What value of b will cause the system to have an infinite number of solutions? y = 6x – b –3x + y = –3 b = 2 4 6 8
Accepted Solution
A:
The correct question is What value of b willcause the system to have an infinite number of solutions?Fory = 6x – b and -3x+(1/2)y=-3 we have thaty = 6x – b ---------> equation1-3x+(1/2)y=-3---------> -6x+y=-6------ > -2x+y=-3------- > y=6x-6y=6x-6------>equation 2 we know thatFor the system to have an infinite number of solution,equation 1 must be equal to equation 2so6x – b=6x-6-------> 6x-6x=b-6---------> b=6 the answer is b=(6)