SOLUTION: Solve the equation and check the solution. (Enter your answers as a comma-separated list. Simplify your answers completely. If there is no solution, enter NO SOLUTION.) Solve for y
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Question 1130249: Solve the equation and check the solution. (Enter your answers as a comma-separated list. Simplify your answers completely. If there is no solution, enter NO SOLUTION.) Solve for y.
y + 2/3 = (2y-12)/(3y-9)
Identify any extraneous values. (Enter your answers as a comma-separated list. Simplify your answers completely. If there are no extraneous values, enter NO SOLUTION.)
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Try seeing the equation with some factorizations done:
The simplest common denominator can be identified as .
Multiply entire left and right sides of the equation by 3(y-3), which allows to clear denominators; and continue to simplify and solve.
See similar exercises already responded to .
https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1130241.html
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https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1130238.html
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https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1130234.html
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
............cross multiply
......simplify, both sides divide by
..............factor completely
solutions:
if ->
if ->
check the solution:
->
-> true; so, is a solution
->
-> true; so, is a solution
there are extraneous values
your answer: ,
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