What value of b will cause the system to have an infinite number of solutions? y = 6x – b –3x + startfraction one-half endfractiony = –3 b =

The answer is 6.

Step-by-step explanation:

Equation A:

y=6x-b

Equation B:

-3x+1/2y= -3

If the system of equation has infinite number of solutions then Equation A is equal to Equation B.

We will take equation B and move all the values to the R.H.S and isolate variable y

-3x+1/2y = -3

1/2y= -3 +3x

Multiply both sides by 2

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

y = -6+6x

y = 6x-6 Equation B(I)

Now equate Equation A and Equation B(I)

6x-b = 6x-6

Subtract 6x from both sides.

6x-6x-b = 6x-6x - 6

-b = -6

Negative sign will be cancelled out by each other.

b = 6

Thus the answer is 6...

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours