Answer:
We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Step-by-step explanation:
Given the first equation
solving the equation
3x-5 = 16
adding 5 to both sides
3x-5+5 = 16+5
3x = 21 ∵ 3x = 21 is the 2nd equation
divide bothe sides by 3
3x/3 = 21/3
x = 7
Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.
In other words, whatever the value of x we will get, it will satisfy both equations.
Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.
Verification:
Consider the 2nd equation
3x = 21
Put x = 7
3(7) = 21
21 = 21
Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.