Answer:
x = -2, and y = 4
Step-by-step explanation:
In order to solve for x, we need to plug in y.
<u>2x + 3y = 8</u>
2x + 3(2x+8) = 8 --> distribute the 3 to (2x+8)
2x + 6x + 24 = 8 --> add 2x and 6x
8x + 24 = 8 --> subtract 24
8x = -16, and you'd get x = -2
Now solve for y with x:
<u>y = 2x+ 8</u>
y = 2(-2) + 8 --> simplify by multiplying 2 and -2
y = -4 + 8 --> basically 8 - 4
y = 4
Check your answer:
Plug in the numbers:
<u>2x + 3y = 8</u>
2(-2) + 3(4) = 8 --> -4 + 12 = 8 --> 8 = 8
<u>y = 2x + 8</u>
(4) = 2(-2) + 8 --> 4 = -4 + 8 --> 4 = 4
Hope this helps! :)
