Question

Solve the system of linear equations by elimination.

4x + 3y = -5
-x+3y=-10
solution:

Answer 1

x=1, y=-3

Explanation:

We first see there is a 3y in both equations. We can completely eliminate the y term by subtracting the equations.
`(4x+3y=-5)-(-x+3y=-10)`. This gives us (4x--x)=(-5--10), which is 5x = 5. So, x = 1.

Now we can plug this value in to solve for y. Let's plug it in to
`-x+3y=-10`. We get
`-1 + 3y=-10`, so 3y = -9 and y = -3. Hope this helps!