SOLUTION: 2x-3y =18 and 5x +3y =3 solutions ( 3 ,-4) dont understand how my book got the solution 3 need a full break down

Question 187389: 2x-3y =18 and 5x +3y =3

solutions ( 3 ,-4) dont understand how my book got the solution 3 need a full break down
Found 4 solutions by MathLover1, stanbon, uday1435, josmiceli:
Answer by MathLover1(3376)   (Show Source):
You can put this solution on YOUR website!
…..(1)
……(2)…..add (1) and (2) to eliminate and solve for
…..(1)
……(2)…..
________________________

……plug it in (1) and find
…..(1)

Answer by stanbon(48568)   (Show Source):
You can put this solution on YOUR website!
2x-3y =18
5x +3y =3
---------
Add to solve for "x":
7x = 21
x = 3
---------
Substitute into 5x + 3y = 3 to solve for "y":
5*3 + 3y = 3
15 + 3y = 3
3y = -12
y = -4
------------
Solution: (3,-4)
=====================
Cheers
Stan H.

Answer by uday1435(57)   (Show Source):
You can put this solution on YOUR website!
2x - 3y = 18
5x + 3y = 3
------------ Adding these eqns we get
7x = 21
Dividing both sides by 7 we get
x = 21/7 = 3
Substitutig the value of x in the first equation we get
2(3) - 3y = 18
6 - 3y = 18 subtracting 6 from both sides of this equation we have
- 3y = 18 - 6 = 12 Dividig both sides by - 3 we get
- 3y / (-3) = 12/ (-3)
y = - 4
so x = 3 and y = -4 are the solution
If you still require further clarifications please write to udayakumar.t.r@gmail.com

Answer by josmiceli(6787)   (Show Source):
You can put this solution on YOUR website!

Just add these together

Then substitute this back into
either equation

Add to both sides

Subtract from both sides

The answer is (3,-4)