To solve the system of equations 17x + 1 = 18x - 6, subtract 1 from both sides, simplify to -x = -7, and divide by -1 to find x = 7 as the solution.
Absolutely, I’ve been improving my problem-solving abilities in linear equations. Let’s find the value of x in the system of equations:
17x+1 = 18x-6
We can solve the equation by adding/subtracting terms from both sides and dividing both sides by the same factor.
Steps to solve:
1. Add/subtract to both sides:
17x+1{-1} = 18x-6{-1}
17x = 18x-7
2. Add/subtract to both sides:
17x{-18x} = 18x-7{-18x}
-x = -7
3. Divide both sides by the same factor:
x = 7