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Artyom0805 [142]
3 years ago
6

Solve the system using substitution m=4n+11 -6n+8m=36

Mathematics
2 answers:
olchik [2.2K]3 years ago
4 0
M=4n+11
-6n+8m=36

-6n + 8(4n+11) = 36
-6n + 32n + 88 = 36
26n = 36 - 88
26n = -52
n = -2

m = 4n+11 = 4(-2) + 11 = 3

Answer: (3, -2)
egoroff_w [7]3 years ago
3 0
-6n+8m=36, using m=4n+11 in this equation gives you:

-6n+8(4n+11)=36  perform indicated multiplications on left side

-6n+32n+88=36 combine like terms on left side

26n+88=36  subtract 88 from both sides

26n=-52  divide both sides by 26

n=-2, this makes m=4n+11 become:

m=4(-2)+11

m=-8+11

m=3

So the solution to the system of equations is:

n=-2 and m=3
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Paige lives 3 miles east of her school. Diego lives 8 miles wes of the school. Which expression represents the distance, in mile
True [87]

Answer: |3-(-8)|


Step-by-step explanation:

Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.

From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]

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Since distance is a positive quantity, thus

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5 0
3 years ago
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1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc
valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

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t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

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(c) Because of the existence of common difference

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t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

t_{27} = - 53

5 0
3 years ago
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