Solve the system of linear equations below by substitution. y = -2x + 6

-4x - 6y = 4

Group of answer choices

(-2, 10)

(5, -4)

(3, 0)

(0, 6)

Step-by-step explanation:

We are given the two equations:

We are asked to solve by substitution. Since we know that y is equal to -2x+6, so we can substitute the expression in for y in the second equation.

Now, solve for x by isolating the variable on one side of the equation.

First, distribute the -6 into the expression. Multiply each term in the parentheses by -6.

Combine like terms. There are 2 x terms that can be added.

36 is being subtracted from 8x. The inverse of subtraction is addition, so add 36 to both sides of the equation.

x is being multiplied by 8. The inverse of multiplication is division, so divide both sides by 8.

x is known, so we can find y using the first equation.

x is equal to 5, so substitute the value in.

Multiply first.

Add.

A solution is written as (x,y). So, the solution to this equation is (5, -4).

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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