Question

ПОМОГИТЕ ПРОШУ! СДЕЛАЮ ЛУЧШИМ ОТВЕТОМ!!! Решите уравнение относительно х:4а - 3х = с - 6хПри каком значении х выражения 3х + 5 и 2х - 6 имеют противоположные значения?

Answer 1

1). -3x+6x=c-4a; 3x=c-4a; x=1/3c-4/3a. 2). 3x+5= -(2x-6); 3x+5=6-2x; 3x+2x=6-5; 5x=1; x=1/5=0,2.

Answer 2

Solving the Equation:

To solve the equation 4a - 3x = c - 6x for x, we need to isolate the variable x on one side of the equation. Here are the steps to solve it:

1. Start with the given equation: 4a - 3x = c - 6x. 2. Combine like terms by adding 6x to both sides of the equation: 4a - 3x + 6x = c - 6x + 6x. Simplifying, we get: 4a + 3x = c. 3. To isolate x, subtract 4a from both sides of the equation: 4a + 3x - 4a = c - 4a. Simplifying, we get: 3x = c - 4a. 4. Finally, divide both sides of the equation by 3 to solve for x: (3x)/3 = (c - 4a)/3. Simplifying, we get: x = (c - 4a)/3.

Therefore, the solution to the equation 4a - 3x = c - 6x is x = (c - 4a)/3.

Finding the Values of x:

To find the values of x for which the expressions 3x + 5 and 2x - 6 have opposite values, we can set them equal to each other and solve for x. Here's how:

1. Set the expressions equal to each other: 3x + 5 = -(2x - 6). 2. Distribute the negative sign to the expression on the right side: 3x + 5 = -2x + 6. 3. Combine like terms by adding 2x to both sides of the equation: 3x + 2x + 5 = -2x + 2x + 6. Simplifying, we get: 5x + 5 = 6. 4. Subtract 5 from both sides of the equation: 5x + 5 - 5 = 6 - 5. Simplifying, we get: 5x = 1. 5. Finally, divide both sides of the equation by 5 to solve for x: (5x)/5 = 1/5. Simplifying, we get: x = 1/5.

Therefore, the value of x for which the expressions 3x + 5 and 2x - 6 have opposite values is x = 1/5.

I hope this helps! Let me know if you have any further questions.