Question

what is the solution of this linear system?
4x + y = -1

y = -2x + 3

a. (-2, 7)

b. (-2, -7)

c. (2, 7)

d. (2, -7)

Explanation:

Step1: Substitute $y$ into first equation

$4x + (-2x +3) = -1$

Step2: Simplify and solve for $x$

$4x-2x+3=-1 \implies 2x = -4 \implies x=-2$

Step3: Substitute $x=-2$ into $y=-2x+3$

$y = -2(-2)+3 = 4+3 =7$

Answer:

A. (-2, 7)