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Q: How many real solution (intersections) will there be in this system of two equations?
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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.


How many solutions does a system of linear equations have if it is inconsistant?

A set of equations is inconsistent, if its solution set is empty.


What is cramer rule?

In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.


If a system has many solutions what kind of system of equations is it?

Coincidental equations are really the same and are the same line. They have infinite solutions meaning that any solution for one will be a solution for the other.


What is a set of equations in the same variables?

It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.


How many solutions is it possible for a system of linear equations to have?

one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel


How many real solutions (intersections) will there be in this system of two equations 5x(2) plus y 2x(2) plus y?

None because the given terms of an expression are not equations because there are no equality signs.


How can graphs be used to estimate the solution for a system of linear equations?

Graphs can be used in the following way to estimate the solution of a system of liner equations. After you graph however many equations you have, the point of intersection will be your solution. However, reading the exact solution on a graph may be tricky, so that's why other methods (substitution and elimination) are preferred.


If an independent system of equations is solved how many solutions will there be?

your taking nova net..... its one solution.


Does the graph of a system of equations with different slopes have no solutions?

The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.


When solving a system of equations by elimination you find what?

You find a solution set. Depending on whether the equations are linear or otherwise, consistent or not, the solution set may consist of none, one, several or infinitely many possible solutions to the system.