Question

Graph the system of equations on graph paper.

Answer 1

4. The x-coordinate of the solution is 9.
5. The y-coordinate of the solution is −8 .
6.The ordered pair that is the solution to the system lies in Quadrant IV .

Proof:

Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{2 x + 3 y = -6 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = 12 | (equation 1)
{0 x+(3 y)/2 = -12 | (equation 2)

Multiply equation 2 by 2/3:
{4 x + 3 y = 12 | (equation 1)
{0 x+y = -8 | (equation 2)

Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 36 | (equation 1)
{0 x+y = -8 | (equation 2)

Divide equation 1 by 4:
{x+0 y = 9 | (equation 1)
{0 x+y = -8 | (equation 2)

Collect results:

Answer:  {x = 9 , y = -8

Answer 2

4. The x-coordinate of the solution is 9.

5. The y-coordinate of the solution is −8 .

6.The ordered pair that is the solution to the system lies in Quadrant IV .

Hope this helps