Question

-2/3z+7=4 1/6 решение уравнения​

Answer 1

Ответ:

-2/3z=4 1/6-7

-2/3z=4 1/6-6 6/6

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

z=-17/6*(-3/2)

z=17/4

z=4 1/4

Пошаговое объяснение:

Answer 2

Ответ:

Пошаговое объяснение:

-2/3z=4 1/6-7

-2/3z=-2 5/6

Z=-2 5/6:(-2/3)

Z=-17/6*(-3/2)

Z=17/4=4 1/4

Answer 3

To solve the equation:

-2/3z + 7 = 4 1/6

First, let's convert the mixed number 4 1/6 to an improper fraction:

4 1/6 = (4 * 6 + 1) / 6 = 25/6

Now, we can rewrite the equation:

-2/3z + 7 = 25/6

To isolate z, we'll start by subtracting 7 from both sides of the equation:

-2/3z + 7 - 7 = 25/6 - 7

Simplifying:

-2/3z = 25/6 - 42/6

Combining the fractions:

-2/3z = (25 - 42)/6

-2/3z = -17/6

To get rid of the fraction, we'll multiply both sides of the equation by the reciprocal of -2/3, which is -3/2:

(-3/2) * (-2/3z) = (-3/2) * (-17/6)

Simplifying:

z = (3 * 17) / (2 * 6)

z = 51/12

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:

z = (51/3) / (12/3)

z = 17/4

Therefore, the solution to the equation -2/3z + 7 = 4 1/6 is z = 17/4.