MATH SOLVE

2 months ago

Q:
# Graph the system of equations on graph paper. {4x+3y=122x+3y=β6 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 β8 . The ordered pair that is the solution to the system lies in Quadrant I .

Accepted Solution

A:

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.Β

The y-coordinate of the solution is -8.

These are the correct options for the given system of equation.

The graph is attached.

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.Β

The y-coordinate of the solution is -8.

These are the correct options for the given system of equation.

The graph is attached.