Consider the following three systems of linear equations.
System B
System A
-5x-4y=9 [A1]
9x+2y=15 [A2]
13x 39 [B1]
9x+2y=15 [B2]
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.
Ox Equation [A1]
X
o I
(a) How do we transform System A into System B?
1
Equation [B1]
X Equation [A2] → Equation [B2]
Ox Equation [A1] + Equation [A2]
X
o I X Equation [A2] + Equation [A1]
System C
x=3
[C1]
9x+2y=15 [C2]
0 X Equation [B1] Equation [C1]
0 X Equation [B2] → Equation [C2]
X Equation [B1] + Equation [B2]
0 X Equation [B2] + Equation [B1]
(b) How do we transform System B into System C?
- Equation [B1]
Equation [B2]
-
Equation [C2]
Equation [C1]
808
X