Question

1/3(2x+3)-3/4(4x-1)=2 и 0,3Х-0,2=0,6Х+0,3

Answer 1

$\frac{1}{3} (2x+3)- \frac{3}{4}(4x-1)=2 \\ \frac{2}{3} x+1-3x+ \frac{3}{4} =2 \\ -2 \frac{1}{3} x+1 \frac{3}{4}=2 \\ -2 \frac{1}{3} x=2-1 \frac{3}{4} \\ -2 \frac{1}{3} x= \frac{1}{4} \\ x= \frac{1}{4} :(-2 \frac{1}{3} ) \\ x= \frac{1}{4} *(- \frac{3}{7} ) \\ x=- \frac{3}{28} \\ \\ 0,3x-0,2=0,6x+0,3 \\ 0,3x-0,6x=0,3+0,2 \\ -0,3x=0,5 \\ x=0,5:(-0,3) \\ x=-1 \frac{2}{3}$

Answer 2

To solve the equations, let's start with the first one:

1/3(2x+3) - 3/4(4x-1) = 2

To simplify the equation, let's remove the fractions by multiplying every term by the least common denominator, which is 12:

12 * [1/3(2x+3)] - 12 * [3/4(4x-1)] = 12 * 2

4(2x + 3) - 3(4x - 1) = 24

8x + 12 - 12x + 3 = 24

Combine like terms:

-4x + 15 = 24

Subtract 15 from both sides:

-4x = 9

Divide by -4:

x = -9/4

So the solution to the first equation is x = -9/4.

Now let's move on to the second equation:

0.3x - 0.2 = 0.6x + 0.3

To isolate the variable x, we'll move all the terms containing x to one side and the constants to the other side:

0.3x - 0.6x = 0.3 + 0.2

-0.3x = 0.5

Divide by -0.3:

x = 0.5 / -0.3

Simplifying further, we get:

x = -5/3

So the solution to the second equation is x = -5/3.

To summarize: The solution to the first equation is x = -9/4. The solution to the second equation is x = -5/3.