# SOLUTION: Please can you help me find x -7x + 8y + 3y = 10 28x/4 - 12y = 7

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 Question 50805: Please can you help me find x -7x + 8y + 3y = 10 28x/4 - 12y = 7Found 2 solutions by darq, AnlytcPhil:Answer by darq(90)   (Show Source): You can put this solution on YOUR website!-7x + 8y + 3y = 10 28x/4 - 12y = 7 -7x + 11y = 10 7x - 12 y = 7 then all you need to do is adding the equations (-7x + 11y) + (7x - 12y) = 10 + 7 =) -7x + 11y + 7x - 12y = 17 now you need to find the sum of x's and y's =) 7x-7x + 11y-12y = 17 =) 0 + -y = 17 so you got rid of x. now you need to multiply both sides with negative one. =) y = -17 so we found the y. now all you need to do is to substitute it with one of the equations you gave. i chose "28x/4 - 12y = 7" 7x - 12(-17) = 7 7x + 204 = 7 now we need to have x in one side and the number in the other side 7x = 7-204 7x = -197 you need to divide both sides wth "7" ______ x = -28,142857 if you want to show the x as a fraction it is -2 so that is it! Answer by AnlytcPhil(1277)   (Show Source): You can put this solution on YOUR website!```Please can you help me find x -7x + 8y + 3y = 10 28x/4 - 12y = 7 In the first equation, combine like terms 8y + 3y as 11y -7x + 11y = 10 In the second equation, in the term 28x/4 the 4 can be canceled into the 28 like this 7 28x/4 1 to give 7x - 12y = 7 So we now have this system of equations -7x + 11y = 10 7x - 12y = 7 Now if we add these equations term-by-term vertically, the x's will cancel: -7x + 11y = 10 7x - 12y = 7 -------------- -y = 17 Divide both sides by -1 y = -17 Substitute -17 for y in 7x - 12y = 7 7x - 12(-17) = 7 7x + 204 = 7 7x = -197 x = -197/7 Edwin```