Question

A) 5,4+1,9a=0,7aБ) - 5(5-7x),=3x+50​

Answer 1

А) 1,9а-0,7a= -5,4

1,2a= -5,4

a= -4,5

Б) -25+35x=3x+50

35x-3x=50+25

32x=75

X= 75/32(дробь)

Answer 2

A) Let's solve the equation 5.4 + 1.9a = 0.7a.

First, let's simplify the equation by combining like terms:

5.4 + 1.9a = 0.7a

To isolate the variable 'a', we need to move the terms with 'a' to one side of the equation. We can achieve this by subtracting 0.7a from both sides:

5.4 + 1.9a - 0.7a = 0.7a - 0.7a

Simplifying further:

5.4 + 1.2a = 0

Now, let's isolate 'a' by subtracting 5.4 from both sides:

5.4 + 1.2a - 5.4 = 0 - 5.4

Simplifying:

1.2a = -5.4

To solve for 'a', we divide both sides by 1.2:

(1.2a)/1.2 = (-5.4)/1.2

This gives us:

a = -4.5

So the solution to the equation 5.4 + 1.9a = 0.7a is a = -4.5.

B) Let's solve the equation -5(5 - 7x) = 3x + 50.

First, distribute the -5 to the terms inside the parentheses:

-5 * 5 + 5 * 7x = 3x + 50

Simplifying further:

-25 + 35x = 3x + 50

Next, let's isolate the terms with 'x' on one side of the equation. We can achieve this by subtracting 3x from both sides:

-25 + 35x - 3x = 3x - 3x + 50

Simplifying:

32x - 25 = 50

Now, let's isolate 'x' by adding 25 to both sides:

32x - 25 + 25 = 50 + 25

Simplifying further:

32x = 75

To solve for 'x', we divide both sides by 32:

(32x)/32 = 75/32

This gives us:

x = 75/32

So the solution to the equation -5(5 - 7x) = 3x + 50 is x = 75/32.