Question

3x + 6y = -18
2y = 3x - 22
The solution to the system is ( ___, ___ ).

Answer 1

(4, -5)

Explanation:

the next question (on slide 2) is:

C. (the third option).

then B. (second choice).

then ( 0.5, 3)

3rd slide:

C. 6

A. add

(-2, -4)

4th slide

B C

B Exactly one

(0, -3)

Edge 2021

Answer 2

(4, -5)

Explanation:

3x + 6y = -18

2y = 3x - 22

In the second equation, move 3x to the other side:

3x + 6y = -18

-3x + 2y = -22

Since they have opposite signs, the x terms can cancel out. Add together the equations in order to cancel out x:

3x + 6y = -18

-3x + 2y = -22

8y = -40

Solve for y:

y = -5

Then, plug in -5 in as y into one of the equations, then solve for x:

3x + 6y = -18

3x + 6(-5) = -18

3x - 30 = -18

3x = 12

x = 4

So, the solution to the system is (4, -5)