Question

Решите уравнение: 3-у+2(5-у)=4у-8

Answer 1

3-у+10-2у=4у-8

-7у=-21

у=3

Answer 2

3-у+2(5-у)=4у-8

3-у+10-2у=4у-8

-y-2y-4y=-8-3-10

-7y=-21

y=3

Ответ: у=3

Answer 3

I can help you solve linear equations. A linear equation is an equation with variable(s) to the first power and one or more constants. For example, in the linear equation 2x + 3 = 4:

- x is the variable, which represents a number whose value we don't know yet. - 2 is the coefficient, or the constant multiple of the variable x. - 3 and 4 are constants. They are both terms as well.

Solving a linear equation means finding the value(s) for the variable(s) that make the equation true. To do this, we need to isolate the variable by identifying inverse operations to perform on both sides of the equation until the variable is left by itself. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

To solve your equation, 3 - y + 2(5 - y) = 4y - 8, we can follow these steps:

- Distribute the 2 to the terms inside the parentheses: 3 - y + 10 - 2y = 4y - 8 - Combine the like terms on each side of the equation: 13 - 3y = 4y - 8 - Subtract 4y from both sides: 13 - 7y = -8 - Add 8 to both sides: 21 - 7y = 0 - Divide both sides by -7: -3 = y

The solution is y = -3. You can check this by plugging it back into the original equation and simplifying. You should get the same value on both sides.

For more information on how to solve linear equations, you can visit these websites:

- [Linear equations | Lesson (article) | Khan Academy](https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/praxis-math-algebra/a/gtp--praxis-math--article--linear-equations--lesson) - [Solving Linear Equations - 4 Methods, Step-by-Step Solutions ... - Cuemath](https://www.cuemath.com/algebra/solving-linear-equations/) - [Linear equations 1 (video) | Khan Academy](https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-old-school-equations/v/algebra-linear-equations-1) - [Know How to Solve Linear Equations With Examples - BYJU'S](https://byjus.com/maths/solving-linear-equations/)