Question

1. 6(x + 7) = 5(x – 3) + 68 = 2. 14−35/5 = 23−9/−15 = 3. 2/3 – 1/2 + 2 = 1/4 − 3 =

Answer 1

Ответ:

Всё на фотографиях. Желаю вам удачи.

Answer 2

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

1. $6(x + 7) = 5(x - 3) + 68$

   First, distribute the constants on both sides of the equation:

   $6x + 42 = 5x - 15 + 68$

   Now, combine like terms:

   $6x - 5x + 42 = -15 + 68$

   $x + 42 = 53$

   Next, subtract 42 from both sides to isolate x:

   $x + 42 - 42 = 53 - 42$

   $x = 11$

   So, $x = 11$ is the solution to this equation.

2. $14 - \frac{35}{5} = 23 - \frac{9}{-15}$

   First, simplify both sides:

   $14 - 7 = 23 + \frac{3}{5}$

   Now, subtract 7 from 14:

   $7 = 23 + \frac{3}{5}$

   Next, subtract 23 from both sides:

   $7 - 23 = \frac{3}{5}$

   Now, subtract 23 from 7:

   $-16 = \frac{3}{5}$

   This equation has no solution because -16 is not equal to $\frac{3}{5}$.

3. $\frac{2}{3} - \frac{1}{2} + 2 = \frac{1}{4} - 3$

   First, perform the operations within each side of the equation:

   $\frac{2}{3} - \frac{1}{2} + 2 = \frac{1}{4} - 3$

   Now, find a common denominator for the fractions:

   $\frac{4}{6} - \frac{3}{6} + 2 = \frac{1}{4} - 3$

   Now, add and subtract the fractions:

   $\frac{4 - 3}{6} + 2 = \frac{1}{4} - 3$

   Simplify further:

   $\frac{1}{6} + 2 = \frac{1}{4} - 3$

   Now, add 2 to both sides:

   $\frac{1}{6} + 2 = -\frac{11}{4}$

   Combine the fractions:

   $\frac{13}{6} = -\frac{11}{4}$

   To add or subtract fractions, you need a common denominator. In this case, you can use $12$ as the common denominator:

   $\frac{13}{6} = -\frac{33}{12}$

   Now, the fractions have the same denominator, so you can equate the numerators:

   $13 = -33$

   This equation has no solution because $13$ is not equal to $-33$.

So, in summary:

1. $x = 11$
2. No solution
3. No solution