SOLUTION: Write y = 2/3x + 1/4 in standard form with integer coefficients.

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Question 118553This question is from textbook McDougal Littell Algebra 1
: Write y = 2/3x + 1/4 in standard form with integer coefficients. This question is from textbook McDougal Littell Algebra 1

Found 2 solutions by jim_thompson5910, MathLover1:
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 slope-intercept form (y = mx+b) to standard form (Ax+By = C)


y+=+%282%2F3%29x%2B1%2F4 Start with the given equation


12%2Ay+=+12%2A%28%282%2F3%29x%2B1%2F4%29 Multiply both sides by the LCD 12


12y+=+8x%2B3 Distribute and multiply


12y-8x+=+8x%2B3-8x Subtract 8x from both sides


-8x%2B12y+=+3 Simplify


-1%2A%28-8x%2B12y%29+=+-1%2A%283%29 Multiply both sides by -1 to make the A coefficient positive (note: this step may be optional; it will depend on your teacher and/or textbook)


8x-12y+=+-3 Distribute and simplify


The original equation y+=+%282%2F3%29x%2B1%2F4 (slope-intercept form) is equivalent to 8x-12y+=+-3 (standard form where A > 0)


The equation 8x-12y+=+-3 is in the form Ax%2BBy+=+C where A+=+8, B+=+-12 and C+=+-3

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+%282%2F3%29x+%2B+1%2F4+.........multiply both sides by 12
12y+=+12%282%2F3%29x+%2B+12%281%2F4%29+.........
12y+=+8x+%2B+3+.........move both terms from the right to the left
-8x+%2B+12y+-3+=+0+.........standard form with integer coefficients