Q. Which expression is equivalent to −9x−(−6y) ?6y+9x9x+6y−9x+6y−9x−6y
Simplify Expression: Simplify the expression by removing the parentheses.−9x−(−6y) can be simplified by recognizing that subtracting a negative is the same as adding a positive.So, −9x−(−6y) becomes −9x+6y.
Combine Like Terms: Check for any like terms that can be combined.In the expression −9x+6y, there are no like terms since x and y are different variables.Therefore, the expression remains as −9x+6y.
Compare with Options: Compare the simplified expression with the given options.The simplified expression is −9x+6y. Now, let's compare it with the given options:A) 6y+9x (This is not equivalent because the signs are different.)B) 9x+6y (This is not equivalent because the signs are different.)C) −9x+6y (This is equivalent to our simplified expression.)D) −9x−6y (This is not equivalent because it suggests subtracting 6y, not adding.)The correct equivalent expression is option C) −9x+6y.
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