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What does it mean if an equation equals 0 does it have one solution no solution or indefinitely many solutions?

It has infinitely many solutions.


What is the solution of 4y minus x equals 10?

The equation has infinitely many solutions.


When solving a system of equations by substitution what is meant by a useless result 12 equals 12?

In the context of solving a system of equations by substitution, a "useless result" like 12 equals 12 indicates that the two equations are actually dependent, meaning they represent the same line or have infinitely many solutions. Instead of finding a unique solution, you end up with a tautology that confirms the equations are equivalent. This suggests that any solution that satisfies one equation will also satisfy the other, leading to an infinite set of solutions rather than a single point of intersection.


What happens when a linear system of equations equals zero?

When a linear system of equations equals zero, it typically means that the solution set consists of the trivial solution, where all variables are equal to zero, especially in homogeneous systems. This implies that the equations are consistent and have at least one solution. In some cases, if the system is dependent, there may be infinitely many solutions, but they will still satisfy the condition of equating to zero. Overall, the system describes a relationship among the variables that holds true under certain constraints.


Does this system of equations have one solution no solutions or an infinite number of solutions x - 2y equals -6 and x-2y equals 2?

x - 2y = -6 x - 2y = 2 subtract the 2nd equation from the 1st equation 0 = -8 false Therefore, the system of the equations has no solution.


How many solutions does y equals 2x and y equals 2x-4 have?

There is no solution for those equations because the lines are parallel so, they never touch.


How many solutions of secx equals 2?

Infinitely many.


What is the solution of the following system of equations y equals x plus 4 y equals -2x plus 1?

There are two solutions and they are: x = -1 and y = 3


Do the equations X equals 4y plus 1 and X equals 4y-1 have the same solution?

x=4y+1 x=4y-1 No,they have different solutions.


What is the solution to x plus y equals -2?

There are infinitely many solutions, for example, x=-7 and y=5, because -7+5=-2


Does this system of equations have one solution no solutions or an infinite number of solutions 2x - y equals 8 and x plus y equals 1?

Solve both equations for y, that is, write them in the form y = ax + b. "a" is the slope in this case. Since the two lines have different slopes, when you graph them they will intersect in exactly one point - therefore, there is one solution.


What is the system of equations and enter the solution as an ordered pair 4x 7y equals 47 5x-4y equals -5?

Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5