SOLUTION: Use elimination to solve: x+3y=16 2x-y=4 How do I find what x or y is equal to?

Algebra.Com
Question 71736This question is from textbook Saxon Algebra 1
: Use elimination to solve:
x+3y=16
2x-y=4

How do I find what x or y is equal to?
This question is from textbook Saxon Algebra 1

Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
Use elimination to solve:
L1 x+3y=16
L2 2x-y=4
Multiply L2 by 3 so that when you add L1+L2 the y's cancel so that you can solve for x.
L2 3(2x-y)=3(4) ---> 6x-3y=12
Now add this to L1:
x+3y=16
6x-3y=12
_________
7x+0=28
7x=28
7x/7=28/7
x=4
Now substitute 4 in for x in either L1 or L2 and solve for y, I'm going with L1:
(4)+3y=16
4+3y=16
4-4+3y=16-4
3y=12
3y/3=12/3
y=4
The solution (x,y) is (4,4)
Happy Calculating!!!


RELATED QUESTIONS

Use elimination to solve each system of equations. x+y+3... (answered by ankor@dixie-net.com)
x-9y+4z=1 -2x+9y-4z=-3 2x+y-4z=-3 What does x, y, and z equal! I need to solve... (answered by TimothyLamb,stanbon)
Solving systems by elimination how do i solve this: {2 over 3x -3y = 1 over 5... (answered by ankor@dixie-net.com)
x+ 3y=16 2x-y=4 How do I rearrange these equasions to find x and... (answered by stanbon)
Use substitution to solve: x=3y-2 2x+4y=16 this is what I got: 2(3y-2)+4y=16 (answered by josmiceli)
How do I solve this using the elimination method (linear combinations method).... (answered by Alan3354)
I do not understand this problem ??? Use elimination to solve: x/2+2y=9 2x-y=18... (answered by longjonsilver)
Use Gaussian elimination to solve. x+y+z=-3 2x-3y+6z=-21... (answered by LinnW)
Graph the system of inequalities. Find the coordinates of any vertices formed. 1)6x-2y... (answered by scott8148)