Question

How do you do the elimination method on these equations: 4x-3y=18 and 2x+y=4

Answer 1

Answer:

(1,2)

Step-by-step explanation:

We arbitrarily set out to eliminate x and then find y.

Keep 4x-3y=18 as is, but multiply 2x+y=4 by -2.  We get -4x - 2y = -8.

Combine:

4x - 3y = 18

-4x - 2y = -8

-------------------

       -5y = -10

Solving for y, we get y = 2.  

To find x, substitute y = 2 into either of the given equations.  If we choose the second equation, we get 2x + (2) = 4, so that 2x = 2 and x = 1.

The solution is (1, 2).