Question

Solve using the Elimination Methodx - 2y = 4 3x + 4y = 2​

Answer 1

Answer: x=2, y=-1

Step-by-step 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

$\frac{5x}{5} =\frac{10}{5} \\x=2$

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

$x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1$