Question

What is the solution to the system of equations graphed below?

Y = 4x + 11
Y = -2x - 1
A. (-2,3)
B. (-3,2)
C. (-3,-1)
D. (0,-1)

Answer 1

y = 4x + 11
y = -2x - 1

4x + 11 = -2x - 1
4x + 2x = -1 - 11
6x = -12
x = -12/6
x = -2

y = 4x + 11
y = 4(-2) + 11
y = -8 + 11
y=3

A. (-2,3)

Answer 2

Option A. (-2, 3)

Explanation:

The given equations graphed are Y = 4x + 11 and Y = -2x - 1

Now for the solution to the system of equations graphed Y values will be the same or a point where these lines intersect will be the solution.

Y = 4x + 11 = -2x - 1

4x + 2x = -1 - 11

6x = -12

x = -2

Now by putting x = -2 in the first equation.

Y = 4.(-2) + 11 = -8 + 11 = 3

The common point will be (-2, 3)

Therefore option A. (-2, 3) will be the answer.