Systems of Linear Equations. Lesson 2 – Solving Linear systems graphically. Todays Objectives. Students will be able to solve problems that involve systems of linear equations in two variables graphically and algebraically, including:
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Lesson 2 – Solving Linear systems graphically
Solution to the system
3x + 2y = -12
We can use the graphs to estimate the solution of the linear system.
The set of points that satisfy both equations lie where the two graphs intersect. From the graph, the point of intersection appears to be (-2, -3).
The point of intersection appears to be (6, 2). Verify the solution by substituting x = 6 and y = 2.
d = 1400 – 400t
d = 350t