Question

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

2x + 2y = 10
x = –y + 5

A.
The solution is (4, –1).

B.
There is no solution.

C.
There are an infinite number of solutions.

D.
The solution is (2, –3).

Answer 1

@iPwnBunnies @Luigi0210 @wolfe8 @phi @Whitemonsterbunny17

Answer 2

Add 'y' to both sides of the second equation, and you'll see.
Plus, you can factor something. c:

Answer 3

Is it D?

Answer 4

wait.... A?

Answer 5

@dan815

Answer 6

What did you find out when you added 'y' to both sides? .-.

Answer 7

Idk! >.< I dont understand how to do this at all

Answer 8

.-. Just do what I say, add 'y' to both sides in the second equation.

2x + 2y = 10
x + y = 5

Can you factor something out of the top equation?

Answer 9

um... 10?

Answer 10

or is it 5?

Answer 11

._. What factor do 2x and 2y share?

Answer 12

2

Answer 13

you multiply them by 2?

Answer 14

Right! :D
2x + 2y = 10
2(x+y) = 10

Can't we also factor out a 2 out of the 10?

2(x+y) = 2(5)

Answer 15

sorry im back and im kind of confused what to do next

Answer 16

Well, you have a 2 factor on both sides. You can cancel them out. ._.

You're left with x + y = 5
The same as the second equation.

The first equation is just a multiple of the second equation.
They would graph the same line. c:

Answer 17

oh, ok so C

Answer 18

Yep.

Answer 19

Thanks dude! Really helped me out =D got an 88% :D