Question

Graph the system of equations on graph paper. {4x+3y=122x+3y=−6 Which statements are true about the solution to the system of equations? Select each correct answer. The x-coordinate of the solution is 9. The ordered pair that is the solution to the system lies in Quadrant IV . The y-coordinate of the solution is 9. The x-coordinate of the solution is 8. The y-coordinate of the solution is −8 . The ordered pair that is the solution to the system lies in Quadrant I .

Answer 1

The x-coordinate of the solution is 9.

The ordered pair lies in 4th quadrant.

The y-coordinate of the solution is -8.

Answer 2

First we have to solve the system of equation using method of elimination.
4x+3y=12 Equation 1
2x+3y=-6 Equation 2
Subtract equation 2 from equation 1.

4x+3y-(2x+3y)=12-(-6)
4x+3y-2x-3y=12+6
2x=18
x=9
Now substitute value of x in equation 1.
4(9)+3y=12
36+3y=12
3=-24
y=-8
So solution is (9,-8)

Correction answers are:
The x-coordinate of the solution is 9.
The ordered pair lies in 4th quadrant.
The y-coordinate of the solution is -8.

These are the correct options for the given system of equation.
The graph is attached.