Question

x = y + 3
y = -4x - 3

Use the elimination method to solve the linear system of equations.
In your final answer, include all of your work

I know the answer from using the substitution method, (0, 3), but don't know the work that would be needed in order to use the elimination method.

Answer 1

I think elimination method means, add or subtract two equations in a way that it cancels a term out.

E. G.

Add the two equations,
x = y + 3
y= - 4x - 3

x+y = (y+3) + (-4x-3)
x+y = y - 4x
x=-4x
x=0

To find out Y using elimination method,
Muliply 4 to the first equation, and then subtract the second equation from the first.
4x = 4y +12
y= -4x - 3

4x-y = (4y+12) -(-4x-3)
4x-y = 4y + 4x + 15
-y = 4y + 15
-5y = 15
y = - 3

Hope this helps. Thanks