Question

{6х + 5у = 34 7х - 2у = -23 розв'яжіть системуПопроси больше объяснений Следить Отметить нарушение Nicco1 18.04.2016 Войти чтобы добавить комментарий ОтветОтвет данriman48nusha 47x = -47;x=-1 2y = 7x+23; 2y = 16; y=8; Ответ:х=-1,у=8

Answer 1

Solving the System of Equations

To solve the given system of equations, we can use the substitution method or the elimination method. Let's use the substitution method to find the values of x and y.

The given system of equations is: - 6x + 5y = 34 - 7x - 2y = -23

Substitution Method

We can solve the second equation for one variable and then substitute that expression into the other equation.

From the second equation: - 7x - 2y = -23 - 7x = 2y - 23 - x = (2y - 23)/7

Now, we can substitute the value of x into the first equation: - 6x + 5y = 34 - 6((2y - 23)/7) + 5y = 34 - (12y - 138)/7 + 5y = 34 - 12y - 138 + 35y = 238 - 47y - 138 = 238 - 47y = 376 - y = 376/47 - y = 8

Now that we have found the value of y, we can substitute it back to find the value of x: - x = (2(8) - 23)/7 - x = (16 - 23)/7 - x = -7/7 - x = -1

Solution

Therefore, the solution to the system of equations is: - x = -1 - y = 8

This solution satisfies both equations in the original system.

I hope this helps! If you have any further questions or need additional explanations, feel free to ask!