Question

solve the system of equations graphed on the coordinate axes below.
$y = 2x + 2$
$y = -x + 5$
answer attempt 1 out of 2

Explanation:

Step1: Set equations equal

Since $y = 2x + 2$ and $y = -x + 5$, set $2x + 2 = -x + 5$.

Step2: Solve for x

Add $x$ to both sides: $3x + 2 = 5$. Subtract 2: $3x = 3$. Divide by 3: $x = 1$.

Step3: Find y value

Substitute $x=1$ into $y=2x+2$: $y = 2(1) + 2 = 4$.

Answer:

$(1, 4)$