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 .
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.
