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a_sh-v [17]
3 years ago
11

What is the answer when doing substitution for x=-5y-2, and -8x-9y=264

Mathematics
1 answer:
Artemon [7]3 years ago
4 0
Answer: x= -42, y=8 >>> (-42,8)
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40 POINTS FOR THIS ALGEBRA WORD PROBLEM
skelet666 [1.2K]

Answer:

9

Step-by-step explanation:

let the number

=

x

then 4 times the number

=

4

x

and 4 times the number increased by 15

=

4

x

+

15

also 6 times the number

=

6

x

and 3 less than 6 times the number

=

6

x

−

3

equating the two expressions gives the equation

4

x

+

15

=

6

x

−

3

←

solve for x

subtract 6x from both sides

4

x

−

6

x

+

15

=

6

x

−

6

x

−

3

⇒

−

2

x

+

15

=

−

3

subtract 15 from both sides

−

2

x

+

15

−

15

=

−

3

−

15

⇒

−

2

x

=

−

18

divide both sides by

−

2

−

2

x

−

2

=

−

18

−

2

⇒

x

=

9

As a check

(

4

×

9

)

+

15

=

36

+

15

=

51

(

6

×

9

)

−

3

=

54

−

3

=

51

⇒

the number is 9

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The answer is is 27.72
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