Question

-5x - 2y = -40
y = 2x + 2
answer attempt 1 out of 5
(□,□)
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Explanation:

Step1: Substitute \( y = 2x + 2 \) into \( -5x - 2y = -40 \)

Substitute \( y \) in the first equation with \( 2x + 2 \):
\( -5x - 2(2x + 2) = -40 \)

Step2: Simplify and solve for \( x \)

Expand the left - hand side:
\( -5x - 4x - 4=-40 \)
Combine like terms:
\( -9x - 4=-40 \)
Add 4 to both sides:
\( -9x=-40 + 4=-36 \)
Divide both sides by - 9:
\( x=\frac{-36}{-9} = 4 \)

Step3: Substitute \( x = 4 \) into \( y = 2x+2 \) to find \( y \)

Substitute \( x = 4 \) into the equation \( y = 2x + 2 \):
\( y=2\times4 + 2=8 + 2 = 10 \)

Answer:

\((4,10)\)