Question

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

y = 6x – b

–3x + y = –3

Answer 1

Solving for b by simplifying both sides of the equation, then isolating the variable.

b = −y + 6x

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Choosing three values for x and substitute in to find the corresponding y values.

(0,−3) , (1,0) , (2,3)

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I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

Answer 2

Explanation:

y = 6x -b

and -3x +y =-3

on simplifying equation 2 ,we have y = 3x -3

System of equation has infinite number of solution if one equation can be obtained by multiplying by suitable non zero number

if we multiply equation by 2 we get y =6x -6

Since coefficient of x and y is same therefore comparing the value of x b with constant in another equation which is 6 .

therefore b =6