Question

Решить систему y-3x=-5

Answer 1

Y=-5+3x
(Область определения) x€[прееадлажит]R

Answer 2

To solve the system of equations, y - 3x = -5, we need to find the values of x and y that satisfy both equations simultaneously. There are multiple ways to solve this system, but one common method is the substitution method. Here's how it works:

Step 1: Solve one equation for one variable in terms of the other variable. Step 2: Substitute the expression from Step 1 into the other equation. Step 3: Solve the resulting equation for the remaining variable. Step 4: Once you find the value of one variable, substitute it back into one of the original equations to find the value of the other variable.

Let's proceed with the substitution method:

Step 1: Solve y - 3x = -5 for y. y = 3x - 5

Step 2: Substitute the value of y from Step 1 into the original equation y - 3x = -5. (3x - 5) - 3x = -5

Step 3: Solve for x: 3x - 5 - 3x = -5 -5 = -5

Step 4: Since the equation -5 = -5 is true, it means that the value of x can be any real number. There are infinitely many solutions to this system, and the values of y will depend on the chosen value of x.

For example, if we choose x = 0, then: y = 3(0) - 5 y = -5

So one possible solution to the system is x = 0 and y = -5. But remember, there are many other combinations of x and y that satisfy the system.