−2∣5w−7∣+9=−7 how do i get the second answer
Mathematics · Middle School · Wed Jan 13 2021
Answered on
Given the equation:
-2| 5w - 7 | + 9 = -7
Solve the equation.
In order to solve the equation, we must first get rid of the absolute value sign by taking the absolute value of the number. We must take note that the absolute value of any number is simply equal to its positive value. This means that the absolute value of a negative number is positive.
-2| 5w - 7 | + 9 = -7
-2 (5w + 7) + 9 = -7
-10w - 14 + 9 = -7
-10w - 5 = -7
In order to determine the value of w we transpose -5 to the other side of the equation, and then divide both sides by -10. It must be taken to note that in transposing a number, the sign changes.
-10w = -7 + 5
-10w = -2
-10w/-10 = -2/-10
w = 1/5
Final answer:
w = 1/5