Question

Use elimination to determine which ordered pair is the solution to the system of equations below. Use the space below to show all steps (by typing the steps) in order, then choose the correct answer. You can write the solution as an ordered pair or write the letter of the correct answer. All work must support the answer that you choose. -2x - 14 = 10 2x + 2y = 14

Answer 1

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

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 )