If (l − m)/(7 − 2) = l/7 − m/2, which of the following statements must

Question

If (l − m)/(7 − 2) = l/7 − m/2, which of the following statements must be true?

A. l = m
B. l = −m
C. 2l = −7m
D. 3l = −19m
E. 4l = −21m

KarishmaB · Accepted Answer

\frac{(l − m)}{(7 − 2)} = \frac{l}{7} − \frac{m}{2}

\frac{(l - m)}{5} = \frac{l}{5} - \frac{m}{5} = \frac{l}{7} - \frac{m}{2}

\frac{l}{5} - \frac{l}{7} = \frac{m}{5} - \frac{m}{2}

l*(\frac{2}{35}) = m*(\frac{-3}{10})

4l = -21m

Answer (E)

ArinK2101 · Answer

Can you please explain the second last part.. how did you go from l*(2/35) = m * (-3/10) to the final answer?

Bunuel · Answer

l*(\frac{2}{35}) = m*(\frac{-3}{10})

Cross-multiply to get"

20l = -105m

Divide by 5:

4l = -21m

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