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
Question 11
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:
3x−4y−1=0
To isolate y, first move 3x and −1 to the other side:
−4y=−3x+1
Dividing through by -4 gives:
y=43x−1
Step 2
Identifying the correct option
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Answer
From the rearrangement steps, we find that the expression for y is: