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3 years ago

2x+1=3(y-1) 6(2y-1)=5x Find values of x and y

Mathematics

2 answers:

olchik [2.2K]3 years ago

4 0

Answer:

x= -10/3

y= -8/9

Step-by-step explanation:

2x+1=3(y−1);6(2y−1)=5x

Rewrite equations:

2x+1=3y−3;12y−6=5x

Step: Solve2x+1=3y−3for x:

2x+1=3y−3

2x+1+−1=3y−3+−1(Add -1 to both sides)

2x=3y−4

2x2=3y−42(Divide both sides by 2)

x=32y−2

Step: Substitute32y−2forxin12y−6=5x:

12y−6=5x

12y−6=5(32y−2)

12y−6=152y−10(Simplify both sides of the equation)

12y−6+−152y=152y−10+−152y(Add (-15)/2y to both sides)

92y−6=−10

92y−6+6=−10+6(Add 6 to both sides)

92y=−4

92y92=−492(Divide both sides by 9/2)

y=−89

Step: Substitute−89foryinx=32y−2:

x=32y−2

x=32(−89)−2

x=−103(Simplify both sides of the equation)

trapecia [35]3 years ago

4 0

Answer:x=−103

Step-by-step explanation:

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Cousin Hector drove 1,851 miles to the reunion. He lives in Mexico and drove 747 miles through that country to the United States

Sonja [21]

Answer:

1104 miles

Step-by-step explanation:

Say he lives in a place in Mexico which is at a distance of a miles from the Mexico-America border point and the reunion is at b miles from the same border point, in America.

So the total distance travelled is ( a + b ) miles

( this is just sum of distance travelled in Mexico + that in America )

Given , a=747 and a+b=1851

that implies:

747 + b = 1851

So, b = 1104 miles.

Therefore he has travelled 1104 miles in America,

3 0

3 years ago

How many people choose football or soccer than baseball or basketball.

Jlenok [28]

Answers 8 football, 6 baseball and basketball, 5 soccer

Step-by-step explanation:

8 football, 6 baseball and basketball, 5 soccer

8 0

2 years ago

Please help me:) I don’t know what to do

Cloud [144]

Answer:

8 family members. Average of 2.6 fish per person.

Step-by-step explanation:

How many family members caught fish? Count only those members who caught at least 1 fish (that's all of them, because nobody caught 0 fish!).

3 + 1 + 0 + 4 = 8 family members.

Average number of fish caught per person. This is the total number of fish caught divided by the total number of people.

This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.

Multiply number of fish (column 1) by the number of people (column 2):

1 x 3 + 2 x 1 + 3 x 0 + 4 x 4 = 3 + 2 + 0 + 16 = 21 fish caught.

21 fish. 8 people. On average, that is 21 / 8 = 2.625 which rounds to 2.6 fish per person.

Hint: the word "per" means divide, so "fish per person" tells you to divide the total number of fish by the total number of people.

Good Luck!

5 0

2 years ago

What is the tan invers of 3i/-1-i

postnew [5]

z = 3i / (-1 - i )

z = 3i / (-1 - i ) × (-1 + i ) / (-1 + i )

z = (3i × (-1 + i )) / ((-1)² - i ²)

z = (-3i + 3i ²) / ((-1)² - i ²)

z = (-3 - 3i ) / (1 - (-1))

z = (-3 - 3i ) / 2

Note that this number lies in the third quadrant of the complex plane, where both Re(z) and Im(z) are negative. But arctan only returns angles between -π/2 and π/2. So we have

arg(z) = arctan((-3/2)/(-3/2)) - π

arg(z) = arctan(1) - π

arg(z) = π/4 - π

arg(z) = -3π/4

where I'm taking arg(z) to have a range of -π < arg(z) ≤ π.

6 0

3 years ago

Ber [7]

Answer:

2/1

Step-by-step explanation:

5 0

3 years ago