Question

Х-5х+9/4= 0, (х+1)-5(1+х)=14

Answer 1

Ответ:1)Х=9/16 2)Х=-4,5

Пошаговое объяснение:

1) перенесем в правую часть все Х, получим 4Х=9/4

получаем Х=9/16

2)раскроем скобки: Х+1-5-5Х=14

перенесем все Х в правую сторону, а обычные числа в левую:

4Х=-18

Х=-4,5

Answer 2

To solve the equations, let's start with the first one:

1. Solve the equation: $x - 5x + \frac{9}{4} = 0$

Step 1: Combine like terms: $x - 5x = -4x$

Step 2: Move the constant term to the other side of the equation: $-4x + \frac{9}{4} = 0$

Step 3: To eliminate the fraction, multiply the entire equation by 4: $4(-4x) + 4 \cdot \frac{9}{4} = 4 \cdot 0$

$-16x + 9 = 0$

Step 4: Move the constant term to the other side of the equation: $-16x = -9$

Step 5: Solve for x: $x = \frac{-9}{-16} = \frac{9}{16}$

So, the solution for the first equation is $x = \frac{9}{16}$.

Now, let's move on to the second equation:

2. Solve the equation: $(x+1) - 5(1+x) = 14$

Step 1: Distribute the -5 through the parentheses: $x + 1 - 5 - 5x = 14$

Step 2: Combine like terms: $x - 5x + 1 - 5 = 14$

Step 3: Combine constants: $x - 5x - 4 = 14$

Step 4: Combine x terms: $-4x - 4 = 14$

Step 5: Move the constant term to the other side of the equation: $-4x = 14 + 4$

$-4x = 18$

Step 6: Solve for x: $x = \frac{18}{-4} = -\frac{9}{2}$

So, the solution for the second equation is $x = -\frac{9}{2}$.

In summary, the solutions for the given equations are $x = \frac{9}{16}$ and $x = -\frac{9}{2}$.