Given the equation:
[tex]-\frac{3}{4}y-\frac{1}{7}y=700[/tex]To determine the value of y, you have to simplify both like terms first, that is to subtract -1/7y from -3/4y
[tex]-\frac{25}{28}y=700[/tex]Next is to divide both sides of the equation by -25/28, which is the same as multiplying them by -28/25
[tex]\begin{gathered} -\frac{25}{28}y\cdot(-\frac{28}{25})=700\cdot(-\frac{28}{25}) \\ y=-784 \end{gathered}[/tex]The error of the student is that he multiplied both sides of the equation by a positive fraction and did not use the reciprocal fraction. Correct option is A. He multiplied 700 by 25/28
