Answer:
x = 4
Step-by-step explanation:
DE is parallel to AC and intersects the other 2 sides. It divides those sides proportionally, that is
=
, thus
=
( cross- multiply )
2(10 - x) = 3x ← distribute left side
20 - 2x = 3x ( subtract 3x from both sides )
20 - 5x = 0 ( subtract 20 from both sides )
- 5x = - 20 ( divide both sides by - 5 )
x = 4
Answer:
The answer is:
She used the wrong common denominator
Step-by-step explanation:
Solving the given equation
Lets consider the steps given in the question:
Lets compare both solutions:
In the original solution, the denominator of first term is (x-2)(x-3)
In the solution given in the question, the denominator of first term is (x-2)(x+3).
So the mistake she did in step 2 was that she change the sign of 3 in (x-3) from negative to positive, due to which she gets the wrong common denominator shown in Step 3.