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GalinKa [24]
3 years ago
8

3. Error Analysis Isabel says that the equation x - 2 = -(x - 2) has no

Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Given:

The equation is

(x-2)=-(x-2)

Isabel says that the given equation has no  solution because a number can never be equal to its opposite.

To find:

Isabel's mistake.

Solution:

Her reason "a number can never be equal to its opposite" is not correct.

Zero is a number that can be equal to its opposite.

So, the given equation has solution for which LHS=RHS=0.

We have,

(x-2)=-(x-2)

x-2=-(x)-(-2)

x-2=-x+2

Add x and 2 on both sides.

x-2+x+2=-x+2+x+2

2x=4

Divide both sides by 2.

x=\dfrac{4}{2}

x=2

So, the given equation has a solution x=2.

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