Question

1,2 (x-5)=0,2x+6; 1,3 (t-0,6)=1,8t; 5/7 (x+3)= - 2 (1-x); 6 (4x-7)-3 (5-8x)=0.

Answer 1

Ответ:

1,2(x-5)=0,2x+6

1,2x-6=0,2x+6

1,2x-0,2x=6+6

x=12

1,3(t-0,6)=1,8t

1,3t-4,8=1,8t

1,3t-1,8t=4,8

-0,5t=4,8

t=4,8:(-0,5)

t=-9,6

Answer 2

Let's solve each of the given equations step by step:

1. 1,2(x - 5) = 0,2x + 6

First, let's simplify the equation by distributing the 1.2 on the left side: 1.2x - 6 = 0.2x + 6

Next, let's gather the x terms on one side and the constant terms on the other side: 1.2x - 0.2x = 6 + 6 1x = 12 x = 12

Therefore, the solution for this equation is x = 12.

2. 1,3(t - 0,6) = 1,8t

Similarly, let's simplify the equation: 1.3t - 0.78 = 1.8t

Next, let's move the t terms to one side and the constant terms to the other side: 1.3t - 1.8t = 0.78 -0.5t = 0.78

Now, let's solve for t by dividing both sides of the equation by -0.5: t = 0.78 / -0.5 t = -1.56

So, the solution for this equation is t = -1.56.

3. (5/7)(x + 3) = -2(1 - x)

First, let's distribute the (5/7) on the left side and -2 on the right side: (5/7)x + (5/7)3 = -2 + 2x

Next, simplify the equation: (5/7)x + 15/7 = 2x - 2

Now, let's gather the x terms on one side and the constant terms on the other side: (5/7)x - 2x = -2 - 15/7 (-9/7)x = -14/7 - 15/7 (-9/7)x = -29/7

To solve for x, we divide both sides by -9/7: x = (-29/7) / (-9/7) x = 29/9

Therefore, the solution for this equation is x = 29/9.

4. 6(4x - 7) - 3(5 - 8x) = 0

Let's simplify the equation by distributing the coefficients: 24x - 42 - 15 + 24x = 0

Combine like terms: 48x - 57 = 0

Now, let's isolate the x term by moving the constant term to the other side: 48x = 57

Finally, solve for x by dividing both sides by 48: x = 57 / 48 x = 19 / 16

So, the solution for this equation is x = 19/16.

To summarize:

1. x = 12
2. t = -1.56
3. x = 29/9
4. x = 19/16