Effy · 2020-01-23 · iengyboatfors friend xtSy 1650 Effy Ye Hdwn Subtracting Xt5y 16.50 x y 4.50...
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16 5.3 pgs. 247-252 EQ: How can you use elimination to solve a system of linear equations? Date: Questions/Main Points You purchase a drink and a sandwich for $4.50. Your friend purchases a drink and five sandwiches for $16.50. You want to determine the price of a drink and the price of a sandwich. a. 3 6 3 0 x y x y = + = b. 2 6 2 2 x y x y + = = c. 2 7 2 5 x y x y = + = 2 7 Equation 1 5 17 Equation 2 x y x y + = + = a. Can you eliminate a variable by adding or subtracting the equations as they are? If not, what do you need to do to one or both equations so that you can? b. Solve the system individually. Then exchange solutions with your partner and compare and check the solutions. Exploration 1: Exploration 2 Exploration 3 423 Subtract equations or Mutt by what's cost of drink y cost of sandwich the same you xty 4 so x ty 4.50 iengyboatfors friend xtSy 16 50 Effy Ye Hdwn Subtracting Xt5y 16.50 x y 4.50 44 12 sandwich Uy 12 y 3C drink g 3 1.50 3 Xt 3 4.50 so x 1 Add the equations Some coefficients are t Opposites SO Lex 6 44 8 zx z when adding X I 2 I eqel together and 3 8 0 estqu 2 9 6 2 x zy 5 eqd 3C ty O 2123 4 6 it zy S terms are z y o 41 9 6 29 6 eliminated y 3 8 2 y z 1 3 2,2 C 1,3 Multiplying Equations Add subtract 3 69 24 x 4y lo dYfttmYn9a d Mutt 2nd equi by 2 to cancel s could also multiply 1st equ.by 5 to cancel y's 2 9 7 2 9 7 5 xty 10x 5y 35 1 59 17 2x toy 34 54 1 X try 17 2 ax 18 ay 27 X 2 y 3 zt5y M 2 3 7 2 42 c2 Candies By cancels out y's first
Transcript of Effy · 2020-01-23 · iengyboatfors friend xtSy 1650 Effy Ye Hdwn Subtracting Xt5y 16.50 x y 4.50...
16
5.3 pgs. 247-252 EQ: How can you use elimination to solve a system of linear equations? Date:
Questions/Main Points
You purchase a drink and a sandwich for $4.50. Your friend purchases a drink and five sandwiches for $16.50. You want to determine the price of a drink and the price of a sandwich.
a. 3 6
3 0x yx y =
+ =
b. 2 62 2x yx y+ =
=
c. 2 72 5
x yx y =
+ =
2 7 Equation 15 17 Equation 2
x yx y
+ =
+ =
a. Can you eliminate a variable by adding or subtracting the equations as they are? If not, what do you need to do to one or both equations so that you can?
b. Solve the system individually. Then exchange solutions with your partner and compare and check the solutions.
Exploration 1:
Exploration 2
Exploration 3
423
Subtract equations orMutt by
what's costof drink y costof sandwichthesame
you xty 4 so x ty 4.50iengyboatfors friend xtSy 1650 Effy Ye Hdwn
Subtracting Xt5y 16.50x y 4.50 44 12sandwichUy 12 y3C drinkg 31.50 3 Xt 3 4.50 so x 1
Add the equationsSomecoefficients are tOppositesSO Lex 6 44 8 zx zwhenadding X I 2 I
eqel together and 3 8 0 estqu 2 9 6 2 x zy 5eqd 3C ty O 21234 6 it zy S
terms are z y o 419 6 29 6
eliminated y 3 8 2 y z1 3 2,2 C1,3
Multiplying Equations
Add subtract3 69 24 x 4y lo dYfttmYn9a d
Mutt2ndequiby 2 tocancel s couldalso multiply1stequ.by 5 to cancely's
2 9 7 2 9 7 5 xty 10x 5y 35
1 59 17 2x toy 34 54 1 X try 172 ax 18
ay 27 X 2y 3 zt5y M2 3 7
2 42 c2 Candies By cancelsouty'sfirst
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5.3 pgs. 247-252 EQ: How can you use elimination to solve a system of linear equations? Date:
Questions/Main Points
How can you use elimination to solve a system of linear equations?
When can you add or subtract the equations in a system to solve the system? Justify your answers with examples.
When do you have to multiply first? Justify your answers with examples.
In Exploration 3, why can you multiply an equation in the system by a constant and not change the solution of the system? Explain your reasoning.
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