Question

Решите систему уравнений 2(3x-y)-5=2x-3y, 5-(x-2y)=4y+16.(очень нужно)P.s можно по понятней)

Answer 1

6x-2y-5=2x-3y
5-x+2y=4y+16

4x+y=5 |•2
-x-2y=11

8x+2y=10
-x-2y=11

Складываем первую строчку со второй:
7x=21
x=3

Если х=3, то
24+2y=10
2y=-14
y=-7
Ответ: (3; -7)

Answer 2

Solving the System of Equations

To solve the system of equations: 1. 2(3x-y)-5=2x-3y 2. 5-(x-2y)=4y+16

We can use the following steps to find the values of x and y.

First, let's simplify the equations and solve for one variable in terms of the other.

1. Simplify the first equation: - 2(3x-y)-5=2x-3y - 6x - 2y - 5 = 2x - 3y - 6x - 2y - 2x + 3y = 5 - 4x + y = 5 (Equation 1)

2. Simplify the second equation: - 5 - (x - 2y) = 4y + 16 - 5 - x + 2y = 4y + 16 - 2y - x - 4y = 16 - 5 - -x - 2y = 11 - x + 2y = -11 (Equation 2)

Now, we have a system of two equations: 1. 4x + y = 5 2. x + 2y = -11

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

3. Substitution Method: - Solve Equation 2 for x: x = -11 - 2y - Substitute x in Equation 1: 4(-11 - 2y) + y = 5 - -44 - 8y + y = 5 - -44 - 7y = 5 - -7y = 5 + 44 - -7y = 49 - y = -7

4. Find the value of x: - Using the value of y in Equation 2: x + 2(-7) = -11 - x - 14 = -11 - x = -11 + 14 - x = 3

Solution:

The solution to the system of equations is: - x = 3 - y = -7