Question

What is the solution of the system of equations? Explain.

y= 1x +4
2y +4= x
O
A. Infinitely many; the lines are the same.
0
B. There is no solution; the lines are parallel.
0
C. There is no solution; the lines are perpendicular.
; the lines intersect at this points.

Answer 1

Answer: (-12, -8)

Explanation:

substitute x into y

y = 1x + 4 = x + 4

2y + 4 = x

y = (2y + 4) + 4

y = 2y + 8

y - 8= 2y + 8 -8

y - 8 = 2y

y - 8 - y = 2y - y

-8 = y

plug y into x and solve

2y + 4 = x

2(-8) + 4 = x

x = -12

the point is (x,y)

they intersect at (-12, -8)