solve equation x-5/x-3= x-4/x-6
Answers
Answered by
10
Given: The equation: x-5/x-3= x-4/x-6
To find: Solve the equation?
Solution:
- Now we have given:
x-5/x-3= x-4/x-6
- Cross multiplying it, we get:
(x-5) (x-6) = (x-4) (x-3)
- Now expanding, we get:
x² - 6x - 5x + 30 = x² - 3x - 4x + 12
-11x + 30 = -7x + 12
30 - 12 = 11x - 7x
18 = 5x
x = 18/5
Answer:
So the value of x is 18/5.
Answered by
3
Answer:
18/5
Step-by-step explanation:
x-5/x-3= x-4/x-6
= (x-5) (x-6) = (x-4) (x-3)
Expand them ;
x² - 6x - 5x + 30 = x² - 3x - 4x + 12
-11x + 30 = -7x + 12
30 - 12 = 11x - 7x
18 = 5x
x = 18/5
Hope it helps ^_^
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