Question

Select all the equations that are true. 24 x − 8 = 8 ( 3 x − 1 ) 24 x − 8 = 8 ( 3 x − 1 ) 6 m − 15 = 3 ( 2 m − 5 ) 6 m − 15 = 3 ( 2 m − 5 ) − 7 x − 1 = − 1 ( 7 x + 1 ) − 7 x − 1 = − 1 ( 7 x + 1 ) 16 a + 24 b = 8 ( 8 a + 16 b ) 16 a + 24 b = 8 ( 8 a + 16 b ) − 8 x − 12 y − 16 = − 4 ( 2 x + 3 y + 4 ) − 8 x − 12 y − 16 = − 4 ( 2 x + 3 y + 4 )

Answer 1

`24x - 8 = 8 ( 3 x - 1 )`

`6 m - 15 = 3 ( 2 m - 5 )`

`-7 x - 1 = - 1 ( 7 x + 1 )`

`-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )`

Explanation:

Required

Select which of the equation is true

`24x - 8 = 8 ( 3 x - 1 )`

Open the bracket on the right hand side

`24x - 8 = 8 * 3 x - 8 *1`

`24x - 8 = 24x - 8`

Both sides of the equation are equal.

Hence, this equation is true

`6 m - 15 = 3 ( 2 m - 5 )`

Open the bracket on the right hand side

`6m - 15 = 3 * 2m - 3 * 5`

`6m - 15 = 6m - 15`

Both sides of the equation are equal.

Hence, this equation is true

`-7 x - 1 = - 1 ( 7 x + 1 )`

Open the bracket on the right hand side

`-7x - 1 = -1 * 7x -1 * 1`

`-7x - 1 = -7x -1`

Both sides of the equation are equal.

Hence, this equation is true

`16 a + 24 b = 8 ( 8 a + 16 b )`

Open the bracket on the right hand side

`16a + 24b = 8 * 8a + 8 * 16b`

`16a + 24b = 64a + 128b`

Both sides of the equation are not equal.

Hence, this equation is false

`-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )`

Open the bracket on the right hand side

`-8 x -12 y - 16 = - 4* 2 x -4 * 3 y -4 * 4`

`-8 x -12 y - 16 = -8x -12y -16`

Both sides of the equation are equal.

Hence, this equation is true