1. ## Answer in Algebra book doesn't match mine!

To make a long story short, I'm in the "Solving Systems of Equations Algebraically" section and the instructions want me to use the Elimination Method. The problem is: 8x-4y=16 over 4x+5y=22

For the x variable I got 7 as my answer, but the book says it should be 3. Am I right or is the book right?

-Thanks

2. Originally Posted by HazelHybrid
To make a long story short, I'm in the "Solving Systems of Equations Algebraically" section and the instructions want me to use the Elimination Method. The problem is: 8x-4y=16 over 4x+5y=22

For the x variable I got 7 as my answer, but the book says it should be 3. Am I right or is the book right?

-Thanks
the book is right

x = 3, y = 2

you can check this yourself

3. 8x-4y=16
4x+5y=22

Now, you want to make this such that you can cancel out x or y so you can solve for the other. Once you solve for one of the variables, you can plug it in and easily solve for the other.

8x-4y=16
(4x+5y=22)*-2

8x-4y=16
-8x-10y=-44

-14y=-28
y=2

Plug in y=2 into the original equation and solve for x. x=3