What is the solution to the following system of equations?

x - 2y = 6

y = 11 - 3x

Answers

Answer 1

Answer:

(4, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

x - 2y = 6

y = 11 - 3x

Step 2: Rewrite systems

Define:                              x - 2y = 6Add 2y on both sides:     x = 2y + 6

x = 2y + 6

y = 11 - 3x

Step 3: Solve for y

Substitute in x:                              y = 11 - 3(2y + 6)Distribute -3:                                 y = 11 - 6y - 18Combine like terms:                     y = -6y - 7Add 6y on both sides:                  7y = -7Divide 7 on both sides:                y = -1

Step 4: Solve for x

Define:                                        x - 2y = 6Substitute in y:                           x - 2(-1) = 6Multiply:                                      x + 2 = 6Subtract 2 on both sides:          x = 4
Answer 2

Answer:

x=4  y=-1

Step-by-step explanation:

x-2(11-3x)=6

x-22+6x=6

7x-22=6

7x=22+6

x=28/7

x=4

-----------------------------

y=11-3(4)

y=11-12

y=-1


Related Questions

What's a prime number....keep on forgetting.....how can ya remember what they're?.....tips nd can ya please answer the question too....thx❤​

Answers

Answer:

It has only 2 factors like 1 and itself..

Step-by-step explanation:

For example 3... We know that it is a prime number cause it can only times by itself and one 1×3=3..see..

And any more help you need??

Julie started with 20 pieces of gum and gave away x pices . Conrad started whit 35 pieces of gum and gave away twise as many pieces as Julie did. How many pices of gum did Julie gave away if thay had the same amount of pieces of gum left?
A) 18
B) 5
C) 15
D) 8

Answers

Answer:

c: 15

Step-by-step explanation:

20-15=5

35-30=5

Find the area of the circle.

Answers

Answer:

8.938

Step-by-step explanation:

Answer:

dont at me if its wrong but i think its the second one

Step-by-step explanation:

A car is moving at a steady rate. The distance it travels is proportional to the amount of time, in hours, it has been driving. It has traveled a total of 168 miles in 3 hours. (a) What is the ratio of the distance to the number of hours? Express as a fraction and as a unit rate with appropriate units.

Answers

Step-by-step explanation:

let distance travelled be d miles and time be t hours.

d = kt where k is a constant, k ≠ 0

168 = 3k

k = 56

d/t = k

hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.

Topic: direct & inverse proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

geometry unit 3 look at the picture for the question

Answers

Answer:

C= 66°

B= 74°

A= 35°

Step-by-step explanation:

sorry I don't have much time to explain- but I hope this answer helps

A recipe for 4 cups of trail mix calls for 2··3cup of raisins. Aniyah has 1 1··2cups of raisins. Does Aniyah have enough raisins to make 14 cups of the trail mix? If not, how many more cups of raisins does Aniyah need?

Answers

Answer:

Aniyah does not have enough for 14 cups, and needs 1 1/6 more.

Using the required arithmetic concept, we can conclude that Aniya needs 7/6 more cups.

Representing the problem thus:

4 cups of trail = 2/3 cups of raisins

14 cups of trails = x

Cross multiply

4x = (2/3) × 14

4x = 28/3

x = (28/3) ÷ 4

x = (28/3) × (1/4)

x = 7/3

Cups of raisins Aniya has = 1 1/2 = 3/2

Extra cups needed = 7/3 - 3/2 = 7/6 cups

Therefore, Aniya does not have enough, she needs 7/6 more cups.

Learn more : https://brainly.com/question/18998711

Reflect point B (3,-2) across the x-axis. What are the coordinates of the new image?

Answers

The answer will be (3,2)

PLS HELP ASAP

BRAINLIEST

Answers

The answer is 72°
18 x 2 = 36°
180 - 36 = 144°
144 / 2 = 72°

QUESTION #5 - Consumer Math

Answers

Answer:

$2.40

Step-by-step explanation:

15 x 2 = 30

30 x 8% = 2.40

a house painter uses 0.7 gallons of paint for a wall that is 140 square feet. How much paint in gallons does she need to be able to cover 1900 square feet

Answers

Answer:

9.8 gallons

Step-by-step explanation:

1900÷140=13.5714285714

round up to 14

0.7x14=9.8

Lntegers 0, -2, -3, -4, -5, -6, -7, -8, and -10 to fill in a 3 x 3 magic square so that every row, column, and diagonal has the same sum. The sum must be -15.

Answers

The given numbers are 0, -2, -3, -4, -5, -6, -7, -8, and -10.

Sum of all the integers is -45.

There are 9 places in 3x3 magic square, so divide -45 by 9, we have -45/9=-5.

Put the number -5 at the center place in the magic square.

Now, take the integer having the largest magnitude, i.e -10.

There are two positions to place -10, one is diagonal positions and the other is non-diagonal positions and to make sum = -15, the other number with -5 and -10 must be 0 as shown in the figure (i) and (ii).

Now, the row and column having 0 must have -8 and -7 to make sum -15, which disregards the possibility of -10 at the diagonal place ( figure (i)). So, proceeds with the places in figure (ii), the possible places of -8 and -7 have been shown in figure (iii).

Now, as the sum of diagonals = -15, so place -3 and -2 at diagonal positions and also place the remaining numbers -4 and -6 to make the sum of numbers in columns and rows -15 as shown in figure (iv).

Write an equation of a line in slope-intercept form that is parallel to the line y=3/5x+3 and passes through the point (5,1)

Answers

The equation is y = 3/5x -2

is 6.7 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

Rational numbers can be expressed, while irrational numbers (such as pi) go on forever.

Hope I helped!

Which exponential expression is equivalent to

Answers

Answer:

              [tex]\bold{\big {2}^\frac27}[/tex]

Step-by-step explanation:

[tex](\sqrt[7]2\,)^2=\left(\big2^\frac17\right)^2=\big2^{\frac17\cdot2}=\big2^{\frac27}[/tex]

Find the slope of the line that passes through (2, 4) and (9,5).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

1/7

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

PLEASE HELP PLEASEEEE

Answers

The domain and simplified terms are marked below

Help me out please !!!

Answers

Answer:

rate of change = 1.75 over 1 or just 1.75

Step-by-step explanation:

this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.

Kayla is on level 12 of a new game. Everyday she completes 6 new levels. Maddy is on level 28 of the same game. Everyday she completes 2 new levels.

Write your system to represent where Kayla and Maddy are in the video game

Answers

Answer:

Kayla and Maddy will be in the same level in 4 days.

Step-by-step explanation:

Kayla: y = 6x + 12

Maddy: y = 2x  + 28

6x + 12 = 2x + 28

Subtract 2x from both sides;

4x + 12 = 28

Subtract 12 from both sides;

4x = 16

Divide both sides by 4;

x = 4

Answer:

Step-by-step explanation:

y = 6x + 12

y = 2x + 28

or

l = 6d + 12

l = 2d + 28


Somebody help me plzzZZZZ

Answers

what’s up!
I can probably help
If not I’m so sorry
I’m also struggling

Answer:

Step-by-step explanation:

9.

a1=-35

d=a2-a1=-28-(-35)=7

a35=a1+(35-1)7

=-35+34×7

=-35+238

=203

Solve for x. 2(2-x) + 12x =44

Answers

Answer:

2(2-x)+12x=44

4-2x+12x=44

-4             -4

-2x +12x = 40

10x=40

/10   /10

x=4

Step-by-step explanation:

first you multiply the (2-x) by 2, you then subtract the 4 from both sides of the equation, you end up with -2x +12x = 40. Then subtract the 2x from the 12x and you end up with 10x. so now 10x=40. You then divide both sides by 10 and end up with x=10

sorry im not to good at explaining haha

Combine like terms: 3x + 2x + 3y - 7y​

Answers

Answer:

5x-4y

Step-by-step explanation:

1, Look for your like terms (x,y)

2.Do 2X+5X

3. 3y-7y

4. 5x-4y

Answer:

5x - 4y

Step-by-step explanation:

3x + 2x = 5x

3y- 7y = -4y

Greg earns a salary of $300 per week plus an additional
6% commission on his sales. If his weekly salary
increases by $50 and his commission increases to 7%
how much will Greg earn if his weekly sales are
$4,000?

Answers

Given :

Greg earns a salary of $300 per week plus an additional  6% commission on his sales.

To Find :

If his weekly salary  increases by $50 and his commission increases to 7%  how much will Greg earn if his weekly sales are  $4,000.

Solution :

New weekly salary, S = $( 300 + 50 ) = $350 .

New commission on $4000 sales :

[tex]C=\dfrac{4000\times 7}{100}= \$280[/tex] .

Therefore, total earning T = S + C = $( 350 + 280 ) = $630 .

Hence, this is the required solution.

can u tell which is true or false or not enough info

Answers

Answer:

I'm going to list the answers below in the explanation.

Step-by-step explanation:

JL = 36 False

ML = 36 True

MP = 48.5 Not enough info

Angle JLK = 102 True

Angle PNK = 102 False

MP || PK False

The only one I'm not 100% positive about is MP = 48.5 but I'm pretty sure!

Good luck and I hope this helps.

9514 1404 393

Answer:

  F, T, T, T, T, F

Step-by-step explanation:

PM and PN are "midlines" of the triangle JKL. As such, they are parallel to and half the length of the side of ΔJKL they don't intersect. The relationships of angles and transversals of parallel lines apply. LMPN is a parallelogram, so opposite sides are the same length.

a) JL is not 36, it it twice that. (F)

b) ML is the same length as PN, 36. (T)

c) MP is half of LK, so is 97/2 = 48.5. (T)

d) ∠JLK corresponds to ∠JMP, so is congruent. (T)

e) ∠PNK corresponds to ∠JLK, so is congruent. (T)

f) MP intersects PK at point P, so cannot be parallel. (F)

Find the slope of the line that passes through the given two points:
(1,4) and (3,7)
m =

PLEASE HELP I DONT UNDERSTAND THIS

Answers

Answer: 3/2

Step-by-step explanation:

To find slope you use the formula: m= y2-y1/x2-x1

So plugging stuff in it’s (7-4)/(3-1)

This comes out to be 3/2

Which means when graphing you go up 3 and right 2

i need help with these three questions can you help me?​

Answers

Answer:

#2- A

#3- D

#4-1

Step-by-step explanation:

whats the equation for the in slope intercept form?​

Answers

Answer: y = -4x + 5

Step-by-step explanation:

To write the equation in slope intercept form, we need to find the slope and the y intercept.

The y intercept is when the x coordinate is  zero, and looking at the line we can say the y-intercept is 5 because when x is 0 y is 5

y intercept: (0,5)

Now find another point on the line to find the slope  of the line .  

(-2,13)  

The slope is the difference between the y coordinates divided by the difference in the x coordinates.

(0,5)   and (-2,13)

y coordinates:  5 - 13 = -8

x coordinates:  0 - (-2) = 2

  Slope:  -8/2 = -4

Andre received and spent money in the following ways last month. Write
a positive or negative number to represent the change in money from his
perspective. "His uncle gave him $25 as a present.

Answers

Answer: +25

Step-by-step explanation:

The required change in money from his perspective would be +$25.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Andre received and spent money in the following ways last month.
Since his uncle gave him money, Andre's perspective of the change in money would be a positive number.

So, the change in money from his perspective would be +$25.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

If g(x)=2x+3 is a function,then find the unknown term in the following ordered pairs.
i.(a,7)
ii.(b,-1)
iii.(3,m)

plz explain.thanks for help! ​

Answers

Answer:

a=2, b = 1, m=9

Step-by-step explanation:

i. 7 = 2a+3 -----> 4=2a---------> a=2

ii. -1 = 2b-3 -------> 2 = 2b ------> b = 1

iii. 2(3)+3 = m -------> 6+3 = m -------> m=9

Hope this helps!!! :D

7p+5 when p=12 solve then put the answer like =the answer

Answers

Answer: 7(12) + 5 = 89

Step-by-step explanation:

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:30/4

Step-by-step explanation:180-11x+5, add all up=180, you get 30/4

unleess i messed up somewhere

11x-15=-5+7x
-7x -7x
___________
4x-15=-5
+15 +15
___________
4x=10
______
4x/4=10/4
________
x=2.5
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