I need help on this math!!! On number 24.

in the ordered pair; ( x  = 27/4 , y = 1/4 )

Step-by-step explanation:

Given that:

The system of the equation shown below is:

-2x - 14y = 10

 2x + 2y = 14

We are to use the elimination method to determine the ordered pair.

From the above equation:

-2x - 14y = 10  --- (1)

 2x + 2y = 14   --- (2)

Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.

-2x - 14y = 10

 2x + 2y = 14      

 0  - 16y = -4        

- 16 y = - 4

divide both sides by - 16, Then:

-16y /-16 = -4/-16

y = 1/4

Since y = 1/4, Then from equation (2), x will be :

2x + 2y = 14

2x + 2(1/4) = 14

2x + 1/2 = 14

2x = 14 - 1/2

2x = 13.5

x = 13.5/2

x = 27/4

Thus, in the ordered pair; ( x  = 27/4 , y = 1/4 )