Question

1) 2x/3-4x/5=x/15+1 2) 3x/8-x/6=x/12-1

Answer 1

Ответ:

Пошаговое объяснение:

1) 10х-12х=х+15

10х-12х-х=15

-3х=15

х=15:(-3)

Х=-5

9х-4х=2х-24

9х-4х-2х=-24

3х=-24

Х=-24:3

Х=-8

Answer 2

Ответ:1) x=-5, 2) x=-8

Пошаговое объяснение:

Answer 3

To solve the equations, we'll first simplify each equation step-by-step and then find the value of 'x'.

1. 2x/3 - 4x/5 = x/15 + 1

Step 1: Find a common denominator for the fractions. The common denominator for 3, 5, and 15 is 15.

Step 2: Convert all fractions to have a denominator of 15. (10x - 12x) / 15 = x/15 + 1

Step 3: Combine like terms. -2x / 15 = x/15 + 1

Step 4: Isolate 'x' on one side of the equation. To do that, let's get rid of the fractions by multiplying the entire equation by 15 (the common denominator).

-2x = x + 15

Step 5: Bring all the 'x' terms to one side and the constant terms to the other side.

-2x - x = 15 -3x = 15

Step 6: Solve for 'x'. Divide both sides by -3:

x = 15 / -3

x = -5

So, the solution for the first equation is x = -5.

2. 3x/8 - x/6 = x/12 - 1

Step 1: Find a common denominator for the fractions. The common denominator for 8, 6, and 12 is 24.

Step 2: Convert all fractions to have a denominator of 24. (9x - 4x) / 24 = 2x / 24 - 1

Step 3: Combine like terms. 5x / 24 = 2x / 24 - 1

Step 4: Isolate 'x' on one side of the equation. To do that, let's get rid of the fractions by multiplying the entire equation by 24 (the common denominator).

5x = 2x - 24

Step 5: Bring all the 'x' terms to one side and the constant terms to the other side.

5x - 2x = -24 3x = -24

Step 6: Solve for 'x'. Divide both sides by 3:

x = -24 / 3

x = -8

So, the solution for the second equation is x = -8.