Question

1/3х + 1/2 = 2/3x + 1/3

Answer 1

Ответ:

1/3х + 1/2 = 2/3x + 1/3

1/3х-2/3х=1/3-1/2

-1/3х=-1/6

Х=1/2 или 0.5

Пошаговое объяснение:

Answer 2

To solve the equation (1/3)x + 1/2 = (2/3)x + 1/3, we need to find the value of x that makes both sides of the equation equal.

Step 1: Eliminate the fractions by finding a common denominator for both sides of the equation. The common denominator for 3 and 2 is 6.

Step 2: Rewrite the equation with the common denominator:

(2/6)x + 3/6 = (4/6)x + 2/6

Step 3: Combine like terms:

(2/6)x - (4/6)x = 2/6 - 3/6

Step 4: Solve for x:

(2/6 - 4/6)x = -1/6

Step 5: Combine the fractions on the left side:

(-2/6)x = -1/6

Step 6: Simplify the equation further:

(-1/3)x = -1/6

Step 7: To isolate x, multiply both sides by -3:

x = (-1/6) * (-3)

Step 8: Calculate the final result:

x = 1/2

So, the solution to the equation is x = 1/2.