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To solve a linear equation graphically,

The solution of the equation is the x -coordinate of the point of intersection.

The y -coordinate is the value obtained for both expressions when the equation is evaluated with the solution.

Example:

2x + 3 = x + 5

1. y_{1} = 2 x + 3; y_{ 2} = x + 5

2.

3. (2, 7); solution is 2

Try the following:

1) 3x + 5 = 2x

2) 6x - (4x + 3) = 7 - 3x

There are three possibilities when solving linear equations: