Question

Реши сестему методом подстановки 6х+5у=6 2х+у=-2 6Б класс 9

Answer 1

6x+5y=6
2x+y=-2

6x×1+5y×1=6×1
2x×-3+y×-3=-2×-3

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

2y=12
y=6

-6x-18=6
-6x=6+18

-6x=24
X=-4

Answer 2

Problem Statement

You have provided a system of equations that needs to be solved using the method of substitution. The system of equations is as follows:

Equation 1: 6x + 5y = 6 Equation 2: 2x + y = -2

To solve this system of equations, we will use the method of substitution.

Solution

Step 1: Solve one equation for one variable in terms of the other variable. Let's solve Equation 2 for x:

From Equation 2: 2x + y = -2 Solving for x: 2x = -2 - y x = (-2 - y)/2

Step 2: Substitute the expression for x from Step 1 into the other equation. Let's substitute x = (-2 - y)/2 into Equation 1:

6x + 5y = 6 6((-2 - y)/2) + 5y = 6 -6 - 6y + 5y = 6 -y = 12 y = -12

Step 3: Substitute the value of y from Step 2 into the expression for x from Step 1 to find the value of x:

x = (-2 - y)/2 x = (-2 - (-12))/2 x = (-2 + 12)/2 x = 10/2 x = 5

Therefore, the solution to the system of equations is x = 5 and y = -12.

Note: The solution to the system of equations is x = 5 and y = -12.