When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
Answer:
\(35x-35y+21\) is the resulting expression
Step-by-step explanation:
Simplify the expression: \(0.5(20x-50y+36)-0.25(-100x+40y-12)\)
The distributive property says that:
\(a\cdot (b+c) = a\cdot b+ a\cdot c\)
Apply the distributive property we have;
\(10x-25y+18-(-25x+10y-3)\)
remove the open bracket and distribute -1 into each terms.
\(10x-25y+18+25x-10y+3\)
Combine like terms;
\(35x-35y+21\)
Therefore, the resulting expression we get, \(35x-35y+21\)