Question

Решите систему 1/2x -2y=1 ; x+7y=4. Заранее благодарю

Answer 1

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Answer 2

Выразим х
х=4-7у
Подставим в первое уравнение(Так как выражали х через второе)
0.5(4-7у)-2у=1
Решаем данное уравнение
2-3.5у-2у=1
-5.5у=-1
у=5.5
Подставляем под, то из чего мы выразили х
х=4-7(5.5)=-34.5

Answer 3

Solution to the System of Equations

To solve the system of equations:

1/2x - 2y = 1 x + 7y = 4

We can use the method of substitution or elimination. Let's use the method of substitution.

Step 1: Solve one equation for one variable in terms of the other variable. Let's solve the second equation for x: x = 4 - 7y

Step 2: Substitute the expression for x in the other equation. Substitute x = 4 - 7y into the first equation: 1/2(4 - 7y) - 2y = 1

Simplifying the equation: 2 - 7/2y - 2y = 1 2 - 11/2y = 1

Step 3: Solve for y. Subtract 2 from both sides of the equation: -11/2y = -1

Multiply both sides of the equation by -2/11: y = 2/11

Step 4: Substitute the value of y back into one of the original equations to solve for x. Using the second equation: x + 7(2/11) = 4 x + 14/11 = 4 x = 4 - 14/11 x = 44/11 - 14/11 x = 30/11

Therefore, the solution to the system of equations is x = 30/11 and y = 2/11.