Two lines, A and B, are represented by the following equations: Line A: y = x − 1
Line B: y = −3x + 11

Which of the following options shows the solution to the system of equations and explains why? (4 points)

a
(3, 2), because the point does not lie on any axis

b
(3, 2), because one of the lines passes through this point

c
(3, 2), because the point lies between the two axes

d
(3, 2), because both lines pass through this point

The solution to the system of equations is (3, 2) and because both lines pass through this point.

Hence, option D is correct.

Step-by-step explanation:

Given the system of equations

Line A: y = x − 1

Line B: y = −3x + 11

Arrange equation variables for elimination

subtracting the equations

solving 4x = 12 for x

divide both sides by 4

Simplify

For y = x − 1, substutute x = 3

y = x-1

y = 3 - 1

y = 2

Thus,

(x, y) = (3, 2)

Therefore,

The solution to the system of equations is (3, 2) and because both lines pass through this point.

Hence, option D is correct.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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