Question

Which statement describes the solutions of the equation? 4x/3x+1 = x/2x+10

Answer 1

Answer:

C. The equation has two valid solutions and no extraneous solutions.

Explanation:

In photo below

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Answer 2

Answer:

The equation has one valid solution and no extraneous of solutions.

Step-by-step explanation:

Given the expression;

4x/3x+1 = x/2x+10

We are to get the nature of the value of x

Cross multiply;

x(3x+1) = 4x(2x+10)

3x²+x = 8x²+40x

Collect like terms;

3x²-8x² + x - 40x = 0

-5x²+x -40x = 0

-5x²-39x = 0

-5x² = 39x

-5x = 39

x = -39/5

Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.