8
The equation has infinitely many solutions.
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.
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.
Infinitely many.
There are two solutions and they are: x = -1 and y = 3
It has infinitely many solutions.
The equation has infinitely many solutions.
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.
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.
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.
There is no solution for those equations because the lines are parallel so, they never touch.
Infinitely many.
There are two solutions and they are: x = -1 and y = 3
x=4y+1 x=4y-1 No,they have different solutions.
There are infinitely many solutions, for example, x=-7 and y=5, because -7+5=-2
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.
Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5