Question

2\5-3\5z=2\5-1\10z+3

Answer 1

Ответ: -6

Пошаговое объяснение:

-3/5z=1/10z+3

Умножить обе части равенства на 10

-6z=-z+30

-6z+z=30

-5z=30

z=30:(-5)

z=-6

Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

To solve the equation, we need to find the value of 'z' that satisfies the equation:

$\frac{2}{5} - \frac{3}{5}z = \frac{2}{5} - \frac{1}{10}z + 3$

Let's solve it step by step:

Step 1: Combine like terms on the right side of the equation: $\frac{2}{5} - \frac{3}{5}z = \frac{2}{5} - \frac{1}{10}z + \frac{30}{10}$

Step 2: Now, get rid of fractions by multiplying the entire equation by the least common denominator (LCD), which is 10: $10 \times \left(\frac{2}{5} - \frac{3}{5}z\right) = 10 \times \left(\frac{2}{5} - \frac{1}{10}z + \frac{30}{10}\right)$

Step 3: Simplify: $2 \times 2 - 2 \times 3z = 2 \times 2 - 1 \times z + 30$

Step 4: Continue simplifying: $4 - 6z = 4 - z + 30$

Step 5: Move all the terms with 'z' to one side of the equation and the constant terms to the other side: $-6z + z = 34$

Step 6: Combine 'z' terms on the left side of the equation: $-5z = 34$

Step 7: Finally, solve for 'z' by dividing both sides by -5: $z = \frac{34}{-5}$

Step 8: Simplify the result: $z = -\frac{34}{5}$

So, the value of 'z' that satisfies the equation is $z = -\frac{34}{5}$ or $z = -6.8$ (approximated to two decimal places).