Q. Which expression has the same value as −10x+7y ?−7y−(−10x)−10x−7y−10x−(−7y)7y−(−10x)
Analyze and Compare: Analyze the given expression and the options.We need to find an expression equivalent to −10x+7y. We will compare each option with the given expression to determine which one is equivalent.
First Option Comparison: Compare the first option with the given expression.The first option is −7y−(−10x). To see if this is equivalent to −10x+7y, we need to simplify the expression by distributing the negative sign in front of the parentheses.−7y−(−10x)=−7y+10xThis is not equivalent to −10x+7y because the terms are reversed and the coefficient of x is positive instead of negative.
Second Option Comparison: Compare the second option with the given expression.The second option is −10x−7y. This is not equivalent to −10x+7y because the sign in front of 7y is negative instead of positive.
Third Option Comparison: Compare the third option with the given expression.The third option is −10x−(−7y). To see if this is equivalent to −10x+7y, we need to simplify the expression by distributing the negative sign in front of the parentheses.−10x−(−7y)=−10x+7yThis is equivalent to the given expression −10x+7y.
Fourth Option Comparison: Compare the fourth option with the given expression.The fourth option is 7y−(−10x). To see if this is equivalent to −10x+7y, we need to simplify the expression by distributing the negative sign in front of the parentheses.7y−(−10x)=7y+10xThis is not equivalent to −10x+7y because the terms are reversed and the coefficient of x is positive instead of negative.
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