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If 
7x-6y=-9 is a true equation, what would be the value of 
-3(7x-6y) ?
Answer:

If 7x6y=9 7 \mathbf{x}-6 \mathbf{y}=-9 is a true equation, what would be the value of 3(7x6y) -\mathbf{3}(7 \mathrm{x}-6 \mathbf{y}) ?\newlineAnswer:

Full solution

Q. If 7x6y=9 7 \mathbf{x}-6 \mathbf{y}=-9 is a true equation, what would be the value of 3(7x6y) -\mathbf{3}(7 \mathrm{x}-6 \mathbf{y}) ?\newlineAnswer:
  1. Apply Distributive Property: We are given the equation 7x6y=97x - 6y = -9. We need to find the value of 3(7x6y)-3(7x - 6y).\newlineFirst, we apply the distributive property to 3(7x6y)-3(7x - 6y).\newline3(7x)+3(6y)=21x+18y-3(7x) + -3(-6y) = -21x + 18y.
  2. Substitute Given Value: Since we know that 7x6y=97x - 6y = -9, we can substitute 9-9 for 7x6y7x - 6y in the expression 3(7x6y)-3(7x - 6y). So, 3(7x6y)-3(7x - 6y) becomes 3(9)-3(-9).
  3. Multiply to Find Value: Now, we multiply 3-3 by 9-9 to find the value.\newline3×9=27-3 \times -9 = 27.

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