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What value of b will cause the system to have an infinite number of solutions? A system of equations. y equals 6 x plus b. negative 3 x plus StartFraction one-half EndFraction y equals negative 3.

User Sathesh S
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2 Answers

7 votes

Answer:

The answer to this question is -6.

Hope this helps!!! :)

User Jimiyash
by
8.1k points
5 votes

Answer:


b=-6

Explanation:

we have


y=6x+b ----> equation A


-3x+(1)/(2)y=-3 -----> equation B

we know that

If equation A is the same of equation B, then the system of equations will have infinite solutions

Convert equation B in slope intercept form

Isolate the variable y

Multiply by 2 both sides to remove the fractions


-6x+y=-6

Adds 6x both sides


y=6x-6 -----> equation C (slope intercept form)

Equate equation A and equation C and solve for b


6x+b=6x-6


b=-6

User Jpnavarini
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