Question

Это система уровнение так что не как фигурные скобки. Решите систему уровнений 3(х+у)+1=х+4у 7-2(х-у)=х-8у ( Не забудьте тут фигурный скобки это система уровнений!!!!) СРОЧНО НАДО!!!!

Answer 1

 

 3(х+у)+1=х+4у7-2(х-у)=х-8у

 

 

3х+3у+1=х+4у

7-2х+2у=х-8у

 

3х-х+3у-4у=-1

-2х-х+2у+8у=-7

 

2х-у=-1

-3х+10у=-7

 

у=2х+1

-3х+10(2х+1)=-7

Далее решаем как простое уравнение:

-3х+20х+10=-7

17х+10=-7

17х=-7-10

17х=-17

х=-1

Answer 2

Solving the System of Equations

To solve the system of equations 3(x + y) + 1 = x + 4y + 7 and -2(x - y) = x - 8y, we can use algebraic methods to find the values of x and y that satisfy both equations.

Let's solve the system step by step:

1. Simplify the equations: - Equation 1: 3x + 3y + 1 = x + 4y + 7 - Equation 2: -2x + 2y = x - 8y

2. Rearrange the equations to isolate the variables: - Equation 1: 2x - y = 6 - Equation 2: 3x + 10y = 1

3. Choose a method to solve the system. In this case, we'll use the substitution method.

4. Solve for one variable in terms of the other using one of the equations. Let's solve Equation 1 for x: - Equation 1: 2x - y = 6 - Solving for x: 2x = y + 6 - x = (y + 6) / 2

5. Substitute the expression for x into the other equation. Let's substitute into Equation 2: - Equation 2: 3x + 10y = 1 - Substituting x: 3((y + 6) / 2) + 10y = 1 - Simplifying: (3y + 18) / 2 + 10y = 1 - Multiplying through by 2 to eliminate the fraction: 3y + 18 + 20y = 2 - Simplifying further: 23y + 18 = 2 - 23y = -16 - y = -16 / 23

6. Substitute the value of y back into the expression for x. Using x = (y + 6) / 2: - x = (-16 / 23 + 6) / 2 - x = (-16 / 23 + 138 / 23) / 2 - x = 122 / 23 / 2 - x = 61 / 23

7. Therefore, the solution to the system of equations is x = 61 / 23 and y = -16 / 23.

Please note that the solution provided is based on the given system of equations. If there are any errors or if the equations were not accurately represented, please let me know.

Let me know if there's anything else I can help you with!