QuestionSeptember 19, 2025
8. Which of these below correctly solves for yof the equation 3x-2=4y+5 y=-3x-5 y=-(3)/(4)x+(7)/(4) y=(3)/(4)x-(7)/(4) y=3x+5
8. Which of these below correctly solves for yof the equation 3x-2=4y+5
y=-3x-5
y=-(3)/(4)x+(7)/(4)
y=(3)/(4)x-(7)/(4)
y=3x+5
Solution4.3(233 votes)
Answer
y = \frac{3}{4}x - \frac{7}{4} Explanation 1. Isolate y on one side Subtract 5 from both sides: 3x - 2 - 5 = 4y. 2. Simplify the equation 3x - 7 = 4y. 3. Solve for y Divide both sides by 4: y = \frac{3x - 7}{4}. 4. Rewrite in standard form y = \frac{3}{4}x - \frac{7}{4}.
Explanation
1. Isolate $y$ on one side<br /> Subtract 5 from both sides: $3x - 2 - 5 = 4y$.<br />2. Simplify the equation<br /> $3x - 7 = 4y$.<br />3. Solve for $y$<br /> Divide both sides by 4: $y = \frac{3x - 7}{4}$.<br />4. Rewrite in standard form<br /> $y = \frac{3}{4}x - \frac{7}{4}$.
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