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How many solutions are there to the following system of equations?

2x - y = 2

-x + 5y = 3

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there is ONLY 1 way to solve it.

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Q: How many solutions are there to the following system of equations 2x-y equals 2 AND -x plus 5y equals 3?
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Continue Learning about Calculus

How many solutions does the system of linear equations shown have?

As there is no system of equations shown, there are zero solutions.


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.


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.


Are there any solutions to the system of inequalities y equals 2x plus 3 and y equals 2x - 1?

There are no common points for the following two equations: y = 2x + 3 y = 2x - 1 If you graph the two lines, since they have the same slope, they are parallel - they will never cross.


How do you know if a system has one solution?

If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.

Related questions

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


How many solutions exist for the following system of equations?

The answer follows:


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


Solve the following system of equations express your answer as an ordered pair 2x plus 5y equals 16 and -5x minus 2y equals 2?

The solutions are: x = -2 and y = 4


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...


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.


What are the possible solutions for a pair of linear equation?

Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.


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?

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What is the solution of the following system of equations 3y - 2x equals 3 y equals x?

x = y = 3


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