Home > Algebra > Distributive Property for Multi-Step Equations

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

Answer 1

Savannah Anderson

#q=2#

#"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"#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Abigail Allen

#q= 2#

Distributive Property is Used.

#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#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Savannah Anderson

To solve the equation 16 - 3q = 10, first subtract 16 from both sides to isolate the term with 'q'. This gives you -3q = -6. Then, divide both sides by -3 to solve for 'q'. This yields q = 2. So, the solution to the equation is q = 2.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.