SOLUTION: how do you do this problem: -4x+5y+-11 2x+3y=11 The answer in the book is(4,1), and I do not understand how to get that. Can you please explain? Thank you!

Algebra ->  Expressions-with-variables -> SOLUTION: how do you do this problem: -4x+5y+-11 2x+3y=11 The answer in the book is(4,1), and I do not understand how to get that. Can you please explain? Thank you!      Log On


   



Question 94932: how do you do this problem:
-4x+5y+-11
2x+3y=11
The answer in the book is(4,1), and I do not understand how to get that.
Can you please explain?
Thank you!

Answer by kiljoy(51) About Me  (Show Source):
You can put this solution on YOUR website!
There are a couple ways to do this. One simple way would be to add the linear system.
-4x+5y+-11
2x+3y=11->multiply by 2->4x+6y=22
Now, add the 2 equations.
-4x+5y=-11
4x+6y= 22
__________
11y=11
y=1
Now substitute the y value in either equation.
2x+3(1)=11
2x+3=11
2x=8
x=4
Your x,y solution is (4,1)