**Unit 5 - Objective 3 - Solving 2 Equations in 2 Unknowns
Graphically**

Simultaneous linear equations are equations containing the same variables. For example:

2x - 3y = 2

3x + 2y = 3

are simultaneous equations. We must determine all the points, or ordered pairs, that these two equations have in common. If we graph the equations, we are looking for a common point where the two lines intersect.

Find the point where these two lines intersect. It appears to be the point (1, 0). A quick check to make sure this point satisfies these two equations. Plug (1, 0) into the equation 2x - 3y = 2 2 (1) - 3 (0) = 2 Plug (1, 0) into the equation 3x + 2y = 3 3 (1) + 2 (0) = 3 So the ordered pair (1, 0) satisfies these two equations. |

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