Question

Is the ordered pair (0,5) a solution of the system of linear equations:
x + y = 5
-5x + 2y = 10
a. yes
b. no
Im really not sure on this

Answer 1

Do you know how to solve systems?

Answer 2

I would be lying if i said i did lol my school doesn't explain anything :(

Answer 3

First take the first equation, and solve it for y.
y = 5-x
Then we plug this in to the next equation and solve for the value of y.
-5x + 2(5-x) = 10
-5x + 10 - 2x = 10
-7x + 10 = 10
-10 -10
-7x = 0
/-7 /-7
x = 0
Now we plug x = 0 back in to the first equation:
0+y = 5
y = 5
Ordered pair:
(0,5) SO yes it is a solution.
Does this make sense?

Answer 4

Please let me know if it does not.

Answer 5

OH thank you!!! that made perfect sense :)

Answer 6

Awesome tag me for any more help.

Answer 7

Okay thank you