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zvonat [6]
3 years ago
15

Find the solution to the systems of equations using the elimination method.

Mathematics
2 answers:
vredina [299]3 years ago
5 0
X=-2/3y+11/3

x=-3/5y+14/5
Naily [24]3 years ago
4 0

Answer:

x = 1 ; y = 3

Step-by-step explanation:

5(2x + 3y = 11)

2(5x + 3y + 14)

(distribute)

10x + 15y = 55

10x + 6y = 28

(subtract)

9y = 27

(divided 9 to both sides)

9 divided by 9 cancels out and 27 divided by 9 = 3

so..

y = 3

now, using any equation, (i’ll be using 2x + 3y =11) plug in the y value to find the x value

2x + 3y = 11

2x + 3(3) = 11

(multiply 3 x 3)

2x + 9 = 11

(subtract 9 from 9 and 11)

2x = 2

(divide 2 from both sides)

2 divided by 2 = 1

therefore...

x = 1

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Carissa pays $2.10 each day for lunch. her money is in an account that is deducted each time she buys a lunch. there are 6 days
dlinn [17]

Answer:

15¢

Step-by-step explanation:

$12.75 - 6 × $2.10 = $12.75 - $12.60 = $0.15

Answer: 15 cents

3 0
2 years ago
A machine uses gasoline at a rate of 1/5 gallon an hour. So far 9/10 of a gallon has been used. How many hours has the machine o
uysha [10]

The machine was operated for  4.5 hours

A machine uses gasoline at a rate of 1/5 gallon per hour

The number of hours it will take the machine to use 9/10 gallon can be calculated as follows

1/5 = 1

9/10= x

cross multiply

1/5x= 9/10

0.2x= 0.9

x= 0.9/0.2

x= 4.5

Hence the machine was operated for 4.5 hours

Read more here

brainly.com/question/18448969?referrer=searchResults

#SPJ1

3 0
1 year ago
In the straightaways, each lane is a rectangle. What is the area and perimeter of each
Greeley [361]

The area of the lane is 50 in² and its perimeter is 30 in.

<h3>What is an area</h3>

Area is the amount of space occupied by a two dimensional object or figure. For a rectangle:

Area = length * width

Let the length of the lane be 10 in and the width be 5 in, hence:

Area = 10 * 5 = 50 in²

Perimeter = 2(length + width) = 2(10 + 5) = 30 in

The area of the lane is 50 in² and its perimeter is 30 in.

Find out more on area at: brainly.com/question/19819849

7 0
3 years ago
Dale cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
ycow [4]
7.84 / 7 = 1.12 meters per piece <=
4 0
3 years ago
Read 2 more answers
It's #25 guys. Show your work!
Ronch [10]
y+8 = \frac{1}{2}(x-7) is equivalent to <span>y-(-8) = \frac{1}{2}(x-7)

That is in the form </span><span>y-y_{1} = m(x-x_{1}) which is point slope form

In this case,

m = 1/2 is the slope
(x1,y1) = (7,-8) is the point the line goes through</span>
6 0
4 years ago
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