Question

what is the solution of this system of equations?
y = 3x + 5
y = -x + 3
a. (2.1, 11.3)
b. (-2.1, 5.1)
c. (-0.5, 3.5)
d. (0.5, 2.5)

Explanation:

Step1: Set equations equal

$3x +5 = -x +3$

Step2: Solve for x

$3x +x = 3 -5 \implies 4x = -2 \implies x=\frac{-2}{4}=-0.5$

Step3: Substitute x to find y

$y = -(-0.5) +3 = 0.5 +3 = 3.5$

Answer:

C. (-0.5, 3.5)