Question

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.

Answer 1

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. 

 

 

Answer 2

Here are your answers, my good sir... or maiden, if your a chick or whatever.