Determine the values of m and n for which the system: 2x + 3y = 7 and (m + n)x + (2m - n)y = 21 has infinitely many solu...

Type: MCQ • Marks: 1

Determine the values of m and n for which the system: 2x + 3y = 7 and (m + n)x + (2m - n)y = 21 has infinitely many solutions.

A. m = 3, n = 1

B. m = 5, n = 1

C. m = 4, n = 2

D. m = 2, n = 4

Explanation

For infinite solutions: 2/(m+n) = 3/(2m-n) = 7/21 = 1/3. Thus m + n = 6 and 2m - n = 9. Adding gives 3m = 15 => m = 5, n = 1.

Want to attempt the full test series with a timer and instant score? Purchase the package to unlock the complete test. Purchase Now

UP TGT Mathematics

This page is indexed for search so students can find questions directly from Google.

Welcome to TutorWale!