Question

Use the substitution method to solve the following system of linear equations:

2x + 2y = 10
x = –y + 5

A.
There are an infinite number of solutions.

B.
There is no solution.

C.
The solution is (4, –1).

D.
The solution is (2, –3).

im thinking its A but just to check is it?

Answer 1

x = -y + 5

so sub in -y + 5 in for x in the other equation
2x + 2y = 10
2(-y + 5) + 2y = 10 --- distribute
-2y + 10 + 2y = 10 -- subtract 10 from both sides
-2y + 2y = 10 - 10
0 = 0
when your answer comes out equal, there is infinite solutions. If your answer would have come out like this : 2 = 3, then there would have been no solution.

INFINITE SOLUTIONS is the answer

Answer 2

thank you so much !

Answer 3

no problem :)