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Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can’t find it. Where is Clare's mistake?

Clare was solving an equation but when she checked her answer she saw her solution was incorrect She knows she made a mistake but she cant find it Where is Clar class=

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xKelvin

Answer:

The Second Step.

Step-by-step explanation:

We are given the original equation:

[tex]12(5+2y)=4y-(5-9y)[/tex]

In her first step, Clare distributed both sides:

[tex]72+24y=4y-5-9y[/tex]

There are two errors:

First, the product of 5 and 12 is 60 and not 72.

Second, on the right-hand side of the equation, the negative must be distributed to all terms. Hence, the correct result should be:

[tex]\displaystyle 60 + 24y = 4y - 5 + 9y[/tex]

Instead of what she had obtained.

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