Question

Решить систему уравнений {3x-5y=6 {-8y=3x+7 Посмотреть ответы Sabina140904 Sabina140904 Как-то так ............................ все правильно же проверяла на черновике. я решала методом подстановки почему Что-то не правильно... mereiBlalova mereiBlalova Ответ:х=5;у=-1,8. (5;-1,8)

Answer 1

Solving the System of Equations

To solve the system of equations:

3x - 5y = 6
-8y = 3x + 7

we can use the method of substitution. Let's start by solving the second equation for x in terms of y:

-8y = 3x + 7
3x = -8y - 7
x = (-8y - 7) / 3

Now, we can substitute this expression for x into the first equation:

3((-8y - 7) / 3) - 5y = 6
-8y - 7 - 5y = 6
-13y - 7 = 6
-13y = 13
y = -1

Substituting the value of y back into the expression for x:

x = (-8(-1) - 7) / 3
x = (8 - 7) / 3
x = 1 / 3

Therefore, the solution to the system of equations is x = 1/3 and y = -1.

Verification

To verify the solution, we can substitute the values of x and y back into the original equations and check if they hold true.

For the first equation:

3(1/3) - 5(-1) = 6
1 + 5 = 6
6 = 6

The equation holds true.

For the second equation:

-8(-1) = 3(1/3) + 7
8 = 1 + 7
8 = 8

The equation also holds true.

Therefore, the solution x = 1/3 and y = -1 satisfies both equations in the system.

I hope this helps! Let me know if you have any further questions.