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ArbitrLikvidat [17]
3 years ago
12

Solve the system of linear equations by substitution. 3x−2y=15 y=2x−11

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

The solution set is (7,3).

Step-by-step explanation:

Given system of equations is;

3x−2y=15     Eqn 1

y=2x−11        Eqn 2

Substituting value of y from Eqn 2 in Eqn 1

3x-2(2x-11)=15\\3x-4x+22=15\\-x+22-15=0\\7=x\\x=7

Putting x=7 in Eqn 2

y=2(7)-11\\y=14-11\\y=3

The solution set is (7,3).

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/10688256
  • brainly.com/question/10708697

#LearnwithBrainly

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Question 2 (Essay Worth 10 points)
shtirl [24]

Using relations in a right triangle, it is found that:

sin(x) = cos(y) = 0.6.

Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Applying the Pythagorean Theorem, the hypotenuse is given by:

h² = 3² + 4²

h² = 25

h = 25.

Hence, applying the definitions:

  • sin(x) = 3/5 = 0.6.
  • cos(y) = 3/5 = 0.6.

Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

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2 years ago
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Eddi Din [679]

Answer:

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Step-by-step explanation:

3 divided by 6  is .5

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3 years ago
There are 87.4 calories in one serving of cherries. How many calories are in 3.85 servings? Enter your answer in the bo
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Answer:

336.49

Step-by-step explanation:

Multiply 87.4 times 3.85 to find your answer.

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Step-by-step explanation:

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What is the result of adding 6/100 and 1/10? use forms of a/b​
Oksana_A [137]

Step-by-step explanation:

1/10 is equivalent to saying 10/100.

Adding these together would look like:

10/100 + 6/100 = 16/100 (cannot be simplified)

a/b = 16/100

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3 years ago
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