Multiple choice

Solve the following equations and check your results. If $2y+\cfrac{5}{3} = \cfrac{26}{3}-y$ and $y = \cfrac{7}{m}$, then $m$ is equal to

  1. $0$
  2. $1$
  3. $2$
  4. $3$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

2y + 5/3 = 26/3 - y. Adding y to both sides and subtracting 5/3 gives 3y = 21/3 = 7. So y = 7/3. Given y = 7/m, m must be 3.

AI explanation

Add y to both sides and subtract five thirds from twenty six thirds to get 3y equals 21 divided by 3, which is 7. Dividing by 3 gives y equals seven thirds, and substituting this into y equals 7 over m gives seven thirds equals 7 over m. Solving for m yields m equals 3.

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