Solve the equation
Y = 3x + 1
Does the equation contain:
Infinite solutions
One solution
Zero Solutions
The equation Y = 3x + 1 represents a linear equation with one variable.
Since the equation contains only one variable, there can be either one solution, zero solutions, or infinite solutions.
To determine which case it is, we need more information or context.
To determine if the equation Y = 3x + 1 contains infinite solutions, one solution, or zero solutions, we need to compare the number of variables (unknowns) with the number of equations.
The given equation Y = 3x + 1 represents a linear equation in two variables, Y and x. Since we have only one equation, we cannot uniquely determine the values of both variables.
Therefore, the equation Y = 3x + 1 has infinitely many solutions.
To determine the number of solutions for the equation Y = 3x + 1, we need to compare the number of equations and the number of unknowns.
In this equation, we have one equation (Y = 3x + 1) and one unknown (x).
Since we have one equation and one unknown, we can conclude that this equation has exactly one solution.
To find the specific solution, we can set a value for Y and solve for x:
For example, let's say Y = 7:
7 = 3x + 1
Subtracting 1 from both sides:
7 - 1 = 3x
6 = 3x
Dividing both sides by 3:
x = 6/3
x = 2
Therefore, when Y = 7, the solution to the equation Y = 3x + 1 is x = 2.
Similarly, you can choose any value for Y and solve for x to find different solutions to the equation.