Answer:
y = 1/2
Step-by-step explanation:
1) 10(1 - 2y) = -5(2y - 1)
- Multiply 10 into the parentheses, then multiply -5 into the parentheses.
2) 10 - 20y = -10y + 5
- Remember, double negatives when multiplying make positive numbers
- Next, switch -10y with 5 so you'll have like terms on each side.
3) 10y - 20y = -10 + 5
- When you switch terms, you change the signs of them to either negative/positive.
- Now, subtract 10y - 20y & add -10 & 5 together.
4) -10y = -5
5) y = -5/-10
- What is present above is not the correct answer. You must simplify the fraction, & make the fraction a positive one.
6) y = 1/2
Now you have your answer. 10(1 - 2y) = -5(2y -1) is 1/2 or 0.5
Here's how to check your answer.
10(1 - 2(1/2)) = -5(2(1/2) - 1)
10(1 - 1) = -5(1 - 1)
- 2 times 1/2 equals 2/2, which would then be revised to 1.
10(0) = -5(0)
0=0
