2x + 3y = 2 x - 3y = 7 find x and y

2x + 3y = 2    

x - 3y = 7
 

First multiply everything in the bottom equation by
2

By multiplying,  you should
get

2x + 3y = 2

2x - 6y = 14
now subtract 2x with 2x ( which means subtract 3y with -6y and 2 with 14
) 

By subtracting,  you should
get

9y = -12 divide both sides by
9

By dividing, you should
get

Y = -12/9 simplify

Y =
-4/3 which is your answer for " y "

Now plug -4/3 into one
of the equation

X - 3 ( -4/3 ) = 7 multiply -3 with
-4/3 

By multiplying,  you should
get

X + 12/3 = 7 subtract 12/3 on both
sides

By subtracting, you should
get

X = 4 which is your answer for " x
" 

So x = 4 and y = -4/3