Answer: The correct equation is (B) [tex]5-x=7-2x.[/tex]
Step-by-step explanation: We are given to select the correct equation that could be the result of using the comparison method to solve the following system :
[tex]x+y=5~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x+y=7~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Since the equation should be in the variable x, so we must compare the values of y.
From equations (i) and (ii), we have
[tex]x+y=5~~~~~\Rightarrow y=5-x~~~~~~~~~~~~~~~~~(iii)\\\\2x+y=7~~~~\Rightarrow y=7-2x~~~~~~~~~~~~~~~~(iv)[/tex]
Comparing the values of y from equations (iii) and (iv), we get
[tex]5-x=7-2x.[/tex]
Thus, the correct equation is [tex]5-x=7-2x.[/tex]
Option (B) is CORRECT.
