First equation
-6x - 2y = 20
Second equation
2x - y = 0
By elimination method, we need to eliminate one of the variable.
First Elimination
I want to remove y-variable to find the value of x, so multiply the first equation by 1 and multiply the second equation by 2.
-6x - 2y = 20 (multiply 1)
2x - y = 0 (multiply 2)
---------------------------------
-6x - 2y = 20
4x - 2y = 0
-------------------- - (substract)
10x = 20
x = 2
Second Elimination
I want to remove x-variable to find the value of y, so multiply the first equation by 1 and multiply the second equation by 3.
-6x - 2y = 20 (multiply 1)
2x - y = 0 (multiply 3)
----------------------------------
-6x - 2y = 20
6x - 3y = 0
------------------ + (add)
-5y = 20
y = -4
The solution is (x,y) = (2,-4)
