3.6 Systems with Three Variables

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Presentation transcript:

3.6 Systems with Three Variables Great ability develops and reveals itself increasingly with every new assignment.

Review!!! slope y - intercept Same Different Same Same Different Doesn’t matter

Now in 3D!!! No Solution because no point lies in all 3 planes One Solution because only 1 point lies in all 3 planes Infinitely Many Solutions because the planes intersect at all of the points along a common line

Solving by Elimination Pair equations to eliminate one variable Write the two new equations as a system and solve for the remaining 2 variables Substitute those values into one of the original equations and solve for the third variable CHECK!! 

Solving by Elimination

Solving by Substitution Choose one equation to solve for one of its variables Substitute the expression for that variable into each of the other 2 equations Write the 2 new equations as a system and solve for the two remaining variables Substitute your 2 values into an original equation and solve for the third CHECK!! 

3.6 Systems with Three Variables HW: #1, 3, 5, 11, 13, 20, 21 Great ability develops and reveals itself increasingly with every new assignment.