-y - 10 = 6x
5x + y = -10
To solve a system of linear equations by elimination, first we have to solve one of the equations for a variable and use this in the other equation
Solve the first equation for y:
-y - 10 = 6x
-10 - 6x = y
y = -6x - 10
Use this in the second equation:
5x + y = -10
5x + (-6x - 10) = -10
5x - 6x - 10 = -10
-x = -10 + 10
-x = 0
x = 0
Now that we have the value of x, we use it in the equation we solved at the beginning:
y = -6x - 10
y = -6 (0) - 10
y = 0 - 10
y = -10
Therefore the values of x and y are:
x = 0
y = 10
