Question

Choose the system of equations that matches the following graph: (5 points) picture of coordinate plane with line y equals negative 3x minus 4 and line y equals negative 5x minus 8. They intersect at negative 2, 2
A. 3x − y = −4
5x − y = −8

B. 3x − y = −4
5x + y = −8

C. 3x + y = −4
5x − y = −8

D. 3x + y = −4
5x + y = −8

Answer 1

Answer:

Option D

Step-by-step explanation:

To check whether (-2,2) is a solution to the system, let us substitute these values and check.

A. 3x − y = −4  

5x − y = −8

3(-2)-2=-8 is left side not equal to right side.

B. 3x − y = −4  

5x + y = −8

Since I equation is not satisfied not the matching system

C.3x + y = −4  

5x − y = −8  

I equation gives 3(-2)+2=-4

5(-2)-2 =-12

Since I equation is not satisfied not the matching system

Since II equation is not satisfied not the matching system

D. 3x + y = −4  

5x + y = −8

3(-2)+2=-4

5(-2)+2=-8

Thus D is the system which has solution (-2,2)