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lisabon 2012 [21]
3 years ago
13

What is the solution of the system of equations? y = –3x + 8 y = –5x – 2

Mathematics
2 answers:
jekas [21]3 years ago
6 0
y=-3x+8 \\ y=-5x-2 \\  \\ -3x+8=-5x-2 \\ -3x+5x=-2-8 \\ 2x=-10 \\ x=- \frac{10}{2}  \\ x=-5 \\ y=-3(-5)+8=15+8=23  \\ \\ \boxed{-5,23}
xxMikexx [17]3 years ago
4 0
y=-3x+8 \\ y=-5x-2 \\  \\ -3x+8=-5x-2 \\ 2x=-10 \\ x= \frac{-10}{2} \\ x=-5 \\  \\ y=-3(-5)+8 \\ y=15+8 \\  y=23\\  \\ \boxed{(-5,23)}
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Phil had 93 dollars, and his sister owed 10 dollars to her friend. How much should Phil give to his sister for each of them to h
Olegator [25]

Answer:

Phil should have $41.5 and Phil should give $51.5 to her sister.

Step-by-step explanation:

Given that,

amount of money Phil have = $93

amount of money Phil's sister owed to her friend = 10

$10 of the $93 is going to his sister's friend; that leaves $83 for Phil and his sister.

If they are to finish with the same amount, then each should have half of the Phil's money after she paid $10

So,

83/2

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41.5+10

= 51.5

So Phil should have $41.5 and Phil should give $51.5 to her sister.

8 0
3 years ago
Out of 25 children, 10 children like science subject and 15 children like English. 7 children like both the subjects.
sesenic [268]
<h2>Question:</h2>

Out of 25 children, 10 children like science subject and 15 children like English. 7 children like both the subjects. How many students don't like any subject?

<h2>Answer:</h2>

7 children.

<h2>Step-by-step explanation:</h2>

This can be solved by drawing a Venn diagram. The diagram is attached to this response.

<em>Given</em>:

Total number of children = 25

Number that like both subjects = 7

Number that like science = 10

Number that like English = 15

<em>Unknown</em>

Let the number of children that like science alone be s

Let the number of children that like English alone be e

Let the number of children that do not like any subject be x

s = Number that like science - number the like both subjects.

s = 10 - 7

s = 3

e = Number that like English - number the like both subjects.

e = 15 - 7

e = 8

Total number of children = Number that like science alone + Number that like English alone + Number that like both subjects + Number that do not like any subject.

<em>This implies that;</em>

25 = 3 + 8 + 7 + x

<em>Solving for </em><em>x</em><em> gives;</em>

25 = 18 + x

x = 25 - 18

x = 7

Therefore, 7 children do not like any subject.

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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