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 into second equation

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

Step2: Simplify and solve for x

Expand and combine like terms:
$3x = -5x -2 + 10$
$3x + 5x = 8$
$8x = 8$
$x = \frac{8}{8} = 1$

Step3: Find y using x=1

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

Answer:

D. (1, 7)