Question

solve the system.
y = 2x + 10
y = -2x - 6
○ (5, 6)
○ infinitely many solutions
○ (-4, 2)
○ no solution

Explanation:

Step1: Set equations equal to each other

Since $y = 2x + 10$ and $y = -2x - 6$, substitute to get:
$2x + 10 = -2x - 6$

Step2: Solve for $x$

Combine like terms by adding $2x$ to both sides and subtracting 10 from both sides:
$2x + 2x = -6 - 10$
$4x = -16$
$x = \frac{-16}{4} = -4$

Step3: Find $y$ using $x=-4$

Substitute $x=-4$ into $y = 2x + 10$:
$y = 2(-4) + 10 = -8 + 10 = 2$

Answer:

C. (-4, 2)