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.)

If 1/4x=5-1/2y1/4x=5-1/2y, what is the value of x+2y?