Question

Which of the following represents the solution of Three-halves = StartFraction 3 Over 2 x EndFraction minus StartFraction 6 Over 5 x EndFraction? x = one-fifth x = five-ninths all real numbers no solution

Answer 1

Answer:

x = one-fifth

Step-by-step explanation:

3(½) = 3/(2x) - 6/(5x)

LCM is 10x

3/2 = [3(5) - 6(2)]/(10x)

10x × 3/2 = 3

15x = 3

x = ⅕

Answer 2

The choice which represents the solution to the equation is; x = one-fifth

One-variable equations

The given equation is;

• 3(1/2) = 3/2x + 6/5x

By using the LCM of the denominators of the right hand side of the equation; we have;

• 3/2 = (15 - 12)/10x

By Cross-product, we have;

• 30x = 6

• x = 6/30

x = 1/5

Read more on one variable equation;

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