SOLUTION: Solve the equations: first: x+3y=5 second: 3x-y=5 Please show work. Thank you so much for all of your help!!!!

Question 345612: Solve the equations: first: x+3y=5
second: 3x-y=5
Please show work.
Thank you so much for all of your help!!!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the equations: first: x+3y=5
second: 3x-y=5
:
We are going to use elimination here, multiply 2nd equation by 3, add to the first
x + 3y = 5
9x -3y = 15
----------------adding eliminates y, find x
10x = 20
x =
x = 2
:
Find y using the 1st equation; replace x with 2
2 + 3y = 5
3y = 5 - 2
3y = 3
y = 1
;
:
Check solution in the 2nd equation replace x & y with 2 and 1
3(2) - 1 = 5; confirms our solution
:
Did you understand what we did here?
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