Question 1178173
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Solve the following system of equations.
2 x+ 3 y = 4
5 x - 5 y = -15
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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.


<U>ANSWER</U>.  x= -1;  y= 2.  


<U>CHECK</U>.  Check the solution ON YOUR OWN by substituting the found values to the original equations.
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Solved.