SOLUTION: i need this in (x,y) form x+3y=2 2x-3y=22 thanks

Question 319820: i need this in (x,y) form
x+3y=2
2x-3y=22
thanks
Answer by Sunny Day(15) (Show Source): You can put this solution on YOUR website!
you are given two equations in two variables and asked to give the (x,y) form. It just means that you need to find the values of x and y and write them within single brackets.
Now the given equations are
x+3y=2
2x-3y=22
Now, in order to find the values of x and y, we have to obtain a single equation in either x or y from the given two equations.
On comparing the two given equations we can see that the 'y' terms will get cancelled out by just adding the two of them.
i.e. x+3y+2x-3y=2+22 (add the left hand sides and the right hand sides separately)
or x+2x+3y-3y=2+22 (bringing like terms together)
3x+0=24 (since 3y-3y=0)
3x = 24
x = 24/3 = 8.
Now substitute this value of x in the first equation to get the value of y.
i.e. 8 + 3y = 2
3y = 2 - 8 (on transposing, + 8 becomes - 8)
3y = -6
y = -6/3
y = -2.
SO the answer is (x,y) = (8,-2).
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