Question

Choose the graph that matches the following system of equations:

4x + 2y = −2
x − 3y = 24

A) a line includes points 0 comma 8 and 3 comma 7. A line includes points negative 1 comma 0 and negative 6 comma 10

B) a line includes points 0 comma 8 and 3 comma 7. A line includes points negative 1 comma 3 and negative 2 comma 7

C) a line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6

B) a line includes points 0 comma negative 1 and 1 comma negative 5. A line includes points negative 1 comma negative 9 and 2 comma negative 6

Answer 1

Option C.

Explanation:

we have

`4x + 2y = -2` -----> equation A

`x-3y=24` -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

see the attached figure

The intersection point is (3,-7) -----> is a common point both lines

The point (1,-3) belong to the line A

The point (6,-6) belong to the line B

therefore

a line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6