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Which expression has the same value as 6x-4y ? -4y+(-6x) 4y-6x 6x-(-4y) 6x+(-4y)

Which expression has the same value as 6x−4y 6 x-4 y ?\newline−4y+(−6x) -4 y+(-6 x) \newline4y−6x 4 y-6 x \newline6x−(−4y) 6 x-(-4 y) \newline6x+(−4y) 6 x+(-4 y)

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Full solution

Q. Which expression has the same value as 6x−4y 6 x-4 y ?\newline−4y+(−6x) -4 y+(-6 x) \newline4y−6x 4 y-6 x \newline6x−(−4y) 6 x-(-4 y) \newline6x+(−4y) 6 x+(-4 y)
  1. Compare with first choice: Compare the given expression with the first choice.\newlineThe given expression is 6x−4y6x - 4y. The first choice is −4y+(−6x)-4y + (-6x).\newlineWe need to check if the order of the terms affects the value of the expression.\newline−4y+(−6x)-4y + (-6x) is the same as −4y−6x-4y - 6x, which is not the same as 6x−4y6x - 4y because the order of the terms and their signs are different.
  2. Compare with second choice: Compare the given expression with the second choice.\newlineThe second choice is 4y−6x4y - 6x.\newlineThis is not the same as 6x−4y6x - 4y because the terms and their coefficients are reversed and the signs are different.
  3. Compare with third choice: Compare the given expression with the third choice.\newlineThe third choice is 6x−(−4y)6x - (-4y).\newlineThis simplifies to 6x+4y6x + 4y, which is not the same as 6x−4y6x - 4y because the sign in front of 4y4y is different.
  4. Compare with fourth choice: Compare the given expression with the fourth choice.\newlineThe fourth choice is 6x+(−4y)6x + (-4y).\newlineThis simplifies to 6x−4y6x - 4y, which is exactly the same as the given expression.\newlineTherefore, 6x+(−4y)6x + (-4y) has the same value as 6x−4y6x - 4y.

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