Q:

Test the number -7 to determine if it is a solution to the equation 4p - (p + 9) = 5p + 5.

Accepted Solution

A:
Plug -7 in for where ever you see the variable p if the final answer is equal to each other then -7 is a solution to the equation4 Γ— (-7) - (-7 + 9) = 5 Γ— (-7) + 5Use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)Parentheses4 Γ— (-7) - (-7 + 9) = Β 5 Γ— (-7) + 54 Γ— (-7) - 2 = Β 5 Γ— (-7) + 5There are no exponents so go to the next stepMultiplication (apply this from left to right)4 Γ— (-7) - 2 = Β 5 Γ— (-7) + 5-28 - 2 = 5 Γ— (-7) + 5-28 - 2 = 5 Γ— (-7) + 5-28 - 2 = -35 + 5There is no division so go to the next stepAddition-28 - 2 = -35 + 5-28 - 2 = -30Subtraction-28 - 2 = -30-30 = -30-30 = -30-7 is a solution to this equation because when evaluated both sides equals -30Hope this helped!~Just a girl in love with Shawn Mendes