Consider the following three systems of linear equations. System A System B -2x+3y=6 [A1] -2x+3y=6 [B1] -5x+5y=5 [A2] x-4y=-13 [B2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. means the expression on the left becomes the expression on the right. The arrow (a) How do we transform System A into System B? Ox Equation [A1] X ox Equation [A2] X - Equation [B1] Ox Equation [B1] X O 0 x Equation [B2] Equation [B2] Ox Equation [A1] + Equation [A2] X ox Equation [A2] + Equation [A1] X System C -5y=-20 [C1] x-4y=-13 [C2] Equation [C1] (b) How do we transform System B into System C? Equation [C2] Ox Equation [B1] + Equation [B2] X Equation [B2] O 0 x Equation [B2] + Equation [B1] - Equation [B1] Equation [C2] Equation [C1] 8 08 X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 29HP
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Question
Consider the following three systems of linear equations.
System B
System C
-2x+3y=6 [B1] -5y=-20 [1]
x-. = -13 [B2]
x-4y=-13 [C2]
System A
-2x+3y=6 [A1]
-5x+ 5y = 5 [A2]
Answer the questions below.
For each, choose the transformation and then fill in the blank with the correct number.
means the expression on the left becomes the expression on the right.
The arrow
(a) How do we transform System A into System B?
o
o
x Equation [A1] Equation [B1]
x Equation [A2] → Equation [B2]
o
ㅇㅁ x Equation [A2] + Equation [A1] Equation [B1]
x Equation [A1] + Equation [A2]
-
Equation [B2]
(b) How do we transform System B into System C?
o [ X Equation [B1]
o D x Equation [B2]
o D X Equation [B1] + Equation [B2]
o x Equation [B2]+ Equation [B1]
Equation [C1]
Equation [C2]
Equation [C2]
Equation [C1]
8 08
X
Transcribed Image Text:Consider the following three systems of linear equations. System B System C -2x+3y=6 [B1] -5y=-20 [1] x-. = -13 [B2] x-4y=-13 [C2] System A -2x+3y=6 [A1] -5x+ 5y = 5 [A2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. means the expression on the left becomes the expression on the right. The arrow (a) How do we transform System A into System B? o o x Equation [A1] Equation [B1] x Equation [A2] → Equation [B2] o ㅇㅁ x Equation [A2] + Equation [A1] Equation [B1] x Equation [A1] + Equation [A2] - Equation [B2] (b) How do we transform System B into System C? o [ X Equation [B1] o D x Equation [B2] o D X Equation [B1] + Equation [B2] o x Equation [B2]+ Equation [B1] Equation [C1] Equation [C2] Equation [C2] Equation [C1] 8 08 X
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