Q. Which expression is equivalent to −3x−7y ?7y−(−3x)−7y+3x−3x+(−7y)−7y−(−3x)
Understand the problem: Understand the problem.We need to find the expression that is equivalent to −3x−7y. This means we are looking for an expression that has the same terms and coefficients as −3x−7y.
Compare expressions: Compare the given expressions with −3x−7y.We will compare each expression one by one to see if they are equivalent to −3x−7y.Expression A: 7y−(−3x)This expression can be simplified by removing the parentheses and changing the sign of the term inside the parentheses, which gives us 7y+3x. This is not equivalent to −3x−7y because the signs of the terms are different.
Check Expression A: Check the second expression.Expression B: −7y+3xThis expression has the same coefficients as −3x−7y but the terms are in reverse order and the sign of the first term is different. This is not equivalent to −3x−7y because the sign of the y term is different.
Check Expression B: Check the third expression.Expression C: −3x+(−7y)This expression is the same as −3x−7y because adding a negative is the same as subtracting. Therefore, this expression is equivalent to −3x−7y.
Check Expression C: Check the fourth expression.Expression D: −7y−(−3x)This expression can be simplified by removing the parentheses and changing the sign of the term inside the parentheses, which gives us −7y+3x. This is not equivalent to −3x−7y because the signs of the terms are different.
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