Answer:
The solution is (1, -1)
Explanation:
Rearrange the first equation so it is in standard form just like the second equation. To do this, subtract y from both sides.
5x = y + 6
-y -y
rewrite the equations
5x - y = 6
5x + 2y = 3
You have two choices of which variable ( x or y) you can eliminate. Regardless of choice you have to multiply one of the equations by a number. What you really want to look for is a set of twins, meaning you have the same number and the same variable. Also one has to be negative and one has to be positive. Both equations have a 5x, so I need to make one negative by multiplying the entire equation by -1. I'll do that with the top equation. This just changes the signs of each term.
-1(5x - y = 6)
-5x + y = -6
5x + 2y = 3
Add the two equations and solve for y. The -5x and 5x will now be eliminated. Remember there is a 1 in front of the y.
3y = -3
3y/3 = -3/3
y = -1
Now solve for x. Pick either of the original equations to substitute in for y. I'm going to pick the first one.
5x = y + 6
5x = -1 + 6
5x = 5
5x/5 = 5/5
x = 1
The solution is (1, -1)