12. When Raphael solved the system below by using the method of elimination, he changed the second equation to -8x – 2y=-2. What property justifies this manipulation?
8x + 3y = 7
4x + y = 1

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups

Which number line correctly shows 0.8 + 0.3?

Rationalize the denominator- 12x/√x-10