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)

Question

asked Jun 25, 2020 17.1k views

1 Answer

Daniel Rikowski · Answer 1 · 2020-06-30T19:18:01+0000

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)