X- y = 3 x + y = 5 which of the following systems is equivalent to the given system? 2x - y = 18 and x + 2y = 10 4x - 3y = 18 and x + 2y = 10 2x - 3y = 3 and x + 2y = 5

None of the systems is equivalent to the given system

Step-by-step explanation:

we have the given system

---> equation A

---> equation B

Solve the system

Adds equation A and equation B

Find the value of y

------>

The solution of the given system is the point (4,1)

we know that

If a system is equivalent to the given system, then the solution of both systems must be the same

Verify each case

case A) 2x - y = 18 and x + 2y = 10

---> equation A

---> equation B

Substitute the value of x and y in both equations and then compare the results

equation A

----> is not true

therefore

the system is not equivalent to the given system

case B) 4x - 3y = 18 and x + 2y = 10

---> equation A

---> equation B

Substitute the value of x and y in both equations and then compare the results

equation A

----> is not true

therefore

the system is not equivalent to the given system

case C) 2x - 3y = 3 and x + 2y = 5

---> equation A

---> equation B

Substitute the value of x and y in both equations and then compare the results

equation A

----> is not true

therefore

the system is not equivalent to the given system

312312

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: