Question

A system of equations is shown below. Which statement about the ordered pair (-7,-3) is true?

3x + 3y = - 30
2x + y = -17

a) It is not a solution to either equation.

b) It is one of many solutions to the system.

c) It is the only solution to the system.

d) It is a solution to the first but not the second equation.

Answer 1

The lines defined by the equations are not parallel and the point is a solution to both of them.
It must be the point of intersection so it is the only solution to the system

Answer 2

Answer:

C) It is the only solution to the system.

Explanation:

3x + 3y = -30

2x + y = -17

3(-7) + 3(-3) = -30

-21 + -9 = -30

-30 = -30

True

2x + y = -17

2(-7) + (-3) = -17

-14 + -3 = -17

-17 = -17

True