(x, y) = (√19/2, 9), (√19/2, -9), (-√19/2, 9), (-√19/2, -9).
If a system of equations is inconsistent, there are no solutions.
They are simultaneous equations and their solutions are x = 41 and y = -58
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
There are two solutions and they are: x = -1 and y = 3
To determine the number of solutions for a system of equations, one would typically analyze the equations' characteristics—such as their slopes and intercepts in the case of linear equations. If the equations represent parallel lines, there would be no solutions; if they intersect at a single point, there is one solution; and if they are identical, there would be infinitely many solutions. Without specific equations, it's impossible to provide a definitive number of solutions.
If a system of equations is inconsistent, there are no solutions.
The equations are identical in value, ie the second is merely twice the first...
How many solutions are there to the following system of equations?2x - y = 2-x + 5y = 3if this is your question,there is ONLY 1 way to solve it.
The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.
As there is no system of equations shown, there are zero solutions.
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.
It has 2 solutions and they are x = 2 and y = 1 which are applicable to both equations
They are simultaneous equations and their solutions are x = 41 and y = -58
Add the two equations together. This will give you a single equation in one variable. Solve this - it should give you two solutions. Then replace the corresponding variable for each of the solutions in any of the original equations.
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A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.