{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

4.2 Notes (filled in)

4.2 Notes (filled in) - 4.2 Solving Systems of EquaTions in...

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

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: 4.2 Solving Systems of EquaTions in Three Variables Goal: Solve Thr'ee equaTions wiTh Thr'ee unknowns The soluTion of a linear equation in Three variables is an ordered Triple (x, y, 2) That makes The equaTion True. HW problem #1: Which equaTions have (4, 3, 1) as a soluTion? '7 = -I5Hi3 a)x+Y+z 3 + 3.23 7 b)-x+y+z=5 ‘("13+3+‘;:5 I43‘H "*5 5=S? c)-—x+y+22=0 ‘(”‘)+3+Z(‘):O l+\$+ZéO biovqn. -\+7_(?>)-3(l31;2 , .-3%Z “L” 2:2 We can use eliminaTion or' subsTiTuTion To solve a sysTern of Three equa’rions, jusT like we did wiTh a SysTem of Two equaTions. d)x+2y-3z=2 Solving a System of Three Equations using Elimination: Step 1: Write each equation in standard form Ax + By+ 62 = D Step 2: Choose a pair of equations and add them to eliminate a variable. Step 3: Choose another pair of equations and add to eliminate the same variable as in step 2. Step 4: Solve the resulting system of two equations for both variables. Step 5'. Substitute the values of the two known variables into any of the original equations and solve for the third variable. AAA®+©‘ HWproblem#5: G) x—y+z:-4 @XﬂY‘lEf'q ©3x+2y~zz5 ©3¥+2v—Z—5 ©~2x+3y-z=15 @qx W ..—_ \ é—rnuH-iplwbﬁ ®*8¥'2\{: Homework: p. 233 #1-16 Now (Julio @ J‘@ ...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

4.2 Notes (filled in) - 4.2 Solving Systems of EquaTions in...

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

View Full Document
Ask a homework question - tutors are online