Question

2/5*z+2\3*z-7\15 решить уравнение

Answer 1

Ответ : 1/15•(16z-7)

Answer 2

To solve the equation 2/5z + 2/3z - 7/15 = 0, we need to find the value of 'z' that satisfies the equation. To do this, we'll first find a common denominator for the fractions and then combine the 'z' terms.

The common denominator for 5, 3, and 15 is 15. So, we'll rewrite the equation with all fractions having a denominator of 15:

(2/5) * z + (2/3) * z - (7/15) = 0

To combine the 'z' terms, we'll find a common factor of 'z' and factor it out:

z * (2/5 + 2/3) - 7/15 = 0

Now, we'll find a common denominator for 5 and 3, which is 15, to add the fractions:

z * ((23)/(53) + (25)/(35)) - 7/15 = 0

z * (6/15 + 10/15) - 7/15 = 0

z * (16/15) - 7/15 = 0

Now, let's get rid of the denominator by multiplying the entire equation by 15:

15 * (z * (16/15) - 7/15) = 15 * 0

This simplifies to:

z * 16 - 7 = 0

Next, we'll isolate 'z' by moving the constant term (-7) to the other side of the equation:

z * 16 = 7

Finally, divide both sides by 16 to solve for 'z':

z = 7/16

So, the solution to the equation is:

z = 7/16