Question

Решите пожалуйста. {6х-5у=16 {3х+14у=74 {8х-3у=7 {5х+у=9 {х-у=7 {3х-2у=-27 { - это фигурная скобка 1 Смотреть ответ Хрыся Хрыся {6х-5у=16;                    {6х-5у=16;              {-33у=-132;     { у=4{3х+14у=74/*(-2);         { -6х-28у=-148 ;      { 6х-5у=16       {6х=16+5*4;/:6  {у=4  {х=6 {8х-3у=7 8х-3у=7{5х+у=9/*(-3) а где еще 2?

Answer 1

Solving the System of Equations

To solve the system of equations, let's go step by step.

The given system of equations is:

1. 6x - 5y = 16 2. 3x + 14y = 74 3. 8x - 3y = 7 4. 5x + y = 9 5. x - y = 7 6. 3x - 2y = -27

Let's solve it using the method of substitution.

From equation 5, we can express x in terms of y:

x = y + 7 [[1]]

Now, substitute this value of x in equations 1, 2, 3, 4, and 6:

1. 6(y + 7) - 5y = 16 2. 3(y + 7) + 14y = 74 3. 8(y + 7) - 3y = 7 4. 5(y + 7) + y = 9 6. 3(y + 7) - 2y = -27

Simplify each equation:

1. 6y + 42 - 5y = 16 2. 3y + 21 + 14y = 74 3. 8y + 56 - 3y = 7 4. 5y + 35 + y = 9 6. 3y + 21 - 2y = -27

Simplify further:

1. y + 42 = 16 2. 17y + 21 = 74 3. 5y + 56 = 7 4. 6y + 35 = 9 6. y + 21 = -27

Solve each equation:

1. y = -26 [[2]] 2. y = 3 [[3]] 3. y = -9 [[4]] 4. y = -4 [[5]] 6. y = -48 [[6]]

Now, substitute the values of y back into equation 5 to find the corresponding values of x:

1. x = -26 + 7 = -19 2. x = 3 + 7 = 10 3. x = -9 + 7 = -2 4. x = -4 + 7 = 3 6. x = -48 + 7 = -41

Therefore, the solutions to the system of equations are:

1. x = -19, y = -26 2. x = 10, y = 3 3. x = -2, y = -9 4. x = 3, y = -4 6. x = -41, y = -48

Please note that the solutions are obtained by solving the system of equations step by step.