Question

Решите систему уравнений {4x= - 8 {2y-x=6 Попроси больше объяснений Следить Отметить нарушение DestroyerKisok228 22.08.2016 Войти чтобы добавить комментарий Что ты хочешь узнать? Задай вопрос Ответ Ответ дан Ангелінай 4x=-82y-x=6- знак системи -х =6-2yx=2y+64(2y+6)=-88y+24=-88y=-8-248y=-32y=-4x=2*-4+6x=-2(-2. -4) 1.0 2 оценки 2 оценки Оцени! Оцени! Спасибо  0 Комментарии Отметить нарушение Войти чтобы добавить комментарий Ответ Ответ дан xsellizer

Answer 1

Solving the System of Equations

To solve the system of equations:

4x = -8
2y - x = 6

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

From the first equation, we can solve for x:

4x = -8
x = -8/4
x = -2

Now, substitute the value of x into the second equation:

2y - (-2) = 6
2y + 2 = 6
2y = 6 - 2
2y = 4
y = 4/2
y = 2

Therefore, the solution to the system of equations is x = -2 and y = 2.

Verification

To verify the solution, substitute the values of x and y back into the original equations:

For the first equation:

4x = -8
4(-2) = -8
-8 = -8

The equation is satisfied.

For the second equation:

2y - x = 6
2(2) - (-2) = 6
4 + 2 = 6
6 = 6

The equation is also satisfied.

Therefore, the solution x = -2 and y = 2 is correct.

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