Question

Х*У=100 Х+У=20 Х:У= ?

Answer 1

10×10=100
10+10=20
10÷10=1
Ответ: 1.

Answer 2

х+у=20; х=20-у

Подставим значение х в первое уравнение:

(20-у)*у=100

20у-у²=100

у²-20у+100=0

D=0; уравнение имеет один корень.

у=10

х=20-10=10

10/10=1

Ответ: х/у=1

Answer 3

To solve the given system of equations, we can use substitution or elimination method. Let's use the elimination method to find the values of X and Y.

Given equations:

1. X * Y = 100
2. X + Y = 20

To eliminate one variable, we'll multiply the second equation by X and subtract it from the first equation:

(X * Y) - (X * (X + Y)) = 100 - (20 * X) XY - (X^2 + XY) = 100 - 20X

• X^2 = 100 - 20X

Rearranging the equation, we get: X^2 - 20X + 100 = 0

Now, we can solve this quadratic equation. Factoring doesn't yield integer solutions, so we'll use the quadratic formula:

X = (-(-20) ± √((-20)^2 - 4 * 1 * 100)) / (2 * 1) X = (20 ± √(400 - 400)) / 2 X = (20 ± √0) / 2 X = (20 ± 0) / 2

This equation has a double root at X = 10.

Now, substituting this value of X into the second equation: 10 + Y = 20 Y = 20 - 10 Y = 10

Therefore, the values of X and Y that satisfy the given equations are X = 10 and Y = 10.

To find the ratio X:Y, we divide X by Y: X:Y = 10:10 = 1:1