8x + 6y = 48

2x - 3y = - 6

Which statements are true about the solution to the system equation?

1. The ordered pair that is the solution to the system lies in quadrant II

2. The x-coordinate of the solution is 3

3. The y-coordinate of the solution is 3

4. The y-coordinate of the solution is 4

5. The ordered pair that is the solution to the system lies is quadrant I

6. The x - coordinate of the solution is - 3

Which ones are true?

2. The x-coordinate of the solution is 3

4. The y-coordinate of the solution is 4

5. The ordered pair that is the solution to the system lies is quadrant I

Proof:

Solve the following system:

{8 x + 6 y = 48 | (equation 1)

{2 x - 3 y = - 6 | (equation 2)

Subtract 1/4 * (equation 1) from equation 2:

{8 x + 6 y = 48 | (equation 1)

{0 x - (9 y) / 2 = - 18 | (equation 2)

Divide equation 1 by 2:

{4 x + 3 y = 24 | (equation 1)

{0 x - (9 y) / 2 = - 18 | (equation 2)

Multiply equation 2 by - 2/9:

{4 x + 3 y = 24 | (equation 1)

{0 x+y = 4 | (equation 2)

Subtract 3 * (equation 2) from equation 1:

{4 x+0 y = 12 | (equation 1)

{0 x+y = 4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 3 | (equation 1)

{0 x+y = 4 | (equation 2)

Collect results:

Answer: {x = 3, y = 4

Solve the following system:

{8 x + 6 y = 48 | (equation 1)

{2 x - 3 y = - 6 | (equation 2)

Subtract 1/4 * (equation 1) from equation 2:

{8 x + 6 y = 48 | (equation 1)

{0 x - (9 y) / 2 = - 18 | (equation 2)

Divide equation 1 by 2:

{4 x + 3 y = 24 | (equation 1)

{0 x - (9 y) / 2 = - 18 | (equation 2)

Multiply equation 2 by - 2/9:

{4 x + 3 y = 24 | (equation 1)

{0 x+y = 4 | (equation 2)

Subtract 3 * (equation 2) from equation 1:

{4 x+0 y = 12 | (equation 1)

{0 x+y = 4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 3 | (equation 1)

{0 x+y = 4 | (equation 2)

Collect results:

Answer: {x = 3, y = 4