Consider the following three systems of linear equations. System A -9x-5y=-2 [A1] 4x+3y=-3 [A2] System B -27x-15y=-6 [B1] 4x+3y=-3 [B2] System C -7x=-21 [C1] 4x+3y=-3 [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. (a) How do we transform System A into System B? DO 8 08

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
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Consider the following three systems of linear equations.
System B
-27x-15y=-6 [B1]
4x+3y=-3 [B2]
System A
-9x-5y=-2 [A1]
4x+3y=-3 [A2]
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.
(a) How do we transform System A into System B?
ox Equation [A1]
X
Ox Equation [A2]
X
Equation [B1]
Equation [B2]
O× Equation [A1] + Equation [A2]
X
0 x Equation [A2] + Equation [A1]
0°
O 0 x Equation [B1]
0 x Equation [B2]
0 X Equation [B1] + Equation [B2]
-
-
(b) How do we transform System B into System C?
Equation [C1]
x Equation [B2] + Equation [B1]
Equation [C2]
-
System C
-7x=-21 [C1]
4x+3y=-3 [C2]
-
Equation [B2]
Equation [B1]
Equation [C2]
Equation [C1]
8 08
X
Transcribed Image Text:Consider the following three systems of linear equations. System B -27x-15y=-6 [B1] 4x+3y=-3 [B2] System A -9x-5y=-2 [A1] 4x+3y=-3 [A2] 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. (a) How do we transform System A into System B? ox Equation [A1] X Ox Equation [A2] X Equation [B1] Equation [B2] O× Equation [A1] + Equation [A2] X 0 x Equation [A2] + Equation [A1] 0° O 0 x Equation [B1] 0 x Equation [B2] 0 X Equation [B1] + Equation [B2] - - (b) How do we transform System B into System C? Equation [C1] x Equation [B2] + Equation [B1] Equation [C2] - System C -7x=-21 [C1] 4x+3y=-3 [C2] - Equation [B2] Equation [B1] Equation [C2] Equation [C1] 8 08 X
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