Question

y = 5x + 2
3x = -y + 10
what is the solution to the system of equations?
○ (-4, -18)
○ (-18, -4)
○ (7, 1)
○ (1, 7)

Explanation:

Step1: Substitute \( y = 5x + 2 \) into \( 3x=-y + 10 \)

Substitute \( y \) in the second equation: \( 3x=-(5x + 2)+10 \)

Step2: Simplify the equation

Expand and simplify: \( 3x=-5x - 2 + 10 \), \( 3x=-5x + 8 \)

Step3: Solve for \( x \)

Add \( 5x \) to both sides: \( 3x + 5x=-5x + 8 + 5x \), \( 8x = 8 \), so \( x = 1 \)

Step4: Find \( y \) using \( y = 5x + 2 \)

Substitute \( x = 1 \): \( y = 5(1)+2 = 7 \)

Answer:

D. (1, 7)