Question

Each student wrote a two step equation peter wrote the equation 4x - 2 = 10 and andres wrote the eqaution 16x - 8 =40 the teacher looked at their equations and asked them to compare them describe one way in which the equations are similar

Answer 1

Both equations are basically the same thing.
Lets simplify them both
4x-2=10
4x=12
x=3.
Now lets simplify the other one.
16x-8=40
16x=48
x=3
So we can conclude that the second one is the same as the first one but all the values are multiplied by 4

Answer 2

Both equations represent the same expression or line

Explanation:

Both equations are expressed in terms of a unique variable x. Equation 1 is

4x-2 = 10

However, equation (2) is simply equation (1) multiplied by 4:

4* (4x-2) =10*4

16x - 8 = 40

If we simplify both equations we arrive to the same x value

4x-2 = 10

4x=12

x=12/4=3

16x - 8 = 40

16x = 48

x = 48/16 = 3