Question

1)3,7-0,8=4,2+1,2х 2)12,1x-7x=12,1x+28,7 3)0,2(3x-4)=1,6(x-2)

Answer 1

Ответ:

Расписан ниже.

Объяснение:

1)3,7-0,8=4,2+1,2х

1,2х = -1,3

х= $-\frac{13}{12}$

х = $-1\frac{1}{12}$

2) 12,1x-7x=12,1x+28,7

-7х=28,7

х= -4,1

3) 0,2(3x-4)=1,6(x-2)

0,6х - 0,8 = 1,6х - 3,2

-х= -2,4

х = 2,4

Answer 2

To solve each of the equations, we'll simplify and isolate the variable on one side of the equation. Let's solve them step-by-step:

1. $3.7 - 0.8 = 4.2 + 1.2 \times 2$

Step 1: Perform the multiplication first.

$4.2 + 1.2 \times 2 = 4.2 + 2.4 = 6.6$

Step 2: Now, perform the subtraction.

$3.7 - 0.8 = 2.9$

So the equation becomes:

$2.9 = 6.6$

Since the left-hand side (LHS) does not equal the right-hand side (RHS), this equation has no solution.

2. $12.1x - 7x = 12.1x + 28.7$

Step 1: Combine the "x" terms on the left side.

$12.1x - 7x = 5.1x$

Step 2: Move the term with "x" to one side and the constant term to the other side.

$5.1x = 12.1x + 28.7$

Step 3: Subtract $12.1x$ from both sides to isolate "x."

$5.1x - 12.1x = 28.7$

Step 4: Combine "x" terms again.

$-7x = 28.7$

Step 5: Finally, solve for "x" by dividing both sides by $-7$.

$x = \frac{28.7}{-7} \approx -4.1$

So, the solution for the equation is $x \approx -4.1$.

3. $0.2(3x - 4) = 1.6(x - 2)$

Step 1: Distribute the constants.

$0.2 \times 3x - 0.2 \times 4 = 1.6 \times x - 1.6 \times 2$

$0.6x - 0.8 = 1.6x - 3.2$

Step 2: Move the "x" term to one side and the constant term to the other side.

$0.6x - 1.6x = -3.2 + 0.8$

Step 3: Combine "x" terms.

$-1x = -2.4$

Step 4: Solve for "x" by dividing both sides by $-1$.

$x = \frac{-2.4}{-1} = 2.4$

So, the solution for the equation is $x = 2.4$.