Question

Use the substitution method to solve the system of equations. Choose the

correct ordered pair,
2y + 2x = 8
2y - 4x = 2
O A. (4,9)
O B. (3,7)
O C. (2,5)
O D. (1,3)

Answer 1

Answer: OPTION D.

Explanation:

1. You can solve for the variable "y" from the first equation:

`2y + 2x = 8\\\\2y=8-2x\\\\y=(8-2x)/(2)\\\\y=4-x`

2. Now you must ubstitute the new equation into the second equation:

`2y- 4x = 2\\\\2(4-x) - 4x = 2`

3. Solve for the variable "x" in order to find its value:

`8-2x - 4x = 2\\\\-6x=2-8\\\\x=(-6)/(-6)\\\\x=1`

4. Now you need to substitute the value of "x" into the equation
`y=4-x` and then evaluate, in order to find the value of "y". This is:

`y=4-(1)\\\\y=3`

Therefore the solution in the form
`(x,y)`, is:

`(1,3)`