Hello!
Elimination is where you add or subtract two equations to get rid of a variable
(5x + 5y = -5) + (5x - 5y = 25)
This gives us 10x = 20
Divide 10 from both sides
x = 2
We can put x in to one of the original equations to get y
5(2) + 5y = -5
Combine like terms
10 + 5y = -5
Subtract 10 from both sides
5y = -15
divide both sides by 5
y = -3
The answer to the first one is (2, -3)
For the second one we can subtract the equations
(2x - 3y = 0) - 2x + y = 8
This gives us 4y = 8
Divide by 4 on both sides
y = 2
We can put y into one of the original equations to get x
2x + 2 = 8
subtact 2 from both sides
2x = 6
Divide both sides by 2
x = 3
The answer to the second one is (3,2)
Hope this helps!
