Solve by the substitution method

2x + 9y=41
- 4x + y=13

x=-2, y=5. (-2, 5).

Step-by-step explanation:

2x+9y=41

-4x+y=13

2(2x+9y)=2(41)

-4x+y=13

4x+18y=82

-4x+y=13

19y=95

y=95/19

y=5

2x+9(5)=41

2x+45=41

2x=41-45

2x=-4

x=-4/2=-2

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

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: