5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this

Answers

Answer 1

Answer:

x=7 and y=2

Step-by-step explanation:

In this case, you want to use elimination

1. multiply the second equation by -1

       5x + 3y = 41

       2x + 3y = 20

turns into

       5x + 3y = 41

       -2x + 3y = 20

2. combine the equations

       3x=21

3. solve for x

3x=21

3x/3=21/3

x=7

4. Now you want to plug x back into the original equation

5x+3y=41

turns into

5(7)+3y=41

5. Then solve for y

35+3y=41

35+3y-35=41-35

3y=6

3y/3=6/3

y=2

6. results

x=7 and y=2


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give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.

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Answer:

x ≈ 41.6°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JK}{KL}[/tex] = [tex]\frac{80}{90}[/tex] = [tex]\frac{8}{9}[/tex] , then

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Solve for X
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Answers

Answer:

[tex]{ \rm{5x - 8 < x + 10}} \\ \\ { \rm{5x - x < 10 + 8}} \\ \\ { \rm{4x < 18}} \\ \\ { \rm{x < 4.5}}[/tex]

Solving for x in the inequality gives us;

x < 4.5

Inequality

We are given the inequality;

5x - 8 < x + 10

The first step is to use addition property of equality to add 8 to both sides;

5x - 8 + 8 < x + 10 + 8

5x < x + 18

Use subtraction property of equality to subtract x from both sides to get;

5x - x < x + 18 - x

4x < 18

Using division property of equality, we have;

x < 18/4

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A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26000 kilograms. Other shipments weighing 13200 kilograms have already been loaded into the container. What is the greatest number of 60-kilogram crates that can be loaded into the shipping container?

Answers

Answer:

213 crates

Step-by-step explanation:

There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.

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Answers

Using function concepts, it is found that the domain of the graph Antonio is creating would be: [tex]4 \leq x \leq 8[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The area of each square tile is square feet and the area of each triangular tile is square foot.

We will pour sand into each frame to a depth of foot.

image placeholder
ft
Complete the sentence with the amount of sand we will need for each tile.​

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Answers

Answer

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Let w represent the width. Then the length is 2w+3, and the perimeter is ...

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Now solve for the angle measures:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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==================================================

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----------

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

,(TT(TT)(TT)(TT)(TT)(TT)(TT

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Answers

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Answer:

Step-by-step explanation:

If you're actually looking for y + b rather than x + b

Then

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