Systems of Linear Equations

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Presentation transcript:

Systems of Linear Equations Objective: students will use substitution to find the solution of a linear system.

Steps Take one equation and solve for x or y. Take what you get from one and substitute into other equation. Solve the equation Take what you get and put into other equation and solve Write as an ordered pair Ex: x + y = -3 x – y = -3

Find # of solutions Y = 4x + 2 Y = x + 2

Find # of solutions x + y = 3 x – y = -5

Find # of solutions Y = -x - 4 y = x + 4

Find # of solutions Y = x - 4 4x + y = 26

Find # of solutions S = t + 4 2t + s = 19

Find # of solutions 2c – d = -2 4c + d = 20

Find # of solutions U – v = 0 7u + v = 0

Find # of solutions 2a = 8 A + b = 2

Wrap-up Question/Comments Hw: Problems

Use substitution to find a solution P + q = 4; 4p + q = 1 M + 2n = 1; 5m + 3n = -23 3x + y = 3; 7x + 2y = 1 2x + y = 4; -x + y = 1