Question

The pair of equations 3x+4y=18 and 4x+16/3y=24 has (a) infinite solutions (b) unique solution (c) no solution (d) cannot say anything please tell the answer its urgent

Answer 1

Given: The pair of equations 3x + 4y = 18 and 4x + 16/3y = 24

To find: Choose the correct option:

              (a) infinite solutions

              (b) unique solution

              (c) no solution

              (d) cannot say anything

Solution:

• Now we have given two equations:

                  3x + 4y = 18 and 4x + 16/3y = 24

• Lets check for infinitely many solutions, the condition is:

                  a1/a2 = b1/b2 = c1/c2

• Here a1 = 3, a2 = 4, b1 = 4, b2 = 16/3, c1 = 18, c2 = 24

• So comparing it, we get:

                  3/4 = 4/(16/3) = 18/24

                  3/4 = 4x3/16 = 18/24

                  3/4 = 3/4 = 3/4

• So the condition satisfies.

• The equations are having infinitely many solutions.

Answer:

             So the given pair has (a) infinitely many solutions.

Answer 2

Answer:

(a) infinitely many solutions