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Which of the following algebraic steps will solve the equation -6t = 2/3

1 Answer

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Answer:

t= 0.1 or t= 1/9

Explanation:

divide each term in 6t = 2/3 by 6,

6t/6 = 2/3/6

simplify the left side

cancel out the common factor of 6.

6t/6 = t while were left with 2/3 /6

divide t by 1.

t = 2/3 / 6.

simplify the left side

multiply the numerator by the reciprocal of the denominator.

t = 2/3 x 1/6

cancel the common factor of 2.

Factor 2 out of 6.

t = 2/3 x 1/2(3)

Cancel the common factor which is 2,

and then rewrite the expression.

t = 1/3 x 1/3

Multiply the expression like this:

t = 1 / 3 x 3

multiply 3 by 3 to get...

t=1/9

decimal form: 0.1

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