and s are both false, r ∧ s is also false.

Therefore, s ∧ (r ∧ s) is false since r ∧ s is false.  

long division method hcf of 430,516 and 817​

Answers

Answer:

you need to add up 430,516 x 817 and see what it gives you for my exclusive seen 1247.516

Step-by-step explanation:

Someone help me please ASAP

Answers

Answer:

3. 45, 4. 24

Step-by-step explanation:

use formula: hypotenuse²= side² + other side ²

3.

x²= 27²+36² calculate the squares then add

x²=2025 square root both sides

x= √2025= 45

4.

25²= x²+7² isolate the vaiable by subtracting 7² from both sides

25²-7² = x² square then subtract

576 =x² square root both sides

24=x

Classify the following triangle. Check all that apply.

O A. Obtuse
B. Equilateral
c. Right
D. Acute
O E. Scalene
OF. Isosceles

Answers

Answer:

This is an Equilateral Acute triangle.

The answer’s are B and D

Does anyone know this

Answers

Answer:

2.5

Step-by-step explanation:

2.5

Answer:

2.5s

Step-by-step explanation:

Time = [tex]\frac{Distance}{Speed} =\frac{5 meters}{2m/s} =2.5s[/tex]

34. What is the smallest subset containing 100 ?
A. Irrational Numbers
B. Whole Numbers
C. Natural Numbers
D. Rational Numbers

Answers

D. Rational Numbers

Shoe Size and Height the shoe sizes and heights (in in.) for 12 men.
Shoe
7.5 8
8 18 19 19 9 10 10 10 11 12
Size, X
Height,
61 63.5 62.5 65 65 67 65.5 64.5 66.5 67 68 65.5
У
Based on this Linear Regression Line, how tall would a man be, who wore size 13
shoes?
64.29 in
(1 65.29
K 66.79
68.79

Answers

Answer:

68.79

Step-by-step explanation:

I used a graphing calculator to ender the points then used the linear regression line option to finf the line of best fit. Im not sur ehow to do it with an equation.

Draw a line through the point (−2,−2) with a slope of 1/4. Draw a line through the point (2, 0) with a slope of 1/4

Answers

Answer:

Step-by-step explanation:

The standard equation of a line in point-slope form is expressed as;

y-y0 = m(x-x0) where:

m is the slope

b is the y-intercept.

Given the following

Slope = 1/4

(x0, y0) = (-2, -2)

The equation becomes;

y-(-2) = 1/2(x-(-2))

y+2 = 1/2(x+2)

2(y+2) = x+2

2y+4 = x+ 2

2y-x = 2-4

2y-x = -2

For the line through the point (2, 0) with a slope of 1/4

y - 0 = 1/4(x-2)

y = 1/4(x-2)

4y = x- 2

4y - x = -2

Find the plotted lines below:

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Help!!! 100 POINTS

Examine the number line and select all the statements that are true.



The sum of a and 0 is positive.
The product of a and c is negative.
The quotient of b and a is positive.
The sum of a and b is positive.
The quotient of c and 0 is undefined.
b < a

Answers

Answer:

the product of a and c is negitive

Step-by-step explanation:

Answer:

The second one is true

The third one is true

The fourth one is false

The fifth one is true

The sixth one is false

Which of the following graphs could be the graph of the function f(x)=.03x2(x2-25)

Answers

Answer:were are the graphs

Step-by-step explanation:

Which sets of values belongs to the domain and range of a relation

Answers

full answer:

As we know that

The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.

The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.

As

The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.  

The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.

So, in the set of ordered pairs of a relation

A student's work to solve an equation is shown.

Answers

9514 1404 393

Answer:

incorrectlyone solution

Step-by-step explanation:

The third line of the solution is incorrect. It should be ...

  5x +2 = -5x +2

Then the one solution can be found:

  10x = 0 . . . . . . . . . add 5x-2 to both sides

  x = 0

Is 0.23 a rational number? Choose the best explanation.

Answers

Answer:

yes because it can be written as 23/100

Step-by-step explanation:

I did this before and I have gotten it correct.

triangle ABC is being dilated with center of dialation at the origin. The image of c, point C', has coordinates of (7.2, 3.6). What is the scale factor of the dilation and what are the coordinates of point A'?​

Answers

Answer:

4

Step-by-step explanation:

Coordinates of the image point A' will be (-3.6, 3.6).

Rules for the transformation:If a point (h, k) is dilated by scale factor 'a' about the origin, coordinates of the image point point C' will be → (ah, ak)If a point C(6, 3) is dilated by a scale factor 'a', coordinates of the image point C' will be → (6a, 3a)From the graph attached, image point of C(6, 3) is C'(7.2, 3.6)

  By the rule of transformation → (6a, 3a) = (7.2, 3.6)

       6a = 7.2 ⇒ a = 1.2

   Coordinates of point A → (-3, 3)

   If the point A is dilated by a scale factor 1.2 about the origin,

   Coordinates of the image point A' will be → A'(-3×1.2, 3×1.2)

                                                                          → A'(-3.6, 3.6)

Find out more information about the transformation here,

https://brainly.com/question/488929?referrer=searchResults

PLEASE HELP! I REALLY NEED HELP WITH THIS!! I WILL MARK BRAINLIEST!!!
All of the following expressions are equivalent to 12w + 6, except:

-1(12w - 6)
(3 + 6w)2
6(1 + 2w)
-1(-12w - 6)

Answers

Answer:

2nd one

Step-by-step explanation:

Expand: -3(x – y + 5)​

Answers

Answer:

-3x+3y-15

Step-by-step explanation:

;)

Answer:

-3x+3y-15

Step-by-step explanation:

-3*x= -3x

-3*-y= 3y

-3*5= -15

Robinson Crusoe is an adventure novel about one man's seafaring adventures that change who he is and how perceives the world. Describe a significant event in your life that made you stop and think about your own destiny or approach to life.

Answers

My grandfather almost died of cancer, that made me stop, and think. I found out that when you don’t look so far ahead into the future then the present is so more enjoyable. I think that is how I am supposed to answer that question...

What is the solution to the equation 3(2x+5) = 3x+4x?
O x 0
O X-4
O X-5
O X-15
Sa
Mark this and return

Answers

Answer:

15

Explanation:

Answer: 15

Step-by-step explanation:

On edg2020

Dierdre’s work to solve a math problem is shown below.

Problem: How many 1 and one-half-foot pieces can be cut from a 12-foot length of ribbon?
Step 1:
1 and one-half divided by 12 = n
Step 2:
Three-halves divided by 12 = n
Step 3:
Three-halves times StartFraction 1 Over 12 EndFraction = n
Step 4:
StartFraction 3 Over 24 EndFraction = n
Answer:
One-eighth = n

What was Dierdre’s first error?
She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
She used an improper fraction in step 2 that is not equivalent to 1 and one-half.
She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal.
She reduced the fraction in step 4 incorrectly.

Answers

Step-by-step explanation:

step 1

Answer:

Step 1)-She switched the divisor and the dividend in step 1 when creating an equation to model the problem.

Step-by-step explanation:

I got it right on my unit test :>

Convert − 6 7to a decimal. Go out 3 decimal places and round as appropriate.

Answers

Answer:

-0.85714285714

Rounded answer:

-0.86

Step-by-step explanation:

Azel has 10 apples and Emily has 5 apples
Where does emily live?

A. Port geese 2546

B. In Atlanta

C. Nowhere

D. All the above

Answers

Answer: I think all of the above

Step-by-step explanation:maybe there traveling so…

Two lines, A and B, are graphed (Look at the picture):

Determine the solution and the reasoning that justifies the solution to the systems of equations.

a.(−4, 6), because both the equations are true for this point

b.(2, 8), because the graph of the two equations intersects at this point

c.(2, 8), because neither of the two equations is true for this coordinate point

d.(−4, 6), because the graph of the two equations intersects the axis at these points

Answers

Answer:

B. (2,8), because both equations intersect at this point

Answer:

B. (2,8), because both equations intersect at this point

Step-by-step explanation:

Why is it answer B? Because of Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.

Peyton's car used 6 gallons to travel 192 miles. How many gallons of gas would she need to travel 480 miles?

Answers

Answer:16

Step-by-step explanation:

Answer:15

Step-by-step explanation:

900 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answers

Answer:

180 students brought their lunch to school on Thursday

Step-by-step explanation:

We are told that out of 900, 5% of the students brought their lunch to school everyday

So the number that brought their lunch on Thursday will be;

5% of 900

= 5/100 * 900 = 180

3.3g+4=1.3g+8 helppp pls

Answers

Answer: 2

Step-by-step explanation:

3.3 x 2 = 6.6

6.6 + 4 = 10.6

1.3 x 2 = 2.6

2.6 + 8 = 10.6

The speed of sound in hydrogen is about 3.9 times its speed in air. If its speed in
hydrogen is almost 1287 m/s, what is its speed in air?

Answers

Answer:

330

Step-by-step explanation:

Answer:

330 m/s

Step-by-step explanation:

Divide 1287 m/s by 3.9 to get the speed of sound in air as given that the speed of sound in hydrogen is 3.9 times it's speed in hydrogen.

Hope this makes sense.

Good luck!!

Which statement must be true about line TU?

Line TU is parallel to line RS.
Line TU is perpendicular to line RS.
Line TU has no slope.
Line TU has a slope of –5.

Answers

Answer:

line TU is parallel to line RS

Step-by-step explanation:

edg2020

Answer: line TU is parallel to line RS

Step-by-step explanation:

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.

A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50.

Answers

Answer:

(4 – g) 1.5

Step-by-step explanation:

Trust

Answer:

(4 – g) 1.5

Step-by-step explanation:

Joey completed 3,556 push ups over a 4-week period (there are 7 days in a week). Joey did the same number of push-ups every day. How many push-ups did Joey do each day

Answers

Answer:

127 per day

Step-by-step explanation:

Total pushups in 4 weeks = 3,556

4-week period( 7 days a week) = 4 × 7

= 28 days

How many push-ups did Joey do each day?

Push ups per day = Total push ups / Total number of days

= 3,556 / 28

= 127

Push ups per day = 127

Joey did 127 push-ups each day for a 4-week period( 7 days a week)

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