Simplifying
f + -6 = 3f + 1
Reorder the terms:
-6 + f = 3f + 1
Reorder the terms:
-6 + f = 1 + 3f
Solving
-6 + f = 1 + 3f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-3f' to each side of the equation.
-6 + f + -3f = 1 + 3f + -3f
Combine like terms: f + -3f = -2f
-6 + -2f = 1 + 3f + -3f
Combine like terms: 3f + -3f = 0
-6 + -2f = 1 + 0
-6 + -2f = 1
Add '6' to each side of the equation.
-6 + 6 + -2f = 1 + 6
Combine like terms: -6 + 6 = 0
0 + -2f = 1 + 6
-2f = 1 + 6
Combine like terms: 1 + 6 = 7
-2f = 7
Divide each side by '-2'.
f = -3.5
Simplifying
f = -3.5
Answer:
The answer is 9.7 cups of sugar
Step-by-step explanation:
G-8=B you can't find out B (boys) until you know how many G (girls) there are in Mrs. Davis's class
Answer: 10 dimes
Solve using system of equations.
q=number of quarters and d=number of dimes
.25q+.10d=5.50 because the total of dimes and quarters is $5.50
8+d=q because there are 8 more quarters than dimes
substitute 8+d for q into the first equation to get .25(8+d)+.10d=5.50
then simplify
2+.35d=5.50
.35d=3.50
d=10 he has 10 dimes
