Steven is solving the equation 3(8−2x)+40=34. he begins with the following two steps.
step 1: 3(8)+3(−2x)+40=34
step 2: 24−6x+40=34
which of the following is the best next step for steven to take in solving the equation?
question 4 options:
multiply both sides by –6.
add 24 and 40.
add 24 to both sides.
add 24 and 34.

Step-by-step explanation:

3(8 - 2x) + 40 = 34       use the distributive property a(b + c) = ab+ ac

3(8) + 3(-2x) + 40 = 34

24 - 6x + 40 = 34          combine like terms

-6x + (24 + 40) = 34       Add 24 and 40

-6x + 64 = 34            subtract 64 from both sides

-6x = -30          divide both sides by (-6)

x = 5

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.