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Substitution is a way to solve without graphing, and sometimes there are equations that are impossible or very difficult to graph that are easier to just substitute. Mostly though, it is a way to solve if you have no calculator or cannot use one (for a test or worksheet).

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Q: What is the advantage that the method od substitution has over the graphing method of solving system of equations?
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When solving a system of equations by graphing how is the solution found?

The solution is the coordinates of the point where the graphs of the equations intersect.


Can rational equations steps to solving be eliminated or changed in any way?

Simultaneous equations can also be solved by substitution or graphically


How do use substitution when solving system of equations?

You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.


How do you solve the system of equation by substitution x plus 2y-2 3x plus 4y6?

If you mean x+2y = -2 and 3x+4y = 6 then by solving the simultaneous equations by substitution x = 10 and y = -6


How do you solve a system of linear equations by graphing?

When you are solving a system of linear equations, you are looking for the values for the unknown variables (usually named x and y) that make each equation in the system true. Instead of using algebraic substitution or elimination, you can use graphing to find the variables. If you graph each equation on the same graph, the point where the graphs cross is the answer, which should be given as an ordered pair in the form (x,y). If the graphs do not cross anywhere (for example, parallel lines) then there is no solution. If the graphs of two lines end up being the same line, then there are an infinite number of solutions. You must know how to graph a line in order to use this method.

Related questions

What is the disadvantage of using the substitution method in solving linear equations rather than the graph method?

There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.


What is graphing method?

In systems of equations, the graphing method is solving x and y by graphing out the two equations. x and y being the coordinates of the two line's intersection.


Solving the system of equations by graphing?

Graph both equations on the same graph. Where they intersect is the solution to the system of equations


When solving a system of equations by graphing how is the solution found?

The solution is the coordinates of the point where the graphs of the equations intersect.


What is the advantages or disadvantages of solving system of linear equation by graphing?

The advantage of solving a system of linear equations by graphing is that it is relatively easy to do and requires very little algebra. The main disadvantage is that your answer will be approximate due to having to read the answer from a graph. Where the solution are integer values, this might be alright, but if you are looking for an accurate decimal answer, this might not be able to be achieved. Another disadvantage to solving linear equations by graphing is that at most you can have two unknown variables (assuming that you are drawing the graph by hand).


What are the two methods in solving 2 unknowns?

By substitution or elimination in simultaneous equations.


What is the first step in solving the following system of equations by substitution?

The first step is to show the equations which have not been shown.


Which method of solving quadratic equations should be used when only an estimated solution is necessary?

Graphing


Which is most likely the first step in solving a system of nonlinear equations by substitution APEX?

Isolating a variable in one of the equations.


Can rational equations steps to solving be eliminated or changed in any way?

Simultaneous equations can also be solved by substitution or graphically


Why is it the graphing method is the least reliable method in solving system of linear equations?

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Which of these is a reason to substitute the values back into the equations when solving a system by graphing?

you cannot determine the exact value of the point