5x-2y=-5

y-5x=3

substitution

Substitute 5x +3 for y in the first equation, then solve it for x.

Substitute 5x +3 for y in the first equation, then solve it for x.

When I subsitute 5x+3 into the equation I get x=1/5 and y=2 is this correct?

You are close! Try x = -1/5 (y is correct).

Substitute the values into the original equations to check. If both equations check out with the values you found as solutions, then you know you are on the right track! :)

To verify the solution, let's substitute x = -1/5 and y = 2 into the original equations:

5(-1/5) - 2(2) = -5
This simplifies to -1 - 4 = -5, which is true.

2 - 5(-1/5) = 3
This simplifies to 2 + 1 = 3, which is also true.

Since both equations check out with our values, we can conclude that the solution is x = -1/5 and y = 2. Great job!