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

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laurenkropp laurenkropp · Answer 1 · 2019-06-27T06:44:02+02:00

The correct question is

What value of b will

cause the system to have an infinite number of solutions?

For

y = 6x – b and -3x+(1/2)y=-3

we have that

y = 6x – b ---------> equation

1

-3x+(1/2)y=-3---------> -6x+y=-6------ > -2x+y=-3------- > y=6x-6

y=6x-6------>

equation 2

we know that

For the system to have an infinite number of solution,

equation 1 must be equal to equation 2

so

6x – b=6x-6-------> 6x-6x=b-6---------> b=6

the answer is b=(6)

abidemiokin abidemiokin · Answer 2 · 2022-03-28T11:34:38+02:00

The value of b will cause the system to have an infinite number of solutions is 6

For the system of equations to have an infinite number of solutions, the system of equations must be similar

Given the system of equations:

y = 6x – b and -3x+(1/2)y= -3

y = 6x – b .................... 1

From the secind equation;

-3x+(1/2)y=-3

-6x+y=-6

-2x+y=-3

y=6x-6

Equate with equation 1 to have:

6x - 6 = 6x - b

b = 6

Hence the value of b will cause the system to have an infinite number of solutions is 6

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