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Solving linear equations using linear combinations basically means adding several equations together so that you can cancel out one variable at a time.

For example, take the following two equations: x+y=5 and x-y=1

If you add them together you get 2x=6 or x=3

Now, put that value of x into the first original equation, 3+y=5 or y=2

Therefore your solution is (3, 2)

But problems are not always so simple.

For example, take the following two equations: 3x+2y=13 and 4x-7y=-2 to make the "y" in these equations cancel out, you must multiply the whole equation by a certain number.

Q: How do you solve linear equations using linear combinations?

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

You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.

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.

There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.

Matrices are tools to solve linear equations. Engineers use matrices in solving electrical problems in circuits using Thevenin's and Norton's theories.

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

Ask you math professor

4

A system of linear equations.

You cannot solve one linear equation in two variables. You need two equations that are independent.

You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.

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.

There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.

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

Matrices are tools to solve linear equations. Engineers use matrices in solving electrical problems in circuits using Thevenin's and Norton's theories.

Its harder to solve the equations with grande numbers

a=5: c=4