SOLUTION: Im doing Elimination using Multiplication. The problem is 1/4x + 4y = 2 3/4 and 3x + 1/2y = 9 1/4

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Question 751986: Im doing Elimination using Multiplication. The problem is 1/4x + 4y = 2 3/4 and 3x + 1/2y = 9 1/4
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x = 3, y = 1/2
multiply both by 4 to get rid of fractions
x+16y=11
12x+2y=37


Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F4x+%2B+4y+=+2%26+3%2F4 and 3x+%2B+1%2F2y+=+9%26+1%2F4

Did you really mean this:
%281%2F4%29x+%2B+4y+=+2%26+3%2F4 and 3x+%2B+%281%2F2%29y+=+9%26+1%2F4
?
Multiply either equation by some number so that the coefficients on either the x or the y are the same, and then subtract one equation from the other equation and solve for the single variable present.

Alternatively multiply EACH equation by numbers to make the coefficient on either x or y match; and then subtract one equation from the other. Solve the variable.

Here is one way:
Starting with your second equation,
8%2A%283x+%2B+%281%2F2%29y%29+=+8%2A%289%26+1%2F4%29
Gives you
24x%2B4y=74 another equivalent equation to your second equation.

So your system could be
-----------------------------
%281%2F4%29x+%2B+4y+=+2%26+3%2F4
24x%2B4y=74
-----------------------------

See that the coefficients on y in both these are both 4.
Now, subtract the first equation from the second equation, and solve for x.