MATH SOLVE

5 months ago

Q:
# Graph the system of equations on graph paper.{8x+6y=482x−3y=−6 Which statements are true about the solution to the system of equations?Select each correct answer.

Accepted Solution

A:

If these are the missing choices:
The ordered pair
that is the solution to the system lies in Quadrant I .

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

The x-coordinate of the solution is −3 .

The y-coordinate of the solution is 3.

The x-coordinate of the solution is 3.

The y-coordinate of the solution is 4. Given: 1st equation: 8x + 6y = 48

2nd equation: 2x - 3y = -6 My solution: We need to zero out one variable to get the value of the other. In this case, we need to multiply the 2nd equation by 4 to zero out variable x. 4(2x – 3y) = 4(-6) 8x – 3y = -24 We then subtract the answer of the 2nd equation from the 1st equation. 8x + 6y = 48 -(8x -3y = -24) 8x + 6y = 48 -8x + 12y = + 24 0 + 18y = 72 y = 72 / 18 y = 4 We then substitute y by its value in the 1st equation to get the value of x. 8x + 6(4) = 48 8x + 24 = 48 8x = 48 – 24 8x = 24 x = 24/8 x = 3 the coordinate point is (3,4). Of the 6 choices, the following choices are TRUE: The ordered pair that is the solution to the system lies in Quadrant I .

The x-coordinate of the solution is 3.

The y-coordinate of the solution is 4.

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

The x-coordinate of the solution is −3 .

The y-coordinate of the solution is 3.

The x-coordinate of the solution is 3.

The y-coordinate of the solution is 4. Given: 1st equation: 8x + 6y = 48

2nd equation: 2x - 3y = -6 My solution: We need to zero out one variable to get the value of the other. In this case, we need to multiply the 2nd equation by 4 to zero out variable x. 4(2x – 3y) = 4(-6) 8x – 3y = -24 We then subtract the answer of the 2nd equation from the 1st equation. 8x + 6y = 48 -(8x -3y = -24) 8x + 6y = 48 -8x + 12y = + 24 0 + 18y = 72 y = 72 / 18 y = 4 We then substitute y by its value in the 1st equation to get the value of x. 8x + 6(4) = 48 8x + 24 = 48 8x = 48 – 24 8x = 24 x = 24/8 x = 3 the coordinate point is (3,4). Of the 6 choices, the following choices are TRUE: The ordered pair that is the solution to the system lies in Quadrant I .

The x-coordinate of the solution is 3.

The y-coordinate of the solution is 4.