Solving equations with rational expressions, multiple choice help

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Solving equations with rational expressions, multiple choice help

Solve the equation for x.

x over 3 equals space 1 over 6 plus x over 4

2

6

12

1

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Solve the equation for x.

fraction numerator 2 over denominator x squared minus 4 end fraction equals fraction numerator 1 over denominator 2 x minus 4 end fraction

2, -2

2

-2

No Solution

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Solve the equation for y.

1 space minus space fraction numerator 5 over denominator y plus 7 end fraction equals fraction numerator negative 9 over denominator y plus 7 end fraction

7

-7

-11

No Solution

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Solve the equation for x.

fraction numerator x squared plus 5 over denominator x end fraction minus 1 equals fraction numerator 5 left parenthesis x plus 1 right parenthesis over denominator x end fraction

0,6

6

1, 5

5, 6

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Solve the equation for x.

fraction numerator 1 over denominator x plus 4 end fraction equals fraction numerator 2 over denominator x squared plus 3 x minus 4 end fraction minus space fraction numerator 1 over denominator 1 minus x end fraction

minus 1 half

-1

6

No Solution

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Solve the equation for x.

fraction numerator 1 over denominator x minus 2 end fraction equals fraction numerator 2 x plus 1 over denominator x squared plus 2 x minus 8 end fraction plus fraction numerator 2 over denominator x plus 4 end fraction

7 over 3

minus 7 over 3

11 over 3

minus 11 over 3

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Solve the equation for x.

fraction numerator x squared minus 23 over denominator 2 x squared minus 5 x minus 3 end fraction plus fraction numerator 2 over denominator x minus 3 end fraction equals fraction numerator negative 1 over denominator 2 x plus 1 end fraction

-8

8, -3

-7, 3

-8, 3