SOLUTION: Solve for y. x + 3y = 12

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Question 92952: Solve for y. x + 3y = 12
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%2B3y=12 Start with the given equation


1x%2B3y-1x=12-1x Subtract 1x from both sides


3y=-1x%2B12 Simplify


%283y%29%2F%283%29=%28-1x%2B12%29%2F%283%29 Divide both sides by 3 to isolate y


y+=+%28-1x%29%2F%283%29%2B%2812%29%2F%283%29 Break up the fraction on the right hand side


y+=+%28-1%2F3%29x%2B4 Reduce and simplify


The original equation 1x%2B3y=12 (standard form) is equivalent to y+=+%28-1%2F3%29x%2B4 (slope-intercept form)


The equation y+=+%28-1%2F3%29x%2B4 is in the form y=mx%2Bb where m=-1%2F3 is the slope and b=4 is the y intercept.