Question

Решите систему уравнений методом подстановки 2x+y=1 5x+2y=0

Answer 1

2Y = - 5X 
Y = - 2,5X 
-------------
2X + Y = 1 
2X - 2,5X = 1 
- 0,5X = 1 
X = - 2 
Y = - 2,5 * ( - 2 ) = 5 

Answer 2

System of Equations: 2x + y = 1, 5x + 2y = 0

To solve the system of equations using the method of substitution, we will solve one equation for one variable and substitute it into the other equation.

Let's solve the first equation, 2x + y = 1, for y: ``` 2x + y = 1 y = 1 - 2x ``` Now, substitute this value of y into the second equation, 5x + 2y = 0: ``` 5x + 2(1 - 2x) = 0 5x + 2 - 4x = 0 x = -2 ``` Substitute the value of x back into the first equation to find y: ``` y = 1 - 2(-2) y = 1 + 4 y = 5 ``` Therefore, the solution to the system of equations is x = -2 and y = 5.

Answer: The solution to the system of equations 2x + y = 1 and 5x + 2y = 0 is x = -2 and y = 5.