Apair of equations is shown below: y = 3t − 5 y = 6t − 8 part a: explain how you will solve the pair of equations by substitution or elimination. show all the steps and write the solution. (5 points) part b: if the two equations are graphed, at what point will the lines representing the two equations intersect? explain your answer. (5 points)

A)  t = 1, y = -2 is the solution of the given system.

B) The lines representing the two equations will intersect  at (1,-2).

Step-by-step explanation:

Here, the given set of equation are:

y = 3 t -5

and y = 6 t -8

A) Solving the given equations by SUBSTITUTION METHOD, we get

Substitute y = 3t -5 in the equation (2):

we get :  y = 6 t -8  ⇒    3t -5   = 6 t -8

⇒ -5 + 8  = 6t - 3t

or, 3 t = 3

or, t = 3/3  =1

Now, if t = 1, y = 3t -5

                       = 3(1) - 5 = 3 - 5 = -2

Hence, for  t = 1, y = -2 is the solution of the given system.

B) Now, if we plot the graph of both the equations.

The intersection point of the lines of graph is the point which will satisfy both the equations.

And such point from above part is (1,-2).

Hence, the lines representing the two equations will intersect  at (1,-2).

yes

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: