Question

Solve using the Elimination Method

x - 2y = 4
3x + 4y = 2​

Answer 1

Answer: x=2, y=-1

Explanation:

Step 1) Make both equations have the same coefficient

What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.

`(2)x - (2)2y = (2)4\\2x-4y=8`

Step 2) Add the equations together to eliminate y

`2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10`

Step 3) Solve for x

`(5x)/(5) =(10)/(5) \\x=2`

Step 4) Sub the value of x into an equation and solve for y

`x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\(-2y)/(-2) =(2)/(-2) \\y=-1`