Question

Знайдіть розв'язок системи рівнянь {y-x=3 x-2y=2 Посмотреть ответы kim08an kim08an Объяснение: { у-х=3 {х-2у=2 х=2+2у у-(2+2у)=3 у-2-2у=3 у= -5 х= 2+2×(-5)= -8 Ответ: (х; у) = (-8; -5) рад помочь lohtinik lohtinik Ответ: x=-8 y=-5 Объяснение: y=x+3 x-2x-6=2 -x=8 x=-8 y=-8+3=-5

Answer 1

Solution to the System of Equations

To find the solution to the system of equations:

y - x = 3
x - 2y = 2

We can solve this system of equations using the method of substitution or elimination. Let's use the method of substitution.

From the first equation, we can express `y` in terms of `x`:

y = x + 3

Substituting this expression for `y` into the second equation, we have:

x - 2(x + 3) = 2
x - 2x - 6 = 2
- x = 8
x = -8

Now, substituting the value of `x` back into the first equation, we can find the value of `y`:

y = -8 + 3
y = -5

Therefore, the solution to the system of equations is `(x, y) = (-8, -5)`.

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