Question

У=x-5 4x+y=10 методом подстановки

Answer 1

Y=x-5
4x+x-5=10

y=x-5
5x=15

x=3
y= -2

Answer 2

4x+x-5=10
5x-5=10
5x=10+5
5x=15
x=3

Answer 3

To solve the system of equations using the method of substitution, we'll follow these steps:

1. Solve one of the equations for one variable in terms of the other.
2. Substitute the expression found in step 1 into the other equation.
3. Solve the resulting equation for the variable.
4. Substitute the value found in step 3 back into the expression from step 1 to find the value of the other variable.

Let's proceed with the given equations:

1. Solve the first equation for y in terms of x: $y = U = x - 5$

2. Substitute the value of $y$ from step 1 into the second equation: $4x + (x - 5) = 10$

3. Now, solve for $x$: $4x + x - 5 = 10$ $5x - 5 = 10$ $5x = 10 + 5$ $5x = 15$ $x = 15/5$ $x = 3$

4. Substitute the value of $x$ into the expression for $y$: $y = x - 5$ $y = 3 - 5$ $y = -2$

So, the solution to the system of equations is $x = 3$ and $y = -2$.