How do you solve #5.64+ w = 10#?

1 Answer
Mar 2, 2018

#w=4.36# is the answer.

Explanation:

To solve for the variable #w#, do the same actions on both sides of the equals sign.

In this case, subtract #5.64# from both sides. I'll write out the steps next to the math:

#color(white){color(black)( (5.64+w=10, qquadqquad "The original problem"), (w+5.64=10, qquadqquad"Switch around the plus sign"), (w+5.64color(blue)(-5.64)=10color(blue)(-5.64), qquadqquad"Subtract "5.64" from both sides"), (wcolor(red)cancel(color(black)(+5.64-5.64))=10-5.64,qquadqquad 5.64-5.64" is just "0), (w+0=10-5.64, qquadqquad"Rewrite the above step"), (w=10-5.64,qquadqquad w+0" is just "w), (w=4.36, qquadqquad10-5.64" evaluates to "4.36) :}#

That's the answer!