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Liono4ka [1.6K]
2 years ago
9

2x – 1 = y + 43y +1 = 3х – 2​

Mathematics
1 answer:
ehidna [41]2 years ago
3 0

Answer:x=4 y=3

Step-by-step explanation:

Let's solve your system by substitution.

2x−1=y+4;3y+1=3x−2

Step: Solve2x−1=y+4for y:

2x−1=y+4

2x−1+−y=y+4+−y(Add -y to both sides)

2x−y−1=4

2x−y−1+−2x=4+−2x(Add -2x to both sides)

−y−1=−2x+4

−y−1+1=−2x+4+1(Add 1 to both sides)

−y=−2x+5

−y

−1

=

−2x+5

−1

(Divide both sides by -1)

y=2x−5

Step: Substitute2x−5foryin3y+1=3x−2:

3y+1=3x−2

3(2x−5)+1=3x−2

6x−14=3x−2(Simplify both sides of the equation)

6x−14+−3x=3x−2+−3x(Add -3x to both sides)

3x−14=−2

3x−14+14=−2+14(Add 14 to both sides)

3x=12

3x

3

=

12

3

(Divide both sides by 3)

x=4

Step: Substitute4forxiny=2x−5:

y=2x−5

y=(2)(4)−5

y=3(Simplify both sides of the equation)

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marysya [2.9K]
Your description and expansion suggest you want to evaluate
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5 0
3 years ago
Patrick has a 600-meter skein of yarn. He used 248.9 meters of yarn to make a hat. Does he have enough yarn to make an scarf tha
Masja [62]

Patrick has a total of 600 meters skein of yarn.

He used 248.9 meters of yarn to make a hat.

Now, If he has used 248.9 meters of yarn, we need to find how much yarn has he left.

We need to subtract the amount of yarn used from the total length. That is, 248.9 from 600.

600-248.9=351.1

So, now Patrick has left 351.1 meters of yarn.

Patrick needs to make a scarf that needs 354.03 meters of yarn but after making a hat he has left with only 351.1 meters of yarn. Therefore, Patrick does not have enough yarn to make a scarf.

6 0
3 years ago
981 rounded to nearest 100
sergey [27]

Answer: 1000

Step-by-step explanation:

     9         8       1

Hundred tens one

The question is asking for to round to the nearest hundred (100) which means is rounding to [9] in this question.

The number of the place before the hundreds place is [8] on the tens place.

  • When numbers are greater than or equal to 5, you round up a digit.
  • When numbers are less than 5, you round down a digit.

[8] is greater than 5, so you round 9 up. When rounding 9 up, you get 10.

<h2>So, the final number will be 1000</h2>
6 0
3 years ago
1. Find the Product of 8.02 and 6.1 and correct your answer to the highest whole number. 2. How many pieces of ribbon each 6cm l
Alja [10]

Answer:

1. 14

2.400 pieces

Step-by-step explanation:

1. 8.02+6.1= 14.12, since its less than 14.5 you must round down to 14

2. remember 1 meter is 100 centimeters, thus to find how many centimeters are in 24 m multiply 100 by 24. this will get 2400 centimeters

divide 2400/6 and you will get 400

5 0
3 years ago
Read 2 more answers
Please help!!!
V125BC [204]
Answer: 7 π r² + π r³

Explanation:

1) The general formula for the volumen, V, of a cylinder with radius r and height h is:

V = π r² h

2) Now you have the condition that the height is 7 inches greater than the radius, that is:

h = 7 + r

3) Replace h with its expression

V = π r² (7 + r)

4) Expand the product (use distributive property):

V = π (7r²) + π r³ = 7 π r² + π r³

Answer: 7 π r² + π r³

3 0
3 years ago
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