Solve 3k/4 = 9.

Solve 3k/4 = 9.

• A. 3
• B. 12
• C. 9/4
• D. 36

Answer: (B)

Solving a linear equation by clearing fractions to isolate the variable. To get k by itself, clear the denominator first: multiply both sides by 4, which gives 3k = 36. Then divide both sides by 3 to solve for k, yielding k = 12. You can also see it directly by multiplying the equation by 4/3: k = 9 × (4/3) = 12. Quick check: substitute back, 3×12/4 = 36/4 = 9, which confirms the solution. The other values don’t work because they don’t satisfy the equation when substituted.

Solving a linear equation by clearing fractions to isolate the variable. To get k by itself, clear the denominator first: multiply both sides by 4, which gives 3k = 36. Then divide both sides by 3 to solve for k, yielding k = 12. You can also see it directly by multiplying the equation by 4/3: k = 9 × (4/3) = 12. Quick check: substitute back, 3×12/4 = 36/4 = 9, which confirms the solution. The other values don’t work because they don’t satisfy the equation when substituted.