How do you solve #16-3q=10#?

2 Answers
May 31, 2018

#q= 2#

Explanation:

Using Distributive Property..

#16 - 3q = 10#

Subtracting #16# from both sides;

#16 - 3q - 16 = 10 - 16#

#16 - 16 - 3q = 10 - 16#

#0 - 3q = -6#

#-3q = -6#

Dividing both sides by the coefficient of #q;#

#(-3q)/(-3) = (-6)/(-3)#

#(cancel(-3)q)/cancel(-3) = (cancel-6)/(cancel-3)#

#q = 6/3#

#q= 2#

May 31, 2018

#q=2#

Explanation:

#"isolate "-3q" by subtracting 16 from both sides"#

#cancel(16)cancel(-16)-3q=10-16#

#-3q=-6#

#"divide both sides by "-3#

#(cancel(-3) q)/cancel(-3)=(-6)/(-3)rArrq=2#

#color(blue)"As a check"#

#"left side "=16-(3xx2)=16-6=10=" right side"#