Question 24763
x/3 + 4y = 30

2x - y = 5

Solve for x:  To eliminate the y's, multiply each side of second equation by 4 (you could also multiply each side of the first equation by 1/4)
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so, the second equation becomes:

4 [2x - y] = 4 [5]
or
8x - 4y = 20

now, eliminate the y's and simplify:

x/3 + 8x = 50

3 [x/3 + 8x] = 3 [50]

x + 24x = 150

25x = 150

x = 6
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Now, solve for y by eliminating the x's.  Do this by multiplying each side of the first equation by "-6" (or, you could also multiply both sides of the second equation by "-1/6")

so,

if you multiply both sides of the first equation by "-6", you will have:

 (-6) [x/3 + 4y] = (-6) [30]
or
   -2x - 24y = -180

Now, the two equations can be stated as:

1)   -2x - 24y = -180

2)    2x - y  =  5

Now, combine the equations to eliminate the x's:

     -25y  = -175  (if you now divide each side by "-25" you have):

     y = 7

Therefore, your answer is (6,7)  you can check your answer by plugging (6,7) into the two original equations.