O MODULE 5: REASONING WITH EQUATIONS Identifying the operations used to create equivalent systems of. Consider the following three systems of linear equations. System A System B System C бх -5y%3D14 [A1] 3y=6 [B1] y=2 [C1] 3x-4y=4 [A2] 3х-4у 3 4 [В2] 3х- 4y%3D4 [C2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow () means the expression on the left becomes the expression on the right. How do we transform System A into System B? U x Equation [A1] Equation [B1] U x Equation [A2] Equation [B2] x Equation [A1] + Equation [A2] Equation [B2] O x Equation [A2] + Equation [A1] Equation [B1] How do we transform System B into System C? U x Equation [81] Equation [C1] x Ecuation (82] Equation [C2] Equation [C2] - U x Ecuation [B1] Equation [B2] rion (e1l - Fauation ICil

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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O MODULE 5: REASONING WITH EQUATIONS
Identifying the operations used to create equivalent systems of.
Consider the following three systems of linear equations.
System A
System B
System C
6x-5y 14 [A1]
3y 6 [B1]
y=2
[C1]
3x-4y=4 [A2]
3х-4y 3 4 [B2]
3x-4y=4 [C2]
Answer the questions below.
For each, choose the transformation and then fill in the blank with the correct number.
The arrow (-) means the expression on the left becomes the expression on the right.
How do we transform System A into System B?
x Equation [A1] Equation [B1]
x Equation [A2] Equation [B2]
U x Equation [A1] + Equation [A2] - Equation [B2]
U x Equation (A2] + Equation [A1] - Equation (B1]
How do we transform System B into System C?
x Ecuation [B1] Equation [C1]
U x Ecuation (82) - Equation [C2]
x Ecuation [B1] - Equation [B2) - Equation (C2)
U x Ecuat on [B2 - Equation [B1] - Equation [Ci]
Explanation
Check
O 20
o search
Dlo
III
Transcribed Image Text:O MODULE 5: REASONING WITH EQUATIONS Identifying the operations used to create equivalent systems of. Consider the following three systems of linear equations. System A System B System C 6x-5y 14 [A1] 3y 6 [B1] y=2 [C1] 3x-4y=4 [A2] 3х-4y 3 4 [B2] 3x-4y=4 [C2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow (-) means the expression on the left becomes the expression on the right. How do we transform System A into System B? x Equation [A1] Equation [B1] x Equation [A2] Equation [B2] U x Equation [A1] + Equation [A2] - Equation [B2] U x Equation (A2] + Equation [A1] - Equation (B1] How do we transform System B into System C? x Ecuation [B1] Equation [C1] U x Ecuation (82) - Equation [C2] x Ecuation [B1] - Equation [B2) - Equation (C2) U x Ecuat on [B2 - Equation [B1] - Equation [Ci] Explanation Check O 20 o search Dlo III
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