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Mara simplifies the expression: -(7x - 3y) + 2(x + 4). Her work is shown. In what step does she make a mistake?

User Delwin
by
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1 Answer

5 votes

Correct steps are shown

Correct simplified expression is:


-(7x - 3y) + 2(x+4) = -5x + 3y+8

Solution:

Given that: Mara simplifies the expression


-(7x - 3y) + 2(x+4)

Correct steps are:

From given,


-(7x - 3y) + 2(x+4)

Use the distributive property,

a(b + c) = ab + bc

Therefore,


-(7x - 3y) + 2(x+4) = -7x +3y + 2x + 8

Group the like terms


-(7x - 3y) + 2(x+4) = -7x + 2x + 3y + 8\\\\Combine\ the\ like\ terms\\\\-(7x - 3y) + 2(x+4) = -5x + 3y+8

Thus the expression is simplified

User ParaS ElixiR
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