~ Simplifying
4x + -3 = 2(2x + -1)
~ Reorder the terms:
-3 + 4x = 2(2x + -1)
~ Reorder the terms:
-3 + 4x = 2(-1 + 2x)
-3 + 4x = (-1 * 2 + 2x * 2)
-3 + 4x = (-2 + 4x)
~ Add '-4x' to each side of the equation.
-3 + 4x + -4x = -2 + 4x + -4x
~ Combine like terms: 4x + -4x = 0
-3 + 0 = -2 + 4x + -4x
-3 = -2 + 4x + -4x
~ Combine like terms: 4x + -4x = 0
-3 = -2 + 0
-3 = -2
~ Solving
-3 = -2
~ This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Ounce of blue dye mixed with one gallon of white paint base = 3/4
Ounce of blue dye mixed with eight gallons of white paint base =
= 3 × 2
=6
Ounce of pink dye mixed with one gallon of white paint base = 2/3
Ounce of pink dye mixed with eight gallons of white paint base =
= 16/3
= 5.3
Hence, 6 ounce of blue dye and 5.3 ounce of pink dye are needed to mix with 8 gallons of paint.
=6
44 boots were sold all together. To figure this out first you need to find how many of the other boots there were. 8 rugby boots and 12 hiking boots. 8 + 12 + 24 = 44.