SOLUTION: Solve for y. x+2y=4 Show all work

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Question 117106: Solve for y.
x+2y=4
Show all work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


1x%2B2y=4 Start with the given equation


1x%2B2y-1x=4-1x Subtract 1x from both sides


2y=-1x%2B4 Simplify


%282y%29%2F%282%29=%28-1x%2B4%29%2F%282%29 Divide both sides by 2 to isolate y


y+=+%28-1x%29%2F%282%29%2B%284%29%2F%282%29 Break up the fraction on the right hand side


y+=+%28-1%2F2%29x%2B2 Reduce and simplify


The original equation 1x%2B2y=4 (standard form) is equivalent to y+=+%28-1%2F2%29x%2B2 (slope-intercept form)


The equation y+=+%28-1%2F2%29x%2B2 is in the form y=mx%2Bb where m=-1%2F2 is the slope and b=2 is the y intercept.