Mathematics: What value of b will cause the system to have an infinite number of solutions? y = 6x – b –3x + y = –3

What value of b will cause the system to have

demetriascott20

07.01.2022

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

$\frac{a}{p}=\frac{b}{q}=\frac{c}{r}\\\\ \frac{6}{-3}=\frac{-1}{1}=\frac{b}{-3}\\\\{\text{as}} \frac{6}{-3}\neq\frac{-1}{1}$

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

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hammackkatelyn60

25.06.2020

the answer is D!

Step-by-step explanation:

I took that quiz :)

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