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Rewrite the equation so that none of the values have a denominator and then solve the equation.

1/3x - 5 = 5/2x - 2/3

One strategy for solving the equation above is to

a. determine the least common denominator (LCD) of all fractions in the equation,

b. then multiply the entire quantity on BOTH sides of the equation by that (LCD),

C. then isolate the variable to determine the value of x that makes the original equation a true statement.

Rewrite the equation so that none of the values have a denominator and then solve the equation 13x 5 52x 23 One strategy for solving the equation above is to a class=

Respuesta :

calculista

Answer:

The answer in the explanation

Step-by-step explanation:

we have

[tex]\frac{1}{3}x-5=\frac{5}{2}x-\frac{2}{3}[/tex]

Step 1

Determine the least common denominator (LCD) of all fractions in the equation

The LCD is equal to

[tex](3)(2)=6[/tex]

Step 2

Multiply both sides of the equation by 6 to remove the fractions

[tex]6[\frac{1}{3}x-5]=6[\frac{5}{2}x-\frac{2}{3}][/tex]

[tex]2x-30=15x-4[/tex]

Step 3

Solve for x

Group terms

[tex]15x-2x=-30+4[/tex]

Combine like terms

[tex]13x=-26[/tex]

[tex]x=-2[/tex]

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