Question

3) 3 1/2 - x = 7 1/5 4) 40 5/9 - x = 63 4/5

Answer 1

3) 3 1/2 - х = 7 1/5

  х = 7 1/5 + 3  1/2

  х = 10 7/10

Ответ : 10 7/10

4) 40 5/9 - х = 63 4/5

  х = 40 5/9 + 63 4/5

  х = 104 16/45

Ответ : 104 16/45

Воть)

Answer 2

To solve these equations for the variable $x$, you need to isolate $x$ on one side of the equation. Let's solve each equation step by step:

Equation 3: $3 \frac{1}{2} - x = 7 \frac{1}{5}$

Step 1: Convert mixed numbers to improper fractions. $3 \frac{1}{2} = \frac{7}{2}$ and $7 \frac{1}{5} = \frac{36}{5}$

Step 2: Subtract $\frac{7}{2}$ from both sides of the equation. $3 \frac{1}{2} - x - \frac{7}{2} = 7 \frac{1}{5} - \frac{7}{2}$ $-x = \frac{36}{5} - \frac{7}{2}$

Step 3: Find a common denominator for $\frac{36}{5}$ and $\frac{7}{2}$. The common denominator is 10. $-x = \frac{72}{10} - \frac{35}{10}$ $-x = \frac{37}{10}$

Step 4: Multiply both sides of the equation by -1 to solve for $x$. $x = -\frac{37}{10}$

Equation 4: $40 \frac{5}{9} - x = 63 \frac{4}{5}$

Step 1: Convert mixed numbers to improper fractions. $40 \frac{5}{9} = \frac{365}{9}$ and $63 \frac{4}{5} = \frac{324}{5}$

Step 2: Subtract $\frac{365}{9}$ from both sides of the equation. $40 \frac{5}{9} - x - \frac{365}{9} = 63 \frac{4}{5} - \frac{365}{9}$ $-x = \frac{324}{5} - \frac{365}{9}$

Step 3: Find a common denominator for $\frac{324}{5}$ and $\frac{365}{9}$. The common denominator is 45. $-x = \frac{1458}{45} - \frac{1825}{45}$ $-x = \frac{367}{45}$

Step 4: Multiply both sides of the equation by -1 to solve for $x$. $x = -\frac{367}{45}$

So, the solutions for the given equations are: Equation 3: $x = -\frac{37}{10}$ Equation 4: $x = -\frac{367}{45}$