Question

For which system of equations is (2, 2) a solution?
A.
–3x + 3y = 0
x + 6y = 10
B.
–2x + 5y = –6
4x – 2y = 4
C.
5x – 2y = –6
3x – 4y = 2
D.
2x + 3y = 10
4x + 5y = 18

Answer 1

So you have an ordered pair (x , y) (2 , 2) so all you would do is plug in (2) for 'x' and (2) for 'y' in each equation you have...and see which one works...for example

A)

–3x + 3y = 0
x + 6y = 10

Plug in 2 and 2 for each 'x' and 'y' you see...

–3(2) + 3(2) = 0
-6 + 6 = 0 so this part works...
0 = 0

and

(2) + 6(2) = 10
2 + 12 = 10
14 = 10

This obviously isn't correct.....so A is not your answer...just do this for the other options and see which one works

Answer 2

thanks

Answer 3

No problem!