Solve Linear Systems By Elimination

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Presentation transcript:

Solve Linear Systems By Elimination https://www.youtube.com/watch?v=Tkrqrfkznoo

Elimination (Keys to solving) Things you need to solve by elimination Same coefficient of the same variable Opposite signs of the like variable When the system is added, the variable drops out (gets eliminated) Continue solving for the other variable by substitution

Solve by Elimination Follow Steps Do we have the same coefficient of one of the variables? Does that variable have opposite signs in each equation? Add the two equations together and one of the variables will drop out. Additive Inverse Solve for the other variable using the substitution method

Solve by Elimination Follow Steps Do we have the same coefficient of one of the variables? Does that variable have opposite signs in each equation? Add the two equations together and one of the variables will drop out. Additive Inverse Solve for the other variable using the substitution method

Solve by Elimination

Solve by Elimination

Creating Perpendicular Lines (have a 90° angle of intersection) When creating perpendicular lines, all you need to know is the slope of the original line The y-intercept does not matter Once you know the “m” (slope) you take the negative reciprocal of the given slope This means the opposite sign and flip the slope fraction One line will have a positive slope and the other will have a negative slope

Find the Equation of a Perpendicular Line Original (given) equation of a line Sign _______ m = _______ Now fill in for the perpendicular line Write the equation of the perpendicular line

Assignment Worksheet

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