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Graphical solutions can only be approximate. Looking at a graph you might think that lines cross at (2, 5) but it might be (1.99, 5.01).

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Q: Why is it important to check the solutions of graphical equations algebraically?
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Related questions

What is equations that have the same solutions?

Simultaneous equations have the same solutions.


How do you answer equations?

The answers to equations are their solutions


Do equations have solutions?

Equations do have solutions, sometimes they may be a little difficult to figure out.


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 are equations that have the same answer?

Simultaneous equations have the same solutions


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

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


What is an equation that have the same solutions?

Simultaneous equations have the same solutions.


When you solve a system of equations algebraically how can you tell whether the system has zero one or an infinite number of solutions?

Compare the equations. If it has the same slope it most likely will be parallel which means it has 0 solutions. However, if you plug in points and they match up exactly it would have an infinite amount of solutions. The only way it would intersect more than once or 2 then would be if it was a parabola which would have a x^2 value typically. If it has 1 solution it means it would intersect once.


What are linear equations with the same solutions called?

They are called simultaneous 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.


What are solutions of trigonometric equations?

That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.


What are the solutions to -x squared plus 2x plus 4 and x-2?

These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.