Question

4 1/3х-2 2/3х=5 3/5х+2/15=10

Answer 1

$1) 4\frac{1}{3} x - 2\frac{2}{3} x = 5$

$\frac{13}{3} x -\frac{8}{3} x = 5$

$\frac{5}{3} x = 5$

$x = 3$

$2) \frac{3}{5} x + \frac{2}{15} =10$ (умножаем обе части на 15)

$15 * \frac{3}{5}x + 15 * \frac{2}{15} = 15 * 10$

$3 * 3x + 2 = 150$

$9x+2=150$

$9x = 150 - 2$

$9x=148$

$x = 16\frac{4}{9}$

Answer 2

It looks like you have an equation involving fractions and variables. Let's solve it step by step:

The equation you provided is: (4 1/3)x - (2 2/3)x = (5 3/5)x + (2/15)

First, let's convert the mixed numbers into improper fractions:

(13/3)x - (8/3)x = (28/5)x + (2/15)

Now, we can simplify the equation by finding a common denominator for the fractions on each side of the equation. The common denominator is 15:

(13/3)x * (5/5) - (8/3)x * (5/5) = (28/5)x * (3/3) + (2/15)

Now, we have:

(65/15)x - (40/15)x = (84/15)x + (2/15)

Next, we can combine like terms on both sides of the equation:

(65/15 - 40/15)x = (84/15)x + (2/15)

Now, subtract (84/15)x from both sides of the equation:

(65/15 - 40/15)x - (84/15)x = (2/15)

Now, simplify the left side:

(25/15)x - (84/15)x = (2/15)

Now, subtract the fractions on the left side:

((25/15) - (84/15))x = (2/15)

Now, continue to simplify:

(-59/15)x = (2/15)

To isolate x, divide both sides of the equation by (-59/15) or multiply by (-15/59):

x = (2/15) * (-15/59)

Now, simplify:

x = -2/59

So, the solution to the equation is x = -2/59.