Question

100 Points

Solve for X

Answer 1

a) x = 7

b) x = 2

Explanation:

5 ( x + 5 ) = 6 ( 6 +4 )

⇒ Expand brackets

5 x + 25 = 36 + 24

⇒ Simplify

5 x + 25 = 60

⇒ Minus 25 from both sides to isolate 5 x

5 x = 35

x = 7

3 ( 3 + 5 ) = 4 ( x + 4 )

⇒ Expand brackets

9 + 15 = 4 x + 16

⇒ Simplify

24 = 4 x + 16

⇒ Minus 16 from both sides to isolate 4 x

8 = 4 x

⇒ Divide both sides by 4 to isolate x

2 = x

Answer 2

a) By the rules of secants,
5(x +5) = 6(6 +4)
x + 5 = 12
x = 7


b) 3(3 +5) = 4(x +4)
6 = x +4
2 = x