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maks197457 [2]
3 years ago
8

How can I solve this system of equation with substitution u+6y=32 and u+3y=17

Mathematics
2 answers:
Ne4ueva [31]3 years ago
6 0

U+6y=32 U+3y=17

Solve U+6y=32 for u

Add -6y to both sides

U+6y-6y=32-6y U= -6y+32

Substitute -6y+32 for U in U+3y=17 U+3y=17 -6y+32+3y=17

Simplify both sides of the equation -3y+32=17

Add -32 to both sides -3y+32-32=17-32 -3y=-15

Divide both sides by -3 -3y/-3 = -15/-3 Y=5

Substitute 5 for y in U=-6y+32 U= -6y+32

U= (-6)(5)+32 u= -30 +32 U= 2

Answer : U= 2 and Y=5

I hope that's help and have a great night !

gayaneshka [121]3 years ago
5 0
U= 32 - 6y
u = 17 - 3y

Step 1
32 - 6y = 17 - 3y

Step 2
-6y + 3y = 17 - 32

Step 3
-3y = - 15

Step 4
3y = 15

Step 5
y = 15/3

Step 6
y = 5
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B

Step-by-step explanation:

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Of 100 students,65 are members of a mathematics club and 40 are members of a physics club. if 10 are members of neither club the
alexandr1967 [171]

a. 15 students are members of both clubs

b. 50 students only are members of the mathematics club

c. 25 students only are members of the physics club

Step-by-step explanation:

The given is:

  • There are 100 students
  • 65 are members of a mathematics club
  • 40 are members of a physics club
  • 10 are members of neither club

We need to find how many students are members of

a. both clubs?

b. only mathematics club

c. only physics club

∵ The total number of students = 100

∵ 10 are members of neither club

- Subtract 10 from 100 to find the members of the mathematics

  club or the physics club

∵ 100 - 10 = 90

∴ There are 90 members of the mathematics club or physics club

∴ n(mathematics or physics) = 90

∵ 65 students are members of a mathematics club

∵ n(mathematics) = 65

∵ 40 students are members of a physics club

∴ n(physics) = 40

∵ n(mathematics or physics) = n(mathematics) + n(physics) - n(both)

∴ 90 = 65 + 40 - n(both)

∴ 90 = 105 - n(both)

- Add n(both) to each side

∴ n(both) + 90 = 105

- Subtract 90 from each side

∴ n(both) = 15

∴ 15 students are members of both clubs

a. 15 students are members of both clubs

∵ 65 students are members of the mathematics club

∵ 15 of them are members of the physics club

∴ n(mathematics only) = 65 - 15 = 50

∴ 50 students only are members of the mathematics club

b. 50 students only are members of the mathematics club

∵ 40 students are members of the physics club

∵ 15 of them are members of the mathematics club

∴ n(physics only) = 40 - 15 = 25

∴ 25 students only are members of the physics club

c. 25 students only are members of the physics club

Learn more:

You can learn more about word problems in brainly.com/question/8907574

#LearnwithBrainly

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