All categories

2 years ago

47x + 31y = 63 31x + 47y = 15

Mathematics

1 answer:

NikAS [45]2 years ago

7 0

Answer:

x = 2, y = -1

Step-by-step explanation:

47x + 31y = 63...eqn 1

31x + 47y = 15...eqn 2

multiply eqn 1 by 47 to get eqn 3 and multiply eqn 2 by 31 to get eqn 4...

=> 2209x + 1457y = 2961...eqn 3

=> 961x + 1457y = 465...eqn 4

subtract eqn 4 from eqn 3

=> 1248x = 2496

=> x =2

subst x =2 in eqn 1

=> 94 + 31y = 63

=> 31y = -31

=> y = -1

You might be interested in

7.6 cm 3.7 cm Find the area of the parallelogram.

Alik [6]

Answer:

7cm²

Step-by-step explanation:

4 0

2 years ago

200 + 10x = 120 + 15x now solve the equation to find x, the number of hours that both companies will charge the same ammount

torisob [31]

Answer:

Step-by-step explanation:

Given the equation, $200 + 10x = 120 + 15x$ , let's solve for x as follows,

Subtract 200 from both sides

$200 + 10x - 200 = 120 + 15x - 200$

$10x = - 80 + 15x$

Subtract 15x from both sides

$10x - 15x = - 80 + 15x - 15x$

$-5x = - 80$

Divide both sides by -5

$\frac{-5x}{-5} = \frac{-80}{5}$

$x = 16$

8 0

2 years ago

Solve for y. y y —— = —— P-9 P+9

Veronika [31]

9514 1404 393

Answer:

y = 0

Step-by-step explanation:

Subtracting the right side gives ...

$\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}$

The factor multiplying y cannot be zero, so y must be zero.

5 0

2 years ago

A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. A rectangle with length of 16 feet and widt

Mariulka [41]

Answer:

first, find the area of the circle cut.

r= 3 feet

π=3.14

area of a circle= πr²= 3.14×3×3= 28.26 sq.feet

Now, find the area of the rectangle and subtract it by the area of the circle.

area of rectangle = l×b

length of the rectangle= 16 feet

breadth/width of the rectangular garden= 14 feet

area= 16×14= 224 sq. feet

now, area of the garden surrounding the koi pond= 224-28.26

=195.74 sq. feet

7 0

2 years ago

A construction worker has a cable that is 8 yards long. He wants to cut it into 9 equal-length pieces. How long will each piece

Troyanec [42]

They would be 32 inches because I did it again and got 32 inches or 0.8 yards
long and if you need any more help or this wasn't correct just tell me :D

4 0

2 years ago

Read 2 more answers