Question

A) (x+2,3) *0,2 =0,7 б)(2,8-x):0,3=5 в) 4,2x+8,4=14,7 г) 0,39: x-0,1=0,16

Answer 1

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Answer 2

Let's solve the given equations step by step:

a) (x + 2) * 0.2 = 0.7

To solve for x, we can begin by isolating the variable. Divide both sides of the equation by 0.2:

(x + 2) * 0.2 / 0.2 = 0.7 / 0.2

Simplifying, we have:

x + 2 = 3.5

Now, subtract 2 from both sides:

x + 2 - 2 = 3.5 - 2

This gives us:

x = 1.5

Therefore, the solution for a) is x = 1.5.

b) (2.8 - x) / 0.3 = 5

To solve for x, we can start by multiplying both sides of the equation by 0.3:

(2.8 - x) / 0.3 * 0.3 = 5 * 0.3

Simplifying, we get:

2.8 - x = 1.5

Now, subtract 2.8 from both sides:

2.8 - x - 2.8 = 1.5 - 2.8

This gives us:

-x = -1.3

To isolate x, multiply both sides of the equation by -1:

-x * -1 = -1.3 * -1

This yields:

x = 1.3

Therefore, the solution for b) is x = 1.3.

c) 4.2x + 8.4 = 14.7

To solve for x, begin by subtracting 8.4 from both sides:

4.2x + 8.4 - 8.4 = 14.7 - 8.4

Simplifying, we have:

4.2x = 6.3

Now, divide both sides of the equation by 4.2:

4.2x / 4.2 = 6.3 / 4.2

This gives us:

x = 1.5

Therefore, the solution for c) is x = 1.5.

d) 0.39 / x - 0.1 = 0.16

To solve for x, we can start by adding 0.1 to both sides:

0.39 / x - 0.1 + 0.1 = 0.16 + 0.1

Simplifying, we get:

0.39 / x = 0.26

Now, multiply both sides of the equation by x:

(0.39 / x) * x = 0.26 * x

This yields:

0.39 = 0.26x

To isolate x, divide both sides of the equation by 0.26:

0.39 / 0.26 = 0.26x / 0.26

Simplifying, we have:

1.5 = x

Therefore, the solution for d) is x = 1.5.

To summarize the solutions:

a) x = 1.5 b) x = 1.3 c) x = 1.5 d) x = 1.5