Q:

What is the second step in solving the equation h/3 + 7 = 5? Add 7 to each side. Subtract 7 from each side. Divide each side by 3. Multiply each side by 3.

Accepted Solution

A:
Answer:Subtract 7 from each side.Step-by-step explanation:When solving this equation, [tex]\frac{h}{3}+7=5[/tex] you are trying to isolate "h", or separate it from everything else. We want to keep "h" on the left side of the equal sign, and put everything that's on the left right now on the right side. When moving a number, use its reverse/opposite operation. When you do a reverse operation, it will cancel out. (The opposite of adding is subtracting. The opposite of dividing is multiplying). You also need to do the reverse operation to BOTH sides of the equation, or else it will not be balanced.(For example, if I have "+ 12" on the left, I would "- 12" on both sides to move it to the right).Which number do you move first?Use reverse BEDMAS order  =>  SAMDEB (subtract or add, multiply or divide, exponents, brackets). This equation has addition and division on the left side. You will reverse the adding first (by subtracting), then reverse the dividing (by multiplying).[tex]\frac{h}{3}+7=5[/tex][tex]\frac{h}{3}+7-7=5-7[/tex]    Subtract 7 from each side.To finish solving:[tex]\frac{h}{3}=-2[/tex][tex]3*\frac{h}{3}=3*-2[/tex]   Multiply both sides by 3[tex]h=-6[/tex]Summary:Do reverse operations, in reverse BEDMAS order, to both sides of the equation for numbers you are moving away from the variable.Adding/subtracting is before multiplying/dividing for reverse BEDMAS. Since it says "+ 7" in the question, you should do the opposite. Therefore you subtract 7 from each side next.