Mathematics, 25.08.2019 22:30 cragajjar2

Three times one number added to five times another number is 54. the second number is two less than the first. use a system of equations to find the numbers.
a.
7, 2
c.
8, 6
b.
8, 4
d.
10, 3

Answers: 1

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Answers

Let the first number be "x" and the second one "y"

Three times the first number is "3x" and five times the second number is "5y" and some of these is equalt to 54. So,

3x + 5y = 54

And if the second number is two less than the first, that means if we add 2 to the second number it will be equal to the first one, meaning ;

x = y+2

Now we have a system of equations. Let's solve.

$3x+5y=54\\ \\ x=y+2$

From the second equation we have x's value. Will plug it in the first equation.

$x=y+2\\ \\ 3\cdot (y+2)+5y=54\\ \\ 3y+6+5y=54\\ \\ 8y+6=54\\ \\ 8y=54-6\\ \\ 8y=48\\ \\ y=\quad \frac { 48 }{ 8 } \\ \\ y=6$

Now we have y's value. Let's plug it in one of the equations to find x.

$y=6\\ \\ x=y+2\\ \\ x=6+2\\ \\ x=8$

So, (x, y) = (8, 6)

Answer is (8,6)

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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