Question

x + 2y = 10; y=1/2x-5; y=-1/2x-5; y=-1/2x+5; y=1/2x+5

Explanation:

Step1: Isolate 2y

Subtract \( x \) from both sides of \( x + 2y = 10 \):
\( 2y = -x + 10 \)

Step2: Solve for y

Divide every term by 2:
\( y = \frac{-x + 10}{2} = -\frac{1}{2}x + 5 \)

Answer:

\( y = -\frac{1}{2}x + 5 \) (corresponding to the orange option: \( y = -1/2x + 5 \))