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Solve the 2 step equation 1/5 (x) -2/3 =4/3

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2 votes

Answer:

Step-by-step explanation:

To solve the two-step equation (1/5)x - 2/3 = 4/3, we can follow these steps:

Step 1: Eliminate the fraction by multiplying every term in the equation by the common denominator of the fractions involved. In this case, the common denominator is 15.

15 * [(1/5)x] - 15 * (2/3) = 15 * (4/3)

3x - 10 = 20

Step 2: Isolate the variable term by moving the constant term to the other side of the equation.

3x - 10 + 10 = 20 + 10

3x = 30

Step 3: Solve for x by dividing both sides of the equation by the coefficient of x, which is 3.

(3x)/3 = 30/3

x = 10

Therefore, the solution to the equation (1/5)x - 2/3 = 4/3 is x = 10.

User KC Wong
by
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2 votes

Solution:

x = 10

Step-by-step explanation:

First, add 2/3 to each side:


\sf{(1)/(5)x-(2)/(3)=(4)/(3)}


\sf{(1)/(5)x=(4)/(3)+(2)/(3)}


\sf{(1)/(5)x=(4+2)/(3)


\sf{(1)/(5)x=(6)/(3)}


\sf{(1)/(5)x=2}

Multiply each side by 5 to clear the fractions.


\sf{1x=2*5}


\sf{x=10}

Hence, x = 10

User Neil Knight
by
7.3k points

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