contestada

2. Select all the equations that have the same solution as the equation 3x - 12 = 24.
A. 15x - 60 = 120
B. 3x = 12
C. 3x = 36
D. x - 4 = 8
E. 12x - 12 = 24

Respuesta :

Answer:

a and b

Step-by-step explanation:

15x-60=120

15x-60-60=120-60

15x=60

15x/15=60/15

x=4

3x=12

3x/3=12/3

x=4

the equations that have the same solution as the equation 3x - 12 = 24 are

[tex]A. 15x - 60 = 120\\C. 3x = 36\\D. x - 4 = 8[/tex]

Given :

We are given with an equation [tex]3x-12=24[/tex]

solve the given equation for x

[tex]3x-12=24\\3x=24+12\\3x=36\\Divide \; by \; 3\\x=12[/tex]

Now we check whether x=12 is a solution for all the equations

Substitute 12 for x in each equation and verify

[tex]15x-60=120\\15(12)-60=120\\\\120=120 (True)[/tex]

First equation satisfies the solution

[tex]3x = 12\\3(12)=12\\36 =12 \\false[/tex]

[tex]3x=36\\3(12)=36\\36=36 (True)[/tex]

Option C satisfies the solution

[tex]x-4=8\\12-4=8\\8=8 (True)[/tex]

Option D satisfies the solution

[tex]12x-12=24\\12(12)-12=24\\132=24(False)[/tex]

the equations that have the same solution as the equation 3x - 12 = 24 are

[tex]A. 15x - 60 = 120\\C. 3x = 36\\D. x - 4 = 8[/tex]

LEarn more : brainly.com/question/8777708