3.6 part 1 notes

# 3.6 part 1 notes - =-=-=-19 3 4 15 3 2 4 3 3 z y x z y x z y x Solving by Elimination Step 2 Now write 4 and 5 as a system Solve for x and z 3x 2z

This preview shows pages 1–2. Sign up to view the full content.

1 3.6 Notes (part 1) Systems With Three Variables Warm-up Solve each system. 1) 2) - = + = - 7 2 11 2 y x y x - = - = + - 14 12 2 8 6 y x y x Solving 3 Variable Systems by Elimination Objective: -to solve 3 variable systems by elimination one solution- planes intersect at one common point no solution- no point lies in all three planes. infinite number of solutions planes intersect at all the point along a common line. Solving by Elimination -When solving a system of three equations in three variables you work with the equations in pairs. You will use one of the equations twice . Step 1: Pair the equations and eliminate y, because the y terms are already additive inverses. ADD 1 and 2 (call that 4), then ADD 2 and 3 (call that 5)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: =--=-+-= +-19 3 4 15 3 2 4 3 3 z y x z y x z y x Solving by Elimination Step 2: Now write 4 and 5 as a system. Solve for x and z. 3x+2z = 11 x=5, z = 2 =-= + 34 2 6 11 2 3 z x z x Solving by Elimination Step 3: Substitute values for x and z into one of the original equations (1,2, or 3) and solve for y. x=5, z=2 x – 3y + 3z = -4 2 You try! =---= +-=-+ 1 2 3 5 2 z y x z y x z y x Solving by Elimination You may have to multiply an equation by a nonzero number in order to eliminate. For example: =-+ = + + =-+ 12 2 6 15 16 2 4 5 2 z y x z y x z y x Homework p. 157 # 1-9...
View Full Document

## This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State University.

### Page1 / 2

3.6 part 1 notes - =-=-=-19 3 4 15 3 2 4 3 3 z y x z y x z y x Solving by Elimination Step 2 Now write 4 and 5 as a system Solve for x and z 3x 2z

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online