Answer: The correct equations are (A) 2.3x - 10.4 = - 2.9x, (B) 5.2x - 1.6 = 8.8 and (E) 2.3x = 10.4 - 2.9x.
Step-by-step explanation: The given equation that Alicia is solving is
[tex]2.3x-1.6=8.8-2.9x~~~~~~~~~~~~(i)[/tex]
We are to select the correct equations from the given options that represent possible ways to begin solving for 'x'.
We have from equation (i) that
[tex]2.3x-1.6=8.8-2.9x\\\\\Rightarrow 2.3x-1.6-8.8=-2.9x\\\\\Rightarrow 2.3x-10.4=-2.9x.[/tex]
So, option (A) is correct.
Also, from equation (i),
[tex]2.3x-1.6=8.8-2.9x\\\\\Rightarrow 2.3x+2.9x-1.6=8.8\\\\\Rightarrow 5.2x-1.6=8.8.[/tex]
So, option (B) is also correct.
Again, equation implies
[tex]2.3x-1.6=8.8-2.9x\\\\\Rightarrow 2.3x=1.6+8.8-2.9x\\\\\Rightarrow 2.3x=10.4-2.9x.[/tex]
So, option (E) is correct.
Thus, (A), (B) and (E) are the correct options.
