3x – 3y = -9
4x + 4y= 12


show me the steps for substitution?

Answers

Answer 1

Answer:

y=3 and x=0

Step-by-step explanation:

3x−3y=−9. i'm going to solve for x.

3x−3y+3y=−9+3y

3x=3y−9

3x/3=(3y-9)/3  to isolate x we have to divide everything by 3

x=y−3

so now that we have x we can substitute it in 4x+4y=12

4(y-3)+4y=12

4y-12+4y=12

8y-12=12

8y-12+12=12+12

8y=24

8y/8=24/8

y=3

we have y which equals 3, so now we can substitute it into any equation so solve for x again.

3x – 3y = -9

3x-3(3)=-9

3x-9=-9

3x-9+9=-9+9

3x=0

3x/3=0/3

x=0

so, final answers are y=3 and x=0

checking our work:

3(0)-3(3)=-9

0-9=-9

-9=-9 true

4(0)+4(3)=12

0+12=12

12=12 true


Related Questions

Given triangle ABC, if angle A = 40, a = 65, and angle B = 25. what is the
length of b?



Answers

Answer:

x=50

Step-by-step explanation:

40+65+25+x=180

Combine like terms

130+x=180

x=50

(triangles = 180)

-14 = 4x - 2
what is the x ?

Answers

Answer:

X = -3

Step-by-step explanation:

Find the area of the trapezoid 12.5cm 6cm 17.5cm

Answers

Answer:

The answer for this is a. 90

30+5z+5z=180
what is the value of z

Answers

Answer:

15

.......................

the value of z is 15

Find the upper bound

Answers

The upper bound is 56cm I think

A free diver can dive at a rate of -0.75 meters per second about how long will it take to reach a depth of -145 meters

Answers

Answer:

193 seconds

Step-by-step explanation:

For this problem you'll have to divide so do -145÷-0.75 and your answer will be 193 seconds

Peter makes a base monthly salary of $2,500. As a vendor, he must sell $15,000 worth of items per month. He also makes an 18% commission on all sales beyond the monthly quota. If Peter sold $24,600 worth of items this month, what is his total salary for the month including base salary and commission to the nearest dollar?

Answers

Answer:

Monthly salary= $4,228

Step-by-step explanation:

Giving the following information:

Fixed salary= $2,500

Sales commission= 10%

Sales= $24,600

To calculate the monthly salary, we need to use the following formula:

Monthly salary= fixed income + commission

Commission= (24,600 - 15,000)*0.18

Commission= $1,728

Monthly salary= 2,500 + 1,728

Monthly salary= $4,228

A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of gras
area where the tree once was?

Answers

Answer:

about 38.48 square feet

Five less than twice the value of a number is equal to three times the quantity of
four more than one-half the number. What is the
number?
a. Let x be the number. Write and solve an equation to find x. Show your work.
b. Does the solution of your equation solve the original problem? Explain.

Answers

Answer:

a) x = 34

b) yes, it checks out

Step-by-step explanation:

2x - 5 = 3(4 + 1/2x)

multiply both sides by 2 to eliminate fraction

2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x

x - 10 = 24

x = 34

check

2(34) - 5 = 3(4 + 34/2)

68 - 5 = 3(4 + 17)

63 = 3(21)

63 = 63

if XY=10 and YZ=8.5 then XZ must be greater that ______, and less than _____.​

Answers

Answer:

Your answer is

1.5<XZ<18.5

Hope that this is helpful. Tap the crown button, Like & Follow me

I need the answer to this

Answers

Answer:

8 Hours

Step-by-step explanation:

Since 4 painters painting one house takes 14 hours, then one person would take 56 hours to paint the whole house. Hence, 4 x 14 = 56. If 7 people painted the house, then 8 hours would be needed since 56 / 7 = 8.

4 people x 14 hours = House

56 hours = House

56 hours is required to paint a house.

7 people x H hours=  House

7 people x H hours = 56

(7 people x H hours)/ 7 = 56 / 7

You divide 7 on both sides to isolate H on one side.

H hours = 8

So H = 8 which is the amount of hours needed.

I Hope This Helps :)

The amount of lawns mowed is proportional to the number of hours that Lana works. The equation below represents the proportional relationship between lawns mowed ​(m)​ and the number of hours worked ​(h)​. M=4h How many lawns can Lana mow each hour?

Answers

Answer:

0.25 lawns

Step-by-step explanation:

The computation of the number of lawns each hour is shown below;

M represent the mowed

ANd, number of hours represent h

Also

M = 4h

That means one mowed = 4 hours

So for one hour = 1 ÷ 4 = 0.25 lawns

Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the graph below. On a coordinate plane, triangle A B C has points (negative 4, negative 2), (negative 2, 1), (negative 2, negative 1). Triangle A prime B prime C prime has points (1.2, 4.2), (2, 1), (0, 2.9). Which rotation could have taken place?

Answers

Answer: it would be C. a 225° rotation

Step-by-step explanation: I got it correct

Answer:

C

Step-by-step explanation:

5x - 2y = 18
-5x + 3y = -22

Answers

add the two equations
since the 5x and -5x cancel out
you get y=-4

plug y=-4 into the first equation
solve for x
x=2

THE ANSWER IS: (2,-4)

6th grade math help me pleaseee

Answers

Answer:

The 2nd graph

Step-by-step explanation:

The y-intercept of the second graph has a y intercept of 6 and a slope of 3.

Answer:

the second one

Step-by-step explanation:

The one closest to the buttons that say clear and button. Under it.

Write the equation of the line with a slope of -5/4 and a y-intercept of 2.

a) y=1/4x+2
b) y=2x-5/4
c) y=-1/4x+2
d) y=-5/4x+2

Answers

Answer:

D, y=-5/4x+2

Step-by-step explanation:

the slope always comes before "x", and the y-intercept comes last when written in slope intercept. So y=-5/4x+2 is correct.

Which type of transformation is described by (x, y) (x + 2, Y-3)?

Answers

Answer:

I’m good at math but not that good

Step-by-step explanation:

Mr. Robison rides 136 miles per hour on his bike ride. He wants to ride more than 360 miles at the same rate during his next bike ride. Which inequality represents all possible values for b, the number of hours Mr. Robison must bike to ride more than 360 miles rounded to the nearest hundredths?

Answers

Answer: See explanation

Step-by-step explanation:

From the equation, we are informed that Mr. Robison rides 136 miles per hour on his bike ride and that he wants to ride more than 360 miles at the same rate during his next bike ride.

The inequality that represents all possible values for b, the number of hours Mr. Robison must bike will be:

136b > 360

b > 360/136

b > 2.65

Therefore, Me Robinson must bike for more than 2.65 hours

grade 6 please answer this

Answers

Answer:

Step-by-step explanation:

follow PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction)


What is the value of -2(x + 5)?​

Answers

Answer:

-2x-10

Step-by-step explanation:

hope it hhhhheeeeeellllpppp you

Ewan has a mango farm that is 75 feet X
50 feet, and he also purchases a 20 feet X
10 feet plot of land. Find the total area of
the farm.

Answers

Answer:

3950 feet squared

Step-by-step explanation:

So first you have to multiply 75 by 50, so that is 3750.

Next you have to multiply 20 by 10 and you get 200.

Finally you had both 3750 and 200 in order to get 3950 and that is why the total area of the farm is 3950 feet squared.

t = 19 = 29.....................=

Answers

Based on the number of periods then the answer is 249

Write a numerical expression for the verbal expression. fourteen decreased by three times four

Answers

Answer: 14 - 3(4)

Step-by-step explanation:

Decreased just means subtract

Solve: (x – 3)(x – 5) = 35

(hint: first you must distribute; then set your equation equal to zero, then factor, then solve.


Posting again because no one answered correctly

Please help

Answers

Answer:

x=10, x=-2

Step-by-step explanation:

x^2-5x-3x+15=35

x^2-8x-20=0

Multiply to -20, add to -8: -10, 2

(x-10)(x+2)=0

x=10, x=-2

Answer:

x = −2 or x = 10

Step-by-step explanation:

(x - 3)(x - 5) = 35

x^2 − 8x + 15 = 35

x^2 − 8x + 15 − 35 = 35 − 35

x^2 − 8x − 20 = 0

(x+2)(x−10) = 0

x + 2 = 0 or x − 10 = 0

x = −2 or x = 10

I hope this helps! May I please have brainliest? :)

what is 30+11x-12-6x

Answers

11x-6x=5x
30-12=18
5x+18
Answer: 18+5x

Collect like terms:


11x-6x=5x

30-12=18

It is a polynomial

are the following lines parallel, perpendicular, or neither? y= -4/3x - 5 and y= 3/4x - 5

Answers

perpendicular is the answer because for it to be perpendicular it has to be the opposite 3/4’s opposite is -4/3 which is why the answer is perpendicular

Can someone please help me? 3t + 7 = -8

Answers

Answer:

Step-by-step explanation:

Look at 3%2At%2B7=%28+-8+%29.

Moved these terms to the left  %28 +8+ %29

It becomes 3%2At%2B7%2B _green%28+8+%29=0.

Look at 3%2At%2B_red%28+7+%29%2_red%28+8+%29=0.

Added fractions or integers together

It becomes 3%2At% 2B % 28+15+%29=0.

Look at highlight_red%28+3%2At%2B15+%29=0.

Solved linear equation %28+3%2At%2B15=0+%29 equivalent to 3*t+15 =0

It becomes highlight_green%28+0+%29=0.

Result: 0=0

This is an equation! Solutions: t=-5.

Answer: t= -1/3

Step-by-step explanation:

3t+7=-8

subtract 7 from 7 and 8 (this cancels out the 7)

left with 3t = -1

divide 3 into 3t and -1

the 3 in 3t is canceled out, leaving us with t, therefore t= -1/3

select the two binomials that are factors of this trinomial.
x^2+4x-32
a. x-8
b. x+8
c. x+4
d. x-4

Answers

Answer:

b and d

Step-by-step explanation:

Sum = 4

Product = -32

Factors = 8 , (-4)

x² + 4x - 32 = x² + 8x - 4x - 4*8

                   = x(x + 8) - 4(x + 8)

                  = (x + 8)(x - 4)

If cos θ > 0, which quadrant(s) could the terminal side of θ lie?

Answers

Answer:

I and IV

Step-by-step explanation:

cosine is positive/greater than 0 in quadrants I and IV. Its just a rule of the unit circle.

Can remember by All Star Trig Class

meaning all the trig funtions are positive in quadrant I

sin is positive in II

tan is positive in III

and cos is positive in IV

determine the slope and y-intercept from following the equation: y= 3/2x + 3

Answers

Answer:

Slope is 3/2 and y-intercept is +3

Step-by-step explanation:

slope = m

y intercept = b

Slope is 3/2 and y-intercept is +3

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