to begin solving this system of linear equations by elimination, you can add the equations.
3x+2y=38
5x-2y=-30
= 8x=8
this step works because of the
elimination property of addition: if you add the same value to both sides of an equation, the equation remains true.
To solve the system of equations by elimination, you need to eliminate one variable by adding or subtracting the equations. In this case, if you add the equations together, the y term will cancel out:
(3x + 2y) + (5x - 2y) = 38 + (-30)
8x = 8
This step works because when you add the equations, the 2y and -2y terms cancel each other out, leaving only the x terms on one side and the constant terms on the other side. You then simplify the equation to get 8x = 8.