Question

What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + y = –3

Answer 1

The solution will be 6

Explanation:

Hope this helps

Answer 2

Answer with explanation:

A system of equation will have infinite number of solution

if both the equation of line are coincident.

6 x - y=b

-3 x + y = -3

Line, ax + by=c

p x + q y =r,

are said to be coincident , if

`(a)/(p)=(b)/(q)=(c)/(r)\\\\ (6)/(-3)=(-1)/(1)=(b)/(-3)\\\\{\text{as}} (6)/(-3)\\eq(-1)/(1)`

So,there is no real value of b for which , we can make the system of equation coincident or infinite umber of solutions.