Asked by Hannah
In which step is the error?
Step 1: Let x = 1 and y = 1.
Step 2: By substitution xy = y^2.
Step 3: Multiplying both sides by -1, -xy= -y^2.
Step 4: Adding x^2 to both sides, x^2-xy=x^2-y^2.
Step 5: Factoring, x(x-y)=(x+y)(x-y).
Step 6: Dividing both sides by x-y, x=x+y.
Step 7. By substitution, 1=1+1
Step 8: 1 = 2.
Step 1: Let x = 1 and y = 1.
Step 2: By substitution xy = y^2.
Step 3: Multiplying both sides by -1, -xy= -y^2.
Step 4: Adding x^2 to both sides, x^2-xy=x^2-y^2.
Step 5: Factoring, x(x-y)=(x+y)(x-y).
Step 6: Dividing both sides by x-y, x=x+y.
Step 7. By substitution, 1=1+1
Step 8: 1 = 2.
Answers
Answered by
Scott
step 6
x = y = 1
so division by x-y is division by zero
a BIG no-no
x = y = 1
so division by x-y is division by zero
a BIG no-no
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