Question

2/3z-5/9=1/3+2z решение

Answer 1

Ответ:

Пошаговое объяснение:

2/3z-2z=1/3+5/9

-1 1/3z=3/9+5/9

-4/3z=8/9

Z=8/9:(-4/3)=8/9*(-3/4)

Z=-2/3

Answer 2

2/3z-5/9=1/3+2z |×9
9×2/3z-9×5/9=9×1/3+9×2z
3×2z-5=3×1+18z
6z-5=3+18z
-5-3=18z-6z
12z=-8|÷(12)
z=- 8/12 = - 2/3

Answer 3

To solve the equation, we need to isolate the variable "z" on one side of the equation. Follow these steps:

Step 1: Get rid of the fractions by finding a common denominator. Step 2: Combine like terms. Step 3: Isolate the variable "z."

Let's solve the equation step-by-step:

Step 1: Finding a common denominator for the fractions on the left side. The common denominator for 3 and 9 is 9. So, we need to rewrite the equation as follows:

(2/3)z - (5/9) = (1/3) + 2z

Rewritten with the common denominator:

(2/3)z - (5/9) = (3/9) + (6/9)z

Step 2: Combine like terms. Now, we can combine the "z" terms and the constant terms:

(2/3 - 6/9)z - 5/9 = 3/9

Simplify the coefficients of "z":

(2/3 - 2/3)z - 5/9 = 3/9

0z - 5/9 = 3/9

Step 3: Isolate the variable "z." We want to get rid of the constant term on the left side, so we'll add 5/9 to both sides:

0z - 5/9 + 5/9 = 3/9 + 5/9

0z = 8/9

Since the coefficient of "z" is 0, we get:

0 = 8/9

However, there is no solution for this equation since 0 cannot be equal to a non-zero fraction like 8/9. This means that the original equation has no solution. The value of "z" that satisfies the equation does not exist.