Question

Solve the system of equations.
2x-3y=21
-6x+2y=7

Part1. Explain the steps you would take to solve the system by eliminating the x-terms .

Part2. Explain the steps you would take to solve the system by eliminating the y-terms.

Part3. Find the values of x and y in the system. Show you work.

Answer 1

I'm so confused

Answer 2

in order to use the elimination method you have to make the variables of x or y in both equations have the same coefficient. Part1: you will need to multiply the 1st equation by 3
3(2x−3y)=21
therefore the 1st equation would turn to.
6x-9y=21
and bring the second equation
−6x+2y=7
Now you may scratch both of the Xs in both equations and add the y values together and add the 21+7 together therefore we will have
-7y=28
then solve for y. after that substitute y value in any of the original equations to get the x value. when doing Part 2 you'll do exactly the same of this. but for the Ys not Xs Does that help?

Answer 3

if you need more details let me know.

Answer 4

do you get this??