Solve the equation: –9x + 1 = –x + 17
An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.
Answer: The value of x in the equation –9x + 1 = –x + 17 is -2.
An equation is like a weighing balance with equal weights on both sides. If we add or subtract the same number from both sides of an equation, it still holds.
Add 9x on the both sides of the equation –9x + 1 = –x + 17.
–9x + 1 + 9x = –x + 17 + 9x
1 = 17 + 8x
Subtract 17 from both the sides of the equation, 1 = 17 + 8x.
1 - 17 = 17 + 8x - 17
8x = -16
Divide both sides of the equation 8x = -16 by 8.
x = -16/8
x = -2
So, the solution of the equation –9x + 1 = –x + 17 is x = -2.