Question

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

Answer 1

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.

Answer 2

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