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Which expression has the same value as 
-10 x+7y ?

-7y-(-10 x)

-10 x-7y

-10 x-(-7y)

7y-(-10 x)

Which expression has the same value as 10x+7y -10 x+7 y ?\newline7y(10x) -7 y-(-10 x) \newline10x7y -10 x-7 y \newline10x(7y) -10 x-(-7 y) \newline7y(10x) 7 y-(-10 x)

Full solution

Q. Which expression has the same value as 10x+7y -10 x+7 y ?\newline7y(10x) -7 y-(-10 x) \newline10x7y -10 x-7 y \newline10x(7y) -10 x-(-7 y) \newline7y(10x) 7 y-(-10 x)
  1. Analyze and Compare: Analyze the given expression and the options.\newlineWe need to find an expression equivalent to 10x+7y-10x + 7y. We will compare each option with the given expression to determine which one is equivalent.
  2. First Option Comparison: Compare the first option with the given expression.\newlineThe first option is 7y(10x)-7y - (-10x). To see if this is equivalent to 10x+7y-10x + 7y, we need to simplify the expression by distributing the negative sign in front of the parentheses.\newline7y(10x)=7y+10x-7y - (-10x) = -7y + 10x\newlineThis is not equivalent to 10x+7y-10x + 7y because the terms are reversed and the coefficient of xx is positive instead of negative.
  3. Second Option Comparison: Compare the second option with the given expression.\newlineThe second option is 10x7y-10x - 7y. This is not equivalent to 10x+7y-10x + 7y because the sign in front of 7y7y is negative instead of positive.
  4. Third Option Comparison: Compare the third option with the given expression.\newlineThe third option is 10x(7y)-10x - (-7y). To see if this is equivalent to 10x+7y-10x + 7y, we need to simplify the expression by distributing the negative sign in front of the parentheses.\newline10x(7y)=10x+7y-10x - (-7y) = -10x + 7y\newlineThis is equivalent to the given expression 10x+7y-10x + 7y.
  5. Fourth Option Comparison: Compare the fourth option with the given expression.\newlineThe fourth option is 7y(10x)7y - (-10x). To see if this is equivalent to 10x+7y-10x + 7y, we need to simplify the expression by distributing the negative sign in front of the parentheses.\newline7y(10x)=7y+10x7y - (-10x) = 7y + 10x\newlineThis is not equivalent to 10x+7y-10x + 7y because the terms are reversed and the coefficient of xx is positive instead of negative.

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