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Which expression is equivalent to 
-3x-7y ?

7y-(-3x)

-7y+3x

-3x+(-7y)

-7y-(-3x)

Which expression is equivalent to 3x7y -3 x-7 y ?\newline7y(3x) 7 y-(-3 x) \newline7y+3x -7 y+3 x \newline3x+(7y) -3 x+(-7 y) \newline7y(3x) -7 y-(-3 x)

Full solution

Q. Which expression is equivalent to 3x7y -3 x-7 y ?\newline7y(3x) 7 y-(-3 x) \newline7y+3x -7 y+3 x \newline3x+(7y) -3 x+(-7 y) \newline7y(3x) -7 y-(-3 x)
  1. Understand the problem: Understand the problem.\newlineWe need to find the expression that is equivalent to 3x7y-3x - 7y. This means we are looking for an expression that has the same terms and coefficients as 3x7y-3x - 7y.
  2. Compare expressions: Compare the given expressions with 3x7y-3x - 7y.\newlineWe will compare each expression one by one to see if they are equivalent to 3x7y-3x - 7y.\newlineExpression A: 7y(3x)7y - (-3x)\newlineThis expression can be simplified by removing the parentheses and changing the sign of the term inside the parentheses, which gives us 7y+3x7y + 3x. This is not equivalent to 3x7y-3x - 7y because the signs of the terms are different.
  3. Check Expression A: Check the second expression.\newlineExpression B: 7y+3x-7y + 3x\newlineThis expression has the same coefficients as 3x7y-3x - 7y but the terms are in reverse order and the sign of the first term is different. This is not equivalent to 3x7y-3x - 7y because the sign of the yy term is different.
  4. Check Expression B: Check the third expression.\newlineExpression C: 3x+(7y)-3x + (-7y)\newlineThis expression is the same as 3x7y-3x - 7y because adding a negative is the same as subtracting. Therefore, this expression is equivalent to 3x7y-3x - 7y.
  5. Check Expression C: Check the fourth expression.\newlineExpression D: 7y(3x)-7y - (-3x)\newlineThis expression can be simplified by removing the parentheses and changing the sign of the term inside the parentheses, which gives us 7y+3x-7y + 3x. This is not equivalent to 3x7y-3x - 7y because the signs of the terms are different.

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