We need to solve the equation [tex] 643=4*160+n [/tex]
The first thing we are going to do is perform the multiplication [tex] 4*160 [/tex]:
[tex] 643=4*160+n [/tex]
[tex] 643=640+n [/tex]
Remember that the most important thing to solve and equation is isolate (left the variable alone) in one side of the equation. Notice that we can isolate the variable, [tex] n [/tex], in our equation by subtracting 640 from both sides of the equation:
[tex] 643-640=640-640+n [/tex]
[tex] 3=0+n [/tex]
[tex] 3=n [/tex]
[tex] n=3 [/tex]
Now, let's check if the solution [tex] n=3 [/tex] is a valid solution for our equation; to do it, we are going to replace [tex] n [/tex] with [tex] 3 [/tex] in our original equation and check if the resulting equation is true:
[tex] 643=4*160+n [/tex]
[tex] 643=4*160+3 [/tex]
[tex] 643=640+3 [/tex]
[tex] 643=643 [/tex]
Look! our equation is true; we can conclude that [tex] n=3 [/tex] is the solution of the equation [tex] 643=4*160+n [/tex].
