Question

-5x+3y=6 x-y=4

Answer 1

x - y = 4 --> x = 4 + y
now sub 4 + y in for x in the 1st equation...
-5x + 3y = 6
-5(4 + y) + 3y = 6 (combine like terms and solve for y)
can you take it from here ?

Answer 2

By the way....welcome to open study...I think your gonna like it here, I do :)

Answer 3

thank you!

Answer 4

do you understand how to do the problem ?

Answer 5

not really..

Answer 6

ok....for the 2nd equation...x - y = 4...I made x the subject and put everything else on the other side of the equal sign and turned it into x = 4 + y.
I then substituted 4 + y in for x in the 1st equation. Do you understand that ?

Answer 7

ya. and then -5 and -5x would be 10x multiply that by 4, and get 40x then add like terms of 3y & y together and get 4y so 40x+4y=6. where do i go from there?

Answer 8

no....
-5(4 + y) + 3y = 6 (distribute the -5 through the parenthesis)
-20 - 5y + 3y = 6
-5y + 3y = 6 + 20
- 2y = 26
y = 26/-2
y = - 13
can you see how I did that ?

Answer 9

yep! thank you so so much. now how do i get x? sorry!

Answer 10

to get x, you then sub -13 in for y in either of the original equations...
x - y = 4
x -(-13) = 4
x + 13 = 4
x = 4 - 13
x = - 9

lets check....sub in known values into either of the original equations...
-5x + 3y = 6
-5(-9) + 3(-13) = 6
45 - 39 = 6
6 = 6 (correct)

x = -9 and y = -13 or (-9,-13)
Do you have any questions ?

Answer 11

nope! thank you so much!

Answer 12

your welcome ....glad to help :)