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Which of the following correctly expresses y as the subject of the formula $3x - 4y - 1 = 0$? A - HSC - SSCE Mathematics Standard - Question 11 - 2019 - Paper 1

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Which-of-the-following-correctly-expresses-y-as-the-subject-of-the-formula-$3x---4y---1-=-0$?--A-HSC-SSCE Mathematics Standard-Question 11-2019-Paper 1.png

Which of the following correctly expresses y as the subject of the formula $3x - 4y - 1 = 0$? A. $y = \frac{3}{4} - 1$ B. $y = \frac{3}{4} + 1$ C. $y = \frac{3x -... show full transcript

Worked Solution & Example Answer:Which of the following correctly expresses y as the subject of the formula $3x - 4y - 1 = 0$? A - HSC - SSCE Mathematics Standard - Question 11 - 2019 - Paper 1

Step 1

Rearranging the equation to isolate y

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Answer

Start with the original equation:

3x4y1=03x - 4y - 1 = 0

To isolate yy, first move 3x3x and 1-1 to the other side:

4y=3x+1-4y = -3x + 1

Dividing through by -4 gives:

y=3x14y = \frac{3x - 1}{4}

Step 2

Identifying the correct option

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Answer

From the rearrangement steps, we find that the expression for yy is:

y=3x14y = \frac{3x - 1}{4}

Thus, the correct answer corresponds to option C.

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