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Solving system of equations

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Please see attached file regarding systems of equations

Solving system of equations by graphing, substitution and Guass

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Solution Summary

This solution includes step by step detailed explaantions of solving system of system of equations by graphing, forward substitution, back substitution and Guass elimination.

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Hi,

Please find the solutions attached herewith.

Thanks

Graph both the equations on the same graph.
Graph is shown below:

Red line is the graph of 3x + y = 7.
Purple line is the graph of x - 2y = 7.

We can see that lines are intersecting at one point so this system has unique solution.

x - 2y = 7--------------(i)
3x + y = 7--------------(ii)

Multiply (ii) by 2 and add to (i), we will get

7x = 21
 x = 3

Substitute value of x in equation (i), we will get

3 - 2y = 7

Subtract 3 to each side, we will get

-2y = 4

 y = -2

The solution is (3, ...

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