Create an equivalent system of equations using the sum of the system and the first equation
-3x + y = 12
x + 3y = 6
a.-3x + y = 12
- 2x + 4y = 18
b.-3x+y=12
-3x + 4y = 18
c -3x+y = 12
x + 4y = 18
d.-3x+y=12
-2x + 4y = 6

Using the equation of the sum of the system of equations and the first equation of the system, the equivalent system of equations is:

-3x + y = 12

-2x + 4y = 18

(Option A)

Given the system of equations:

Add Eqn. 1 and Eqn. 2 together:

-3x + y = 12

x + 3y = 6 (ADD)

-2x + 4y = 18

Therefore, using the equation of the sum of the system of equations and the first equation of the system, the equivalent system of equations is:

-3x + y = 12

-2x + 4y = 18

(Option A)

Learn more about equivalent system of equations on:

link

Step-by-step explanation:

ddd

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: