Question

1)x/4+x/3=x/6+52)2x/3-4x/5=x/15+13)3x/8-x/6=x/12-1​

Answer 1

Ответ:

1) 12; 2) -5; 3) -8

Пошаговое объяснение:

1)

$\frac{x}{4} +\frac{x}{3} =\frac{x}{6} +5\\\frac{4,5x}{18} +\frac{6x}{18} -\frac{3x}{18} =\frac{90}{18} \\ 4,5x+6x-3x=90\\ 7,5x=90\\ x=12$

2)

$\frac{2x}{3} -\frac{4x}{5} =\frac{x}{15} +1\\ \frac{10x}{15} -\frac{12x}{15} =\frac{x}{15} +\frac{15}{15} \\ 10x-12x-x=15\\ -3x=15\\ x=-5$

3)

$\frac{3x}{8} -\frac{x}{6} =\frac{x}{12}-1\\ \frac{9x}{24} -\frac{4x}{24} =\frac{2x}{24} -\frac{24}{24} \\ 9x-4x-2x=-24 \\ 3x=-24\\ x=-8$

Answer 2

Ответ:

1) = 7x/12 - x/6 = 5

5x/12 = 5

5x = 60

x = 12

2) = -2x/15 = x/15 + 1

-x/15 = 1

x = -1/5

3) = 5x/24 = x/12 - 1

x/8 = -1

x = -1/8

Answer 3

Let's solve each of the equations step by step:

1. x/4 + x/3 = x/6 + 5

To solve this equation, we need to combine the x terms on one side and the constants on the other side:

Step 1: Find a common denominator for the fractions, which is 12 in this case. 12(x/4) + 12(x/3) = 12(x/6) + 12(5)

Step 2: Simplify the equation: 3x + 4x = 2x + 60

Step 3: Combine like terms: 7x = 2x + 60

Step 4: Move the constant term to the other side of the equation: 7x - 2x = 60

Step 5: Solve for x: 5x = 60 x = 60 / 5 x = 12

So the solution to the equation is x = 12.

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

Step 1: Find a common denominator for the fractions, which is 15 in this case. 15(2x/3) - 15(4x/5) = 15(x/15) + 15(1)

Step 2: Simplify the equation: 10x - 12x = x + 15

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

Step 4: Move the constant term to the other side of the equation: -2x - x = 15

Step 5: Solve for x: -3x = 15 x = 15 / -3 x = -5

So the solution to the equation is x = -5.

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

Step 1: Find a common denominator for the fractions, which is 24 in this case. 24(3x/8) - 24(x/6) = 24(x/12) - 24(1)

Step 2: Simplify the equation: 9x - 4x = 2x - 24

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

Step 4: Move the constant term to the other side of the equation: 5x - 2x = -24

Step 5: Solve for x: 3x = -24 x = -24 / 3 x = -8

So the solution to the equation is x = -8.