SOLUTION: Solve the following system of linear equations using any method. If a solution does not exist, write no solution. 5x+6y=14 -3y+x=7

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the following system of linear equations using any method. If a solution does not exist, write no solution. 5x+6y=14 -3y+x=7      Log On


   

Question 203325: Solve the following system of linear equations using any method. If a solution does not exist, write no solution.
5x+6y=14
-3y+x=7
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
5x + 6y = 14
-3y + x = 7
Arrange it like this:
5x + 6y = 14
x - 3y = 7 :(multiply this equation by 2, add to the 1st equation
;
5x + 6y = 14
2x - 6y = 14
----------------adding eliminates y, find x
7x = 28
x = 28%2F7
x = 4
:
Find y using the 1st equation
5(4) + 6y = 14
20 + 6y = 14
6y = 14 - 20
6y = -6
y = %28-6%29%2F6
y = -1
;
Check solutions using the 2nd equation
-3y + x = 7
-3(-1) + 4 = 7
+3 + 4 = 7