Question

X*y=6, x*z= -10, x*(y-z) = ?

Answer 1

Ответ: 16

Пошаговое объяснение:

$xy = 6\\xz=-10\\x(y-z) = x*y-x*z=xy-xz=6-(-10)=6+10=16$

Answer 2

To find the value of x * (y - z), we can use the given equations:

1. x * y = 6
2. x * z = -10

First, let's solve for x in both equations:

From equation 1: x = 6 / y

From equation 2: x = -10 / z

Now, we can set these two expressions for x equal to each other since they both equal x:

6 / y = -10 / z

Now, cross-multiply:

6z = -10y

Next, we can solve for z in terms of y:

z = (-10y) / 6

Now, let's find x * (y - z):

x * (y - z) = (6 / y) * (y - (-10y) / 6)

Now, simplify the expression:

x * (y - z) = (6 / y) * (6y / 6 + 10y / 6)

Now, find a common denominator and combine the fractions:

x * (y - z) = (36y / 6y + 60y / 6y)

x * (y - z) = (36y + 60y) / 6y

x * (y - z) = (96y) / 6y

Now, simplify by canceling the common factor of y:

x * (y - z) = (96 / 6)

x * (y - z) = 16

So, x * (y - z) = 16.