Question

Is 15x-60=120 equivalent to `3x-12=24`

Answer 1

Yes.

Explanation:

To find if the two equations are equivalent we must isolate the variables for both equations and find the value of x.

`15x-60=120`
Add 60 on both sides:

`-60+60=0\\120+60=180\\15x=180`

Divide 15 on both sides:

`15x/15=x\\180/15=12`

`x=12`

Now the second equation:


`3x-12=24`
Add 12 on both sides:

`-12+12=0\\24+12=36\\3x=36`
Divide both sides by 3:

`3x/3=x\\36/3=12\\x=12`

`12=12`

Speaking how the value of x for both equations is 12 the answer is yes these equations are equivalent.

I hope this helps.