Compare the equations: #x-1/2=x/4+3# and #4x-2 = x+12# ?

1 Answer
Sep 14, 2017

Equation 2 #= 4xx# Equation 1
Since one equation is a scalar multiple of the other the two equations are equivalent.

Explanation:

Consider the two equations:

#x-1/2=x/4+3# [1]

#4x-2 = x+12# [2]

Equation [1] #xx4 -> 4(x-1/2) = 4(x/4+3)#

#4x -2 =x+12 -=# Equation [2]

Thus, Equation 2 #= 4xx# Equation 1

Since one equation is a scalar multiple of the other the two equations are equivalent.