Question

Помогите пожалуйста решить линейную функцию методом подстановки: x-4y=3 x+y=4 . Заранее Очень большое спасибо!!!

Answer 1

X-4y=3
x+y=4
_______
x-4y=3
x=4-y
_________
(4-y)-4y=3
x=4-y
_______
-5y=-1
x=4-y
_________
y=одна пятая
x=4-одна пятая

Answer 2

Solving the Linear Equation Using Substitution Method

To solve the linear equation x - 4y = 3 and x + y = 4 using the substitution method, we can start by solving one of the equations for one variable and then substitute that expression into the other equation.

1. Solve the second equation for x: - x = 4 - y.

2. Substitute the value of x into the first equation: - (4 - y) - 4y = 3.

3. Simplify and solve for y: - 4 - y - 4y = 3 - 4 - 3y = 3 - -3y = -1 - y = 1/3.

4. Substitute the value of y back into the equation to solve for x: - x = 4 - (1/3).

5. Calculate the value of x: - x = 11/3.

Solution

So, the solution to the system of equations x - 4y = 3 and x + y = 4 is: - x = 11/3 - y = 1/3.

This is the solution obtained by using the substitution method to solve the given linear equations.