Question

1)8,9х+17,54=5,4+2,842)3×(5-х)+13=4×(3х-8)3)3/7-1/4 х=5 3/7-4х

Answer 1

1)8,9х=5,4+2,84-17,54

8,9х=-9,3

х= -1 4/89

2) 15-3х+13=12х-32

-3х-12х=-32-13-15

-15х= - 60

х=4

3) 4х- 1/4х=5 3/7-3/7

3 4/4х- 1/4х= 5

3 3/4х=5

х=4/3=1 1/3

Answer 2

Let's solve each equation step by step:

1. 8.9x + 17.54 = 5.4 + 2.84

First, let's combine the constant terms on the right side:

8.9x + 17.54 = 8.24

Next, let's isolate the term with x by subtracting 17.54 from both sides:

8.9x = 8.24 - 17.54

8.9x = -9.30

Now, divide both sides by 8.9 to find the value of x:

x = -9.30 / 8.9

x ≈ -1.0449 (rounded to four decimal places)

2. 3 × (5 - x) + 13 = 4 × (3x - 8)

Let's simplify the expressions inside the parentheses first:

3 × (5 - x) + 13 = 4 × (3x - 8) 3 × 5 - 3x + 13 = 4 × 3x - 32 15 - 3x + 13 = 12x - 32

Combine like terms:

28 - 3x = 12x - 32

Now, isolate the term with x by moving all the x terms to one side:

28 + 32 = 12x + 3x

60 = 15x

Finally, divide both sides by 15 to find the value of x:

x = 60 / 15

x = 4

3. 3/7 - 1/4x = 5 3/7 - 4x

First, let's deal with the fraction:

To combine the fractions on the left side, find a common denominator, which is 28:

3/7 - (1/4)x = 5 3/7 - 4x

To convert 5 3/7 to an improper fraction:

5 3/7 = 5 + 3/7 = 35/7 + 3/7 = 38/7

Now, the equation becomes:

3/7 - (1/4)x = 38/7 - 4x

Next, let's eliminate the fraction by multiplying the whole equation by 28 (common denominator):

28 * (3/7) - 28 * (1/4)x = 28 * (38/7) - 28 * 4x

After simplification:

12 - 7x = 152 - 112x

Now, isolate the term with x by moving all the x terms to one side:

7x - 112x = 152 - 12

-105x = 140

Finally, divide both sides by -105 to find the value of x:

x = 140 / -105

x ≈ -1.3333 (rounded to four decimal places)

So, the solutions to the equations are:

1. x ≈ -1.0449
2. x = 4
3. x ≈ -1.3333