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Find the solution for the rational equation 3/(x+1)=2/(x-3)
Answer:
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Sagot :

Answer:

the solution for that equation is X=11

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Answer:

x=11

Step-by-step explanation:

Variable x cannot be equal to any of the values -1,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x+1\right), the least common multiple of x+1,x-3.

\left(x-3\right)\times 3=\left(x+1\right)\times 2

Use the distributive property to multiply x-3 by 3.

3x-9=\left(x+1\right)\times 2

Use the distributive property to multiply x+1 by 2.

3x-9=2x+2

Subtract 2x from both sides.

3x-9-2x=2

Combine 3x and -2x to get x.

x-9=2

Add 9 to both sides.

x=2+9

Add 2 and 9 to get 11.

x=11