SOLUTION: Solve the system of equations (find the values for both x and y). 3x - 2y = -8 x + 3y = 1 Do I * top and bottom by 3?

Algebra ->  Equations -> SOLUTION: Solve the system of equations (find the values for both x and y). 3x - 2y = -8 x + 3y = 1 Do I * top and bottom by 3?      Log On


   

Question 614958: Solve the system of equations (find the values for both x and y).
3x - 2y = -8
x + 3y = 1
Do I * top and bottom by 3?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
3x-2y=-8..........(1)
x%2B3y=1............(2)
Multiply (2) by 3 and subtract from (1)
cross%283x%29-2y=-8
cross%28-3x%29-9y=-3
---------------------
-11y=-11
cross%28-11%29y=cross%28-11%29
y=1
Put the value of y in (2)
x%2B3y=1............(2)
x%2B3%281%29=1
x%2B3=1
x=1-3
x=-2
x,y=-2,1

Check
=====
Put the values of x and y in (1)
3x-2y=-8..........(1)
3%28-2%29-2%281%29=-8
-6-2=-8
-8=-8
Put the values of x and y in (2)
x%2B3y=1
-2%2B3%281%29=1
-2%2B3=1
1=1