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3(5x-2y)=18

5/2x-y=-1

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Q: How do you solve systems of equations using substitution?
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How do you solve systems of equations by using elimination?

Multiply every term in both equations by any number that is not 0 or 1, and has not been posted in our discussion already. Then solve the new system you have created using elimination or substitution method:6x + 9y = -310x - 6y = 58


When using the substitution method to solve a nonlinear system of equations you should first see if you can one variable in one of the equations in the system?

isolate


Translate this word problem as a system of equations and then solve using substitution?

A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.


Can quadratic systems be solved using elimination and substitution?

You can solve lineaar quadratic systems by either the elimination or the substitution methods. You can also solve them using the comparison method. Which method works best depends on which method the person solving them is comfortable with.


When is it best to solve a systems of linear equations using elimination?

Elimination is particularly easy when one of the coefficients is one, or the equation can be divided by a number to reduce a coefficient to one. This makes substitution and elimination more trivial.


How do you work out the point of intersection without a graph?

You use algebra and solve the system(s) of equations using techniques such as elimination or substitution.


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.


How can you solve a system of equations?

The answer depends on whether they are linear, non-linear, differential or other types of equations.


How do you decide whether to use elimination or subsitution to solve a three-variable system?

There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.


How do you solve systems by using the substitution method?

You solve one of the equation for one of the variables. For example, if the variables involved are "x" and "y", you might solve for "y". It doesn't really matter what variable you solve for first, so you can solve for whatever variable is easiest to solve. Then - assuming you got, for example, "y = 3x -1", in this example you would replace every "y" by "3x - 1" in the other equation or equations.


What are the pros and cons to using the substitution method to solve equations in algebra?

pros; you will learn to be smarter. cons; you will waste ALL your time, get angry, and punch your teacher for making you do the work.


How do you solve 3 dimensional equations?

You can solve the system of equations with three variables using the substitute method, or using matrix operations.