Question

question 5 (multiple choice worth 2 points)
(solve systems of equations by graphing mc)

solve the system of equations.
$y = 2x + 7$
$y = -3x + 2$
$(-5, 1)$
$(-3, 2)$
$(2, 7)$
$(-1, 5)$

Explanation:

Step1: Set equations equal

Since $y = 2x + 7$ and $y = -3x + 2$, set them equal to each other:
$2x + 7 = -3x + 2$

Step2: Solve for $x$

Add $3x$ to both sides, subtract 7 from both sides:
$2x + 3x = 2 - 7$
$5x = -5$
$x = \frac{-5}{5} = -1$

Step3: Find $y$ with $x=-1$

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

Answer:

(-1, 5)