Question

РЕШИТЕ УРАВНЕНИЕ РАЦИОНАЛЬНЫМ СПОСОБОМ: 1)5+3х-8/2+6-х/3=-4 2)4х+12/3 + 25-8х/5 = 1 3) 3х-5/5 + 18+х/6 = 25 4)5х-8/5 + 4х+25/4 = 1/4 Дам 15б РЕШИТЕ ПЖ ПРАВИЛЬНО

Answer 1

1) 5+3х-8/2+6-x/3=-4 | *6
30+18x-24+36-6x-2=-24
18x-6x=-24-30+24-36
12x=-66
x=-66 : 12 = -5,5
х= -5,5

Answer 2

Solving Rational Equations

To solve the given rational equations, we'll follow the standard procedure for solving rational equations. Let's solve each equation step by step.

Equation 1: 5 + 3x - 8/2 + 6 - x/3 = -4

To solve this equation, we'll follow these steps: 1. Combine like terms. 2. Simplify the equation. 3. Solve for the variable.

Step 1: Combine like terms The given equation can be rewritten as: 5 + 3x - 4 + 6 - x/3 = -4

Step 2: Simplify the equation Combine the constants: 7 + 3x - x/3 = -4

Step 3: Solve for the variable Solving for x, we get: 7 + 3x - x/3 = -4 10 + 9x - x = -12 10 + 8x = -12 8x = -22 x = -22/8 x = -11/4

Equation 1 Solution: x = -11/4

Equation 2: 4x + 12/3 + 25 - 8x/5 = 1

To solve this equation, we'll follow similar steps as above.

Step 1: Combine like terms The given equation can be rewritten as: 4x + 4 + 25 - 8x/5 = 1

Step 2: Simplify the equation Combine the constants: 29 + 4x - 8x/5 = 1

Step 3: Solve for the variable Solving for x, we get: 29 + 4x - 8x/5 = 1 28 + 20x - 8x = 5 28 + 12x = 5 12x = 5 - 28 12x = -23 x = -23/12

Equation 2 Solution: x = -23/12

Equation 3: 3x - 5/5 + 18 + x/6 = 25

Following the same steps as above:

Step 1: Combine like terms The given equation can be rewritten as: 3x - 1 + 18 + x/6 = 25

Step 2: Simplify the equation Combine the constants: 3x + 17 + x/6 = 25

Step 3: Solve for the variable Solving for x, we get: 3x + 17 + x/6 = 25 18x + 102 + x = 150 18x + x = 150 - 102 19x = 48 x = 48/19

Equation 3 Solution: x = 48/19

Equation 4: 5x - 8/5 + 4x + 25/4 = 1/4

Following the same steps as above:

Step 1: Combine like terms The given equation can be rewritten as: 5x - 1.6 + 4x + 6.25 = 0.25

Step 2: Simplify the equation Combine the constants: 9x + 4.65 = 0.25

Step 3: Solve for the variable Solving for x, we get: 9x + 4.65 = 0.25 9x = 0.25 - 4.65 9x = -4.4 x = -4.4/9

Equation 4 Solution: x = -4.4/9

I hope this helps! Let me know if there's anything else I can assist you with.