If #1/4x=5-1/2y#, what is the value of x+2y?

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Answer 1 · 2016-11-30T08:43:13

#x+2y =20#

Simplify the given equation first by getting rid of the decimals.

#1/4x=5-1/2y" "larr xx 4#

#4xx 1/4x= 4xx5 -4xx1/2y#

#x = 20-2y" "larr# the variables are almost what we need.

Re-arranging gives exactly what we want.

#x+2y =20#

Note that because there are 2 variables, there is no one unique solution to the equation, but infinitely many solutions.

(This is the equation of a straight line.)