Question

A)5/4×(x-2)=9x+8/8 -3b)4×(0,7x-4)=3×(-0,2x+6)​

Answer 1

Ответ:

a) 5/4 * (x - 2) = 9x + 8/8 - 3

 5/4 * (x - 2) = 9x + 1 - 3

 5/4 * (x - 2) = 9x - 2

 5/4x - 5/4 = 9x - 2

 5/4x - 9x = 5/4 -

 -7 3/4x = - 3/4

 x = 12/124

x=3/31

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Ответ:

b) 4 × (0,7x-4) = 3 × (-0,2x + 6) ​

2.8x - 16 = -0.6x + 18

3.4x = 34

x = 10

Answer 2

a) 5/4 × (x - 2) = 9x + 8/8 - 3

1) 5/4 × (x - 2) = 9x + 1 - 3

2) 5/4 × (x - 2) = 9x - 2

3) 5/4x - 5/4 = 9x - 2

4) 5/4x - 9x = 5/4 - 2

5) -7 3/4x = - 3/4

6) x = 12/124

b) 4 × (0,7x-4) = 3 × (-0,2x + 6) ​

1) 2.8x - 16 = -0.6x + 18

2) 3.4x = 34

3) x = 10

Answer 3

Let's solve each equation step by step:

A) $\frac{5}{4}(x-2) = \frac{9x + \frac{8}{8}}{8} - 3b$

First, simplify the right-hand side by combining the fractions:

$\frac{5}{4}(x-2) = \frac{9x + 1}{8} - 3b$

Now, let's clear the fractions by multiplying both sides of the equation by 8 (the common denominator):

$8 \cdot \frac{5}{4}(x-2) = 8 \cdot \left(\frac{9x + 1}{8} - 3b\right)$

Now, simplify:

$10(x-2) = 9x + 1 - 24b$

Distribute 10 on the left side:

$10x - 20 = 9x + 1 - 24b$

Next, let's isolate the variables. Move 9x to the left side by subtracting 9x from both sides:

$10x - 9x - 20 = 1 - 24b$

Simplify:

$x - 20 = 1 - 24b$

Now, add 20 to both sides to isolate x:

$x = 1 - 24b + 20$

Combine constants:

$x = 21 - 24b$

B) $4(0.7x-4) = 3(-0.2x+6)$

First, distribute the numbers on both sides of the equation:

$2.8x - 16 = -0.6x + 18$

Now, let's isolate x. Add 0.6x to both sides:

$2.8x + 0.6x - 16 = 18$

Combine the x terms:

$3.4x - 16 = 18$

Now, add 16 to both sides:

$3.4x = 18 + 16$

$3.4x = 34$

Finally, divide both sides by 3.4 to solve for x:

$x = \frac{34}{3.4}$

Simplify:

$x = 10$

So, the solutions to the equations are:

A) $x = 21 - 24b$

B) $x = 10$