Question

14. Which equation satisfies the given value of x = 4 and x = 3?​

Answer 1

Answer:

The value of x that satisfies the equation

x−3

4

+

x−5

5

=

x−13

9

is

MEDIUM

Share

Study later

ANSWER

Solve for x:

x−3

4

+

x−5

5

=

x−13

9

⟹

(x−3)(x−5)

4x−20+5x−15

=

x−13

9

⟹

(x

2

−8x+15)

9x−35

=

x−13

9

⟹(9x−35)(x−13)=9(x

2

−8x+15)

⟹9x

2

−117x−35x+455=9x

2

−72x+135

⟹−152x+455=−72x+135

⟹320=80x

⟹x=4