Solve EXERCISE 1.6 1. Verify the property : xy = yx by taking x = - 1/3; y = 2/7; x = - 3/5; y = - 11/13 ( i ) x = ( ii) ( iii ) to | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { x \times y = y \times x } \\ { \begin{array} { l } { x = - \frac { 1 } { 3 } , y = \frac { 2 } { 7 } } & { x = \frac { - 3 } { 5 } , y = \frac \right.$$

Solve for x (complex solution)

$x\in \mathrm{C}$

Solution Steps

Subtract $yx$ from both sides.

$$xy-yx=0$$

Combine $xy$ and $-yx$ to get $0$.

$$0=0$$

Compare $0$ and $0$.

$$\text{true}$$

This is true for any $x$.

$$x\in \mathrm{C}$$

Solve for x

$x\in \mathrm{R}$

Solution Steps

Subtract $yx$ from both sides.

$$xy-yx=0$$

Combine $xy$ and $-yx$ to get $0$.

$$0=0$$

Compare $0$ and $0$.

$$\text{true}$$

This is true for any $x$.

$$x\in \mathrm{R}$$