Ok so im stuck on this and its due today :[
Solve the following equation algebraically. Show your work.
13 + Start Fraction w over 7 End Fraction = –18
13 + w/7 = -18
adding 13 ... w/7 = -5
multiplying by 7 ... w = ?
wtf is the answer
Sure, I can help you with that!
To solve the equation algebraically, we need to isolate the variable "w" on one side of the equation. Here's how you can do it step by step:
1. Start by subtracting 13 from both sides of the equation to isolate the fraction:
Start Fraction w over 7 End Fraction = –18 - 13
Simplifying the right side gives:
Start Fraction w over 7 End Fraction = –31
2. To remove the fraction, we can multiply both sides of the equation by 7:
7 * Start Fraction w over 7 End Fraction = 7 * –31
This simplifies to:
w = –217
So the solution to the equation is w = –217.
To verify this solution, you can substitute w = –217 back into the original equation and see if both sides of the equation are equal:
13 + Start Fraction -217 over 7 End Fraction = –18
Simplifying the left side gives:
13 - 31 = –18
This is true, so our solution is correct.
Remember, when solving algebraic equations, the goal is to isolate the variable on one side of the equation by performing the same operation on both sides. In this case, we subtracted 13 and multiplied by 7 to isolate "w".