Mathematics, 29.01.2021 15:20 jojosiwa6

Giving 40 points

Solve each system by substitution

Giving 40 points
Solve each system by substitution

Answers: 3

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Answers

Answer from: ProAtWork7

Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

-4x - y = 19 -------- Equation ( i ) x - 2y = -7 ----------- Equation ( ii )

$\underline{ \underline{ \text{To \: find}}} :$

Value of x & y

$\underline {\underline{ \text{ Solution}}} :$

From equation ( i ) :

-4x - y = 19

-y = 19 + 4x

-y = - ( -19 - 4x )

y = -4x - 19 ------ Equation ( iii )

Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :

$\tt{x - 2y = - 7 }$

⇾ $\tt{x - 2( - 4x - 19) = - 7}$

⇾ $\tt{x + 8x + 38 = - 7}$

⇾ $\tt{9x = - 7 - 38}$

⇾ $\tt{9x = - 45}$

⇾ $\tt{x = \frac{ - 45}{9}}$

⇾ $\boxed{ \tt{x = - 5}}$

Substituting the value of x in equation ( i ) , we get :

⇾ $\tt{ - 5 - 2y = - 7}$

⇾ $\tt{ - 2y = - 7 + 5}$

⇾ $\tt{ - 2y = - 2}$

⇾ $\tt{y = \frac{ - 2}{ - 2}}$

⇾ $\boxed{ \tt{y = 1}}$

The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .

$\red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}$

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer from: Quest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

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

(

100

)

87.12

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

87.12

(

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

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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Giving 40 points

Solve each system by substitution
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