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2 years ago

Why is the point ( 3, 4 ) the solution to this system of equations? y= 1/3x + 3 y= 2x - 2

Mathematics

1 answer:

evablogger [386]2 years ago

6 0

Answer:

The answer to your question is because it is a solution of each equation.

Step-by-step explanation:

Data

Point (3,4)

Equation l y = 1/3x + 3

Equation ll y = 2x - 2

Process

1.- To test is a point is solution to a system of equations,

-Substitute the point in both equations

Equation l 4 = 1/3(3) + 3

4 = 1 + 3

4 = 4 The point is a solution because

4 = 4

Equation ll 4 = 2(3) - 2

4 = 6 - 2

4 = 4 This point is a solution for the second

equation but not for the first one.

2.- Conclusion

As the point is a solution of each equation, it is a solution of the system.

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Sorry i ment to put 14/15 - 1/3 then put as a fraction in simplest form

Sergio039 [100]

Answer:

Step-by-step explanation:

14/15 - 1/3

= 6/10

In simplest form

= 3/5

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2 years ago

Verify a x (b+c) = a x b + a x c for a = -1/6 b=4/7 c=-2/5

SVETLANKA909090 [29]

Step-by-step explanation:

✓(-1/6×4/7)+(-1/6×-2/5)

✓(-4/42)+(2/30)

✓(-2/21)+(1/15)

✓(-2/21+1/15)

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2 years ago

Show what you know: work out the problems below and submit a photo of your work to receive full credit.

Alexxandr [17]

The model for representing the ratio of the number of orange and green rolls are $\dfrac{3}{2}$ .

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

<h3>What is ratio?</h3>

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

$\dfrac{O}{G}=\dfrac{3}{2}$

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

D=3O and D=2G

3O=2G

Hence the models are $\dfrac{O}{G}=\dfrac{3}{2}$ and 3O=2G.

To know more about Ratios follow

brainly.com/question/4931057

#SPJ1

6 0

1 year ago

I don’t understand how to find the dimension, Need help :c

slava [35]

Width = W

Length = 2 times the width plus 3 feet = 2W + 3

Area of triangle A = L * W

A = W (2W + 3)

20 = 2W^2 + 3W

2W^2 + 3W - 20 = 0

(W + 4) (2W - 5) = 0

W + 4 = 0; W = - 4 (width cannot be negative, excluded)

2W - 5 = 0

2W = 5

W = 2.5

L = 2W + 3 = 2(2.5) + 3 = 8

Answer:

Width = 2.5 feet and Length = 8 feet

Hope it helps.

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2 years ago

What is the slope of the line? -2 1/2 1 2

photoshop1234 [79]

Going to be number two becaus

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3 years ago