Question

0,8x+1=1,7x+0,1 2/3x+5=3+7/9x 2(3x-4)=4(x-3)

Answer 1

Ответ:

0,8x+1=1,7x+0,1;  

0,8x - 1,7x = 0,1 - 1;

-0,9x = -0,9;

x=1

2/3x+5=3+7/9x;  

2/3x - 7/9x = 3 - 5;

-1/9x = -2;

x = 18;

2(3x-4)=4(x-3);

6x - 8 = 4x - 12;

6x - 4x = -12 + 8;

2x = -4

x = -2

Пошаговое объяснение:

Answer 2

Let's solve each equation step by step:

1. 0.8x + 1 = 1.7x + 0.1

To solve this equation, we can start by isolating the variables on one side of the equation:

0.8x - 1.7x = 0.1 - 1

Combine like terms:

-0.9x = -0.9

Now, divide both sides of the equation by -0.9 to solve for x:

x = -0.9 / -0.9

x = 1

Therefore, the solution to the equation is x = 1.

2. (2/3)x + 5 = 3 + (7/9)x

To solve this equation, we need to eliminate the fractions. We can do this by multiplying every term by the least common multiple (LCM) of the denominators, which is 9:

9 * [(2/3)x + 5] = 9 * [3 + (7/9)x]

Simplifying both sides:

6x + 45 = 27 + 7x

Now, let's isolate the x term on one side by moving the 7x term to the left side and the constant terms to the right side:

6x - 7x = 27 - 45

Combine like terms:

-x = -18

Dividing both sides of the equation by -1:

x = 18

Therefore, the solution to the equation is x = 18.

3. 2(3x - 4) = 4(x - 3)

Expand the parentheses on both sides of the equation:

6x - 8 = 4x - 12

Move the constant terms to the right side and the variable terms to the left side:

6x - 4x = -12 + 8

Combine like terms:

2x = -4

Divide both sides of the equation by 2:

x = -4 / 2

x = -2

Therefore, the solution to the equation is x = -2.