What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?

x = -3 and y = 17

Step-by-step explanation:

The given system of equations is

4x + y = 5 (1)

and 3x + y = 8 (2)

Now we subtract equation (2) from equation (1)

(4x+y) - (3x+y) = 5 - 8

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

x = -3

Now we put x = -3 in equation (1)

4(-3) + y = 5

-12 + y = 5

       y = 5 + 12 = 17

Therefore, x = -3 and y = 17 is the solution of the given system of equations.

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: