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

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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(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y+=18 …..(1)
5x+%2B3y+=3……(2)…..add (1) and (2) to eliminate y and solve for x
2x-3y+=18 …..(1)
5x+%2B3y+=3……(2)…..
________________________
2x+-3y+%2B5x+%2B3y=18+%2B+3
7x+=+21
x+=+21%2F7
x+=+3……plug it in (1) and find y
2%2A3-3y+=18 …..(1)
6-3y+=18
6-18+=3y
-12+=3y
-12+%2F3=y
y=-4

Answer by stanbon(75887) About Me  (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) About Me  (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(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y+=+18
5x+%2B3y+=+3
Just add these together
7x+=+21
x+=+3
Then substitute this back into
either equation
2%2A3+-+3y+=+18
6+-+3y+=+18
Add 3y to both sides
3y+%2B+18+=+6
Subtract 18 from both sides
3y+=+-18+%2B+6
3y+=+-12
y+=+-4
The answer is (3,-4)