Y= 5x+32 , y=-4x-22 how to solve the system of equations

Step-by-step explanation:

y = 5x + 32

y = -4x - 22

u can solve this by substitutionu can start with either equationi will start with the first oney = 5x + 32so sub in 5x + 32 in for y, back into the second equation.

y = -4x - 22

5x + 32 = -4x - 22add 4x to both sides

5x + 4x + 32 = -22 subtract 32 from both sides

5x + 4x = -22 - 32 combine like terms

9x = - 54 divide by 9

x = -54/9

x = -6

now we sub -6 in for x in either of the original equations to find y

y = 5x + 32

y = 5(-6) + 32

y = -30 + 32

y = 2

lets check it..  (-6,2)

y = 5x + 32                                y = - 4x - 22

2 = 5(-6) + 32                            2 =  -4(-6) - 22                  

2 = -30 + 32                               2 = 24 - 22

2 = 2 (correct)                            2 = 2 (correct)

yep, ur solution is : x = -6 and y = 2or (-6,2)

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:

b and c

step-by-step explanation: