Question

question
solve the system of equations graphed on the coordinate axes below.
$y = 2x + 8$
$y = -x + 8$
answer attempt 1 out of 2
solution:

Explanation:

Step1: Set equations equal

Since $y = 2x + 8$ and $y = -x + 8$, set $2x + 8 = -x + 8$.

Step2: Solve for $x$

Subtract 8 from both sides: $2x = -x$.
Add $x$ to both sides: $3x = 0$.
Divide by 3: $x = 0$.

Step3: Find $y$ value

Substitute $x=0$ into $y = 2x + 8$: $y = 2(0) + 8 = 8$.

Answer:

$(0, 8)$