How do you substitute 3x-12y=-6 and x-4=-8?

x - 4 = -8      add 4 to both sides

x = -4

Put the value of x to the first equation 3x - 12y = -6:

3(-4) - 12y = -6

-12 - 12y = -6         add 12 to both sides

-12y = 6       divide both sides by (-12)

y = - 0.5

New question:

x - 4y = -8       add 4y to both sides

x = 4y - 8

Substitute it to the first equation:

3(4y - 8) - 12y = -6       use distributive property

(3)(4y) + (3)(-8) - 12y = -6

12y - 24 - 12y = -6

-24 = -6     FALSE

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:

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