Question

Реши систему уравнений: {2x−y=5x−2,5y=20 x= y= Смотреть ответ tetamotatetyamotya tetamotatetyamotya Ответ:вот Объяснение: В данном случае это невозможно у меня на яклассе ответ только в диситичной Я вам написала так,как корректно при решении данной системы. 2 не делится на 3,поэтому в данном случае не получится. можешь перевевсти в деситичные

Answer 1

Solving the System of Equations

To solve the given system of equations:

2x - y = 5x - 2
5y = 20 + x

Let's start by simplifying the equations and rearranging them to isolate the variables.

From the first equation, we can rearrange it as follows:

2x - y = 5x - 2
-3x - y = -2

Now, let's rearrange the second equation:

5y = 20 + x
x - 5y = -20

We now have a system of equations in the form:

-3x - y = -2
x - 5y = -20

To solve this system, we can use the method of substitution or elimination. Let's use the method of elimination.

Multiplying the first equation by 5 and the second equation by -3, we get:

-15x - 5y = -10
-3x + 15y = 60

Adding these two equations together, we eliminate the x variable:

-15x - 5y + (-3x + 15y) = -10 + 60
-18x + 10y = 50

Now, let's solve this equation for y:

-18x + 10y = 50
10y = 18x + 50
y = (18x + 50) / 10

Next, substitute this value of y into one of the original equations. Let's use the second equation:

x - 5y = -20
x - 5((18x + 50) / 10) = -20
x - (9x + 25) = -20
x - 9x - 25 = -20
-8x - 25 = -20
-8x = 5
x = -5/8

Now that we have the value of x, we can substitute it back into the equation for y:

y = (18x + 50) / 10
y = (18(-5/8) + 50) / 10
y = (-45/4 + 50) / 10
y = (5/4) / 10
y = 5/40
y = 1/8

Therefore, the solution to the given system of equations is:

x = -5/8
y = 1/8

Please note that the solution is in fractional form. If you prefer decimal form, you can convert the fractions to decimals.

Let me know if you have any further questions!