X-2y equals 5 2x-y equals 6 using substitution?

Answer 1

Given:

x - 2y = 5

Solve for x:

x = 5 + 2y

Given :

2x - y = 6

Replace x with the value we found above:

2(5 + 2y) - y = 6

10 + 4y - y = 6

3y = -4

y = -4/3

Now take one of our original equations, and plug in that value of y to get x:

x - 2(-4/3) = 5

x = 5 - 8/3

x = 7/3

Now check if we're right:

x - 5 = 2y

7/3 - 15/3 = 2(-4/3)

-8/3 = -8/3

So that is the answer. x = 7/3 and y = -4/3.