Question

1) 6 - 3(х + 1) = 7 - 2x; 2) (8х + 3) - (10х+6) = 9;3) 3,5 - х = 8(х + 2,8);4) 0,3(6 - 2y) = 4,5 - 0,7(у + 9); ​

Answer 1

Ответ:

1) -4, 2) -6, 3) -2,1, 4)-36

Answer 2

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Answer 3

Let's solve each equation step by step:

1. 6 - 3(x + 1) = 7 - 2x

First, distribute the -3 to the terms inside the parentheses:

6 - 3x - 3 = 7 - 2x

Combine like terms:

3 - 3x = 7 - 2x

Now, let's isolate the x term by moving the -2x term to the left side:

-3x + 2x = 7 - 3

Simplify:

-x = 4

Multiply both sides by -1 to get x alone:

x = -4

So, the solution to this equation is x = -4.

2. (8x + 3) - (10x + 6) = 9

First, simplify the expression inside the parentheses:

8x + 3 - 10x - 6 = 9

Combine like terms:

8x - 10x + 3 - 6 = 9

Simplify:

-2x - 3 = 9

Now, isolate the x term by moving the -3 to the right side:

-2x = 9 + 3

Simplify:

-2x = 12

Divide both sides by -2 to solve for x:

x = -6

So, the solution to this equation is x = -6.

3. 3.5 - x = 8(x + 2.8)

First, distribute the 8 to the terms inside the parentheses:

3.5 - x = 8x + 22.4

Move the x term to the left side and the constant terms to the right side:

-x - 8x = 22.4 - 3.5

Combine like terms:

-9x = 18.9

Divide both sides by -9 to solve for x:

x = -2.1

So, the solution to this equation is x = -2.1.

4. 0.3(6 - 2y) = 4.5 - 0.7(u + 9)

First, simplify the expressions inside the parentheses:

0.3 * 6 - 0.3 * 2y = 4.5 - 0.7u - 0.7 * 9

Simplify:

1.8 - 0.6y = 4.5 - 0.7u - 6.3

Combine like terms:

-0.6y = -0.7u - 1.8

Now, let's rearrange the equation to isolate the y term:

0.6y = 0.7u + 1.8

Divide both sides by 0.6:

y = (0.7/0.6)u + (1.8/0.6)

Simplify the right side:

y = (7/6)u + 3

So, the solution to this equation is y = (7/6)u + 3.