Y= -3x+5,5x-4y=-3 solving system of equations by substitution

Step-by-step explanation:

5x-4y=-3

y=5x+3/4--(1)

y=-3x+5--(2)

compare the two equations

5x+3/4=-3x+5

5x+3=4(-3x+5)

5x+3=-12x+20

now add 12x on both sides

17x+3=20

now subtract 3 from both sides

17x=17

now divide 17 from both sides

x=1

plug this value of x on any one of the above 2 equation I am using (1)

y=5(1)+3/4

y=5+3/4

y=8/4

y=2

step-by-step explanation:

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