Answer:
[tex]24x - 8 = 8 ( 3 x - 1 )[/tex]
[tex]6 m - 15 = 3 ( 2 m - 5 )[/tex]
[tex]-7 x - 1 = - 1 ( 7 x + 1 )[/tex]
[tex]-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )[/tex]
Step-by-step explanation:
Required
Select which of the equation is true
[tex]24x - 8 = 8 ( 3 x - 1 )[/tex]
Open the bracket on the right hand side
[tex]24x - 8 = 8 * 3 x - 8 *1[/tex]
[tex]24x - 8 = 24x - 8[/tex]
Both sides of the equation are equal.
Hence, this equation is true
[tex]6 m - 15 = 3 ( 2 m - 5 )[/tex]
Open the bracket on the right hand side
[tex]6m - 15 = 3 * 2m - 3 * 5[/tex]
[tex]6m - 15 = 6m - 15[/tex]
Both sides of the equation are equal.
Hence, this equation is true
[tex]-7 x - 1 = - 1 ( 7 x + 1 )[/tex]
Open the bracket on the right hand side
[tex]-7x - 1 = -1 * 7x -1 * 1[/tex]
[tex]-7x - 1 = -7x -1[/tex]
Both sides of the equation are equal.
Hence, this equation is true
[tex]16 a + 24 b = 8 ( 8 a + 16 b )[/tex]
Open the bracket on the right hand side
[tex]16a + 24b = 8 * 8a + 8 * 16b[/tex]
[tex]16a + 24b = 64a + 128b[/tex]
Both sides of the equation are not equal.
Hence, this equation is false
[tex]-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )[/tex]
Open the bracket on the right hand side
[tex]-8 x -12 y - 16 = - 4* 2 x -4 * 3 y -4 * 4[/tex]
[tex]-8 x -12 y - 16 = -8x -12y -16[/tex]
Both sides of the equation are equal.
Hence, this equation is true
