Question

(x - 1/10) + 4/15=7/9​

Answer 1

Ответ:

x-1/10+4/15=7/9

x-3/30+8/30=7/9

x-11/30=7/9

x=7/9-11/30

x=70/90-33/90

x=37/90

Answer 2

To solve the equation $(x - 1/10) + 4/15 = 7/9$, you can follow these steps:

Step 1: First, combine like terms on the left side of the equation. To do this, find a common denominator for $1/10$ and $4/15$, which is $30$. Rewrite each fraction with a denominator of $30$:

$\frac{3}{30}(x - 1) + \frac{2}{30} = \frac{10}{30}$

Step 2: Now, you can add the fractions on the left side:

$\frac{3}{30}(x - 1) + \frac{2}{30} = \frac{10}{30}$

Step 3: Next, simplify further:

$\frac{3}{30}(x - 1) + \frac{2}{30} = \frac{10}{30}$

Step 4: Multiply both sides of the equation by the common denominator, which is $30$, to eliminate the fractions:

$30 \cdot \left(\frac{3}{30}(x - 1) + \frac{2}{30}\right) = 30 \cdot \frac{10}{30}$

Simplify:

$3(x - 1) + 2 = 10$

Step 5: Distribute the $3$ on the left side:

$3x - 3 + 2 = 10$

Step 6: Combine like terms on the left side:

$3x - 1 = 10$

Step 7: Now, isolate $x$ by adding $1$ to both sides of the equation:

$3x - 1 + 1 = 10 + 1$

$3x = 11$

Step 8: Finally, divide both sides by $3$ to solve for $x$:

$\frac{3x}{3} = \frac{11}{3}$

$x = \frac{11}{3}$

So, the solution to the equation is $x = \frac{11}{3}$.