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

Answer:

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

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

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

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

Step-by-step 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