Answer:
= − 17/8
Step-by-step explanation:
1. Remove the one(s)
1c + 9 = 9c + 26
A variable's value does not change when it is multiplied by 1, so we can eliminate it:
c + 9 = 9c + 26
2. Group all y terms on the left side of the equation
c + 9 = 9c + 26
Subtract 9c from both sides:
c + 9 - 9c = 9c + 26 - 9c
Group like terms:
c - 9c + 9 = 9c + 26 - 9c
Simplify the arithmetic:
-8c + 9 = 9c + 26 - 9c
Group like terms:
-8c + 9 = 9c - 9c + 26
Simplify the arithmetic:
-8c + 9 = 26
3. Group all constants on the right side of the equation
-8c + 9 = 26
Subtract 9 from both sides:
-8c + 9 - 9 = 26 - 9
Simplify the arithmetic:
-8c = 26 - 9
Simplify the arithmetic:
-8c = 17
4. Isolate the y
-8c =1 7
Divide both sides by -8:
-8c/8 = 17/-8
Cancel out the negatives:
8c/8 = 17/-8
Simplify the fraction:
c = 17/-8
Simplify the signs:
c = -17/8
