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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)

User Giao
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1 Answer

4 votes

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)

User Daniel Rikowski
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