Question

4x+3y=12

2x+3y=-6
Which statements are true about the solution to the equations?
Select each correct answer:
A:The y coordinate of the solution is 9
B:The e coordinate of the solution is 9
C:The ordered pair that is the solution to the system lies and Quadrant IV
D:The x coordinate of the solution is 8
E:The ordered pair that is the solution to the system lies in quadrant l
F:The y coordinate of the solution is -8

Answer 1

B, C, F

Explanation:

Given:

`\left\{\begin{array}{l}4x+3y=12\\ \\2x+3y=-6\end{array}\right.`

Subtract the second equation from the first equation:

`(4x+3y)-(2x+3y)=12-(-6)\\ \\4x+3y-2x-3y=12+6\\ \\2x=18\\ \\x=9`

Option B "The x coordinate of the solution is 9" is ture

Substitute it into the first equation:

`4\cdot 9+3y=12\\ \\36+3y=12\\ \\3y=12-36\\ \\3y=-24\\ \\y=-8`

Option F "The y coordinate of the solution is -8" is true.

Point (9,-8) is in the IV quadrant, so option C is true.