SOLUTION: Solve the following system of equations. 2 x+ 3 y = 4 5 x - 5 y = -15 Answer: (x,y) =

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Question 1178173: Solve the following system of equations.
2 x+ 3 y = 4
5 x - 5 y = -15
Answer: (x,y) =
Found 3 solutions by mananth, ikleyn, MathLover1:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

2 x+ 3 y = 4
5 x - 5 y = -15
10 x 15 y = 20
15 x -15 y = -45
Add the two equations
25 x = -25
/ 25
x = -1
plug value of x in (1)
2 x + 3 y = 4
-2 + 3 y = 4
3 y = 6
y = 2
Ans x = -1
y = 2




Answer: (x,y) =(-1,2)
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Solve the following system of equations.
2 x+ 3 y = 4
5 x - 5 y = -15
~~~~~~~~~~~~~~~~~ 


The starting equations are

    2x + 3y =   4    (1)
    5x - 5y = -15    (2)


In equation (2), divide both sides by 5.  Keep equation (1) as is.  You will get

    2x + 3y =   4    (3)
     x -  y =  -3    (4)


Now multiply equation (4) by 3 (both sides).  You will get

    2x + 3y =   4    (5)
    3x - 3y =  -9    (6)


Next, add equations  (5) and (6). You will get

    5x     = 4 - 9 = -5

hence,   x         = -5/5 = -1.


Now find y from equation (4)

     y = x + 3 = -1 + 3 = 2.


ANSWER.  x= -1;  y= 2.  


CHECK.  Check the solution ON YOUR OWN by substituting the found values to the original equations.

Solved.



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
....eq.1
....eq.2
---------------------
....eq.1, solve for



go to
....eq.2, substitute
....solve for






go to
..., substitute





Answer: (,) =(,)


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