Question

How would I solve that by elimination?

Answer 1

In elimination we want to multiply one or both equations so that one of the variables (either x or y) has the same coefficient as the other variable in the other equation. Then we want to subtract or add them from each other in order to cancel out one variable in the equation. From there we solve for the leftover variable and use that value in the one of the equations to figure out the other variable.

8x - 5y = 11

4x - 3y = 5

I want to make x the same in both equations, so I will multiply by 2 on both sides

2(4x - 3y) = 2(5)
=
8x - 6y = 10

Now we compare them, and we subtract in this case (top minus bottom)

8x - 5y = 11

8x -6y = 10
—————————

-1y = 1

Y = -1

Now we substitute into the original equation because we have the value of one variable.

4x - 3(-1) = 5

4x + 3 = 5
4x = 5-3 = 2
X=1

Double check these answers and let me know!!!!

Y = -1

X = 1

Answer 2

Showing with 4x-3y=5
4(4)-3(11/3)=5