Question

please answer this!
FIND the values of a and b if the system if equations has infinitely many solutions.

Answer 1

infinetly many solutions Means ax1/ax2=bx1/bx2=cx1/cx2

Answer 2

Answer:

a = 4 and b = 8

Step-by-step explanation:

2x + 3y = 7

2ax + ay = 28 - by

=> 2ax + ay + by = 28

=> 2ax + (a + b)y = 28

=> a1/a2 = b1/b2 = c1/c2

=> 2/2a = 3/a+b = 1/4

=> a + b = 12                           -------- (1)

=> 2a = 8

      a = 4

=> substitute a = 4 in (1)

      4 + b = 12

      b = 12 - 4

      b = 8

Hope you are satisfied with the answer and  the solution to the question :)