Question

#18 solve the system by graphing. y = x - 7 y = -0.5x + 5 the solution is (□, □).

Explanation:

Step1: Set equations equal

Since \( y = x - 7 \) and \( y = -0.5x + 5 \), set \( x - 7=-0.5x + 5 \).

Step2: Solve for x

Add \( 0.5x \) to both sides: \( x + 0.5x-7=5 \), so \( 1.5x - 7 = 5 \).
Add 7 to both sides: \( 1.5x=12 \).
Divide by 1.5: \( x=\frac{12}{1.5}=8 \).

Step3: Find y

Substitute \( x = 8 \) into \( y = x - 7 \): \( y=8 - 7 = 1 \).

Answer:

\((8, 1)\)