Explanation

Explanation

x + x = 2x  

So, x + x - 2

= 2x - 2

Explanation

Explanation

(x - 2)(x + 3) = 0

This implies:

x - 2 = 0 or x + 3 = 0

x = 2 or x = -3

Explanation

Given:  

x² − x = 12  

y² − y = 12  

So both equations are equal:  

x² − x = y² − y  

⇒ x² − x − y² + y = 0  

⇒ (x² − y²) − (x − y) = 0  

⇒ (x − y)(x + y − 1) = 0  

Now set each factor to zero:  

1. x − y = 0 → ⇒ x = y  

2. x + y − 1 = 0 → ⇒ x + y = 1

Now plug into original equation to find values:

Try solving x² − x = 12  

⇒ x² − x − 12 = 0  

⇒ (x − 4)(x + 3) = 0  

⇒ x = 4 or x = -3

Case 1: x = 4  

If x + y = 1 ⇒ y = -3  

Then x − y = 4 − (−3) = 7

Case 2: x = -3  

If x + y = 1 ⇒ y = 4  

Then x − y = -3 − 4 = −7

So possible values of x − y = 0 or ±7

Explanation

5x - 4 = 4x - 4  

Value of x

Solution:

Subtract 4x from both sides:  

5x - 4x - 4 = -4  

x - 4 = -4  

Add 4 to both sides:  

x = 0  

Explanation

The multiplicative inverse of a number is the number that, when multiplied by the original number, gives a product of 1.

The multiplicative inverse of 0 does not exist, because:

0 × x = 0 ≠ 1

for any real number x.

The correct answer is: 0

Explanation

If all the elements of a matrix are zero, the matrix is called a zero matrix or a null matrix. 

Explanation

 The formula for acceleration is a = F/m,

Where

'a' is acceleration,

'F' is net force, 

'm' is mass.

Explanation

The commutative property means A × B = B × A.

- For matrices, Addition is commutative: A + B = B + A.  

- Multiplication of matrices is not generally commutative: A × B ≠ B × A.  

- Subtraction is not commutative either: A - B ≠ B - A.