Question

4)4х-1 4/5=5.4 5)7 3/5+2х=10,66)10+3 1/4х=23​

Answer 1

Держи ответ...... ......

Answer 2

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

4. $4x - \frac{1}{5} = 5.4$

Step 1: Add $\frac{1}{5}$ to both sides to isolate $4x$ on the left side.

$4x = 5.4 + \frac{1}{5}$

Step 2: Find the common denominator of 5 and 1.

$4x = \frac{27}{5}$

Step 3: Divide both sides by 4 to solve for $x$.

$x = \frac{27}{5} \div 4$

$x = \frac{27}{5} \times \frac{1}{4}$

$x = \frac{27}{20}$

5. $7\frac{3}{5} + 2x = 10.66$

Step 1: Convert the mixed number $7\frac{3}{5}$ to an improper fraction.

$7\frac{3}{5} = \frac{5 \times 7 + 3}{5} = \frac{38}{5}$

Step 2: Subtract $\frac{38}{5}$ from both sides to isolate $2x$ on the left side.

$2x = 10.66 - \frac{38}{5}$

Step 3: Convert the decimal 10.66 to a fraction.

$10.66 = \frac{1066}{100}$

Step 4: Find the common denominator of 100 and 5.

$2x = \frac{1066}{100} - \frac{38}{5}$

Step 5: Convert both fractions to have the same denominator.

$2x = \frac{1066}{100} - \frac{760}{100}$

Step 6: Subtract the fractions.

$2x = \frac{306}{100}$

Step 7: Simplify the fraction.

$2x = \frac{3}{1}$

Step 8: Divide both sides by 2 to solve for $x$.

$x = \frac{3}{2}$

6. $10 + 3\frac{1}{4}x = 23$

Step 1: Convert the mixed number $3\frac{1}{4}$ to an improper fraction.

$3\frac{1}{4} = \frac{4 \times 3 + 1}{4} = \frac{13}{4}$

Step 2: Subtract 10 from both sides to isolate $3\frac{1}{4}x$ on the left side.

$3\frac{1}{4}x = 23 - 10$

$3\frac{1}{4}x = 13$

Step 3: Convert $3\frac{1}{4}$ to an improper fraction.

$3\frac{1}{4} = \frac{13}{4}$

Step 4: Divide both sides by $\frac{13}{4}$ to solve for $x$.

$x = \frac{13}{\frac{13}{4}}$

Now, dividing by a fraction is equivalent to multiplying by its reciprocal:

$x = \frac{13}{1} \times \frac{4}{13}$

$x = 4$