Question

Find the value of each variable.
x = _____
y = _____

Answer 1

x = x + 2 = 7, x

y =y = x2

This is the correct answer so thanks me when done

Answer 2

x = 15 , y = 7

Explanation:

2(5x - 5) and (3x - 5) are a linear pair and sum to 180° , that is

2(5x - 5) + (3x - 5) = 180 ← distribute the parenthesis on the left side

10x - 10 + 3x - 5 = 180

13x - 15 = 180 ( add 15 to both sides )

13x = 195 ( divide both sides by 13 )

x = 15

---------------

3x - 5 = 3(15) - 5 = 45 - 5 = 40

3x - 5 and 5y + 5 are vertically opposite angles and are congruent, so

5y + 5 = 40 ( subtract 5 from both sides )

5y = 35 ( divide both sides by 5 )

y = 7