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Need major help please find all real solutions to the system of equations 4x 2 plus y 2 equals 100 and 4x 2 minus y 2 equals -62?
Shakenbake97
(x, y) = (√19/2, 9), (√19/2, -9), (-√19/2, 9), (-√19/2, -9).
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∙ 9y ago
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If a system of equations is inconsitient how many solutions will it have?
If a system of equations is inconsistent, there are no solutions.
What type of system is 3x plus 2y equals 7 and -4x-3y equals 10?
They are simultaneous equations and their solutions are x = 41 and y = -58
If a system of equations is independent how many soultions will it have?
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 is a system of linear equations with exactly two solutions is it true or false?
False. There can either be zero, one, or infinite solutions to a system of two linear equations.
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
If a system of equations is inconsitient how many solutions will it have?
If a system of equations is inconsistent, there are no solutions.
How many solutions does this system of equations have 2x-3y equals -14 4x-6y equals -28?
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 equals 2 AND -x plus 5y equals 3?
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.
What are 3 real rational solutions to this system of equations z equals x squared y equals z squared x equals y squared?
The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.
How many solutions does the system of linear equations shown have?
As there is no system of equations shown, there are zero solutions.
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 the following system have x plus y equals 3 and 2x plus y equals 5?
It has 2 solutions and they are x = 2 and y = 1 which are applicable to both equations
What type of system is 3x plus 2y equals 7 and -4x-3y equals 10?
They are simultaneous equations and their solutions are x = 41 and y = -58
How do you find all real solutions to the system of equations 4x 2 plus y 2 equals 100 and 4x 2 minus y 2 equals 62?
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.
If a system of equations is independent how many soultions will it have?
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.
Why a system of linear equations cannot have exactly two solutions?
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
What are the possible solutions for a system of equations?
The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do not intersect at all (or maybe two of the lines intersect, and the third one doesn't) then there is no solution. If the equations describe the same line, then there will be infinite solutions (every point on the line satisfies both equations). If the system of equations came from a real world problem (like solving for currents or voltages in different parts of a circuit) then there should be a solution, if the equations were chosen properly.
