Which of the following is equivalent to 3x-4y=6 ? (A) y=-(6)/(7)x (B) y=-(3)/(4)x (C) y=(4)/(3)x+2 (D) y=(3)/(4)x-(3)/(2)

Move 3x term: Isolate the variable y in the equation 3x-4y=6. To do this, we need to move the term 3x to the other side of the equation by subtracting 3x from both sides. 3x - 4y - 3x = 6 - 3x This simplifies to: -4y = -3x + 6Divide by -4: Divide both sides of the equation by -4 to solve for y. -4y / -4 = (-3x + 6) / -4 This simplifies to: y = (3/4)x - (6/4)Simplify fraction: Simplify the fraction (6/4). 6/4 can be reduced to 3/2. So the equation becomes: y = (3/4)x - (3/2)Check options: Check the given options to see which one matches the simplified equation. The correct option should be y = (3/4)x - (3/2).

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Which of the following is equivalent to 3x-4y=6 ?
(A) y=-(6)/(7)x
(B) y=-(3)/(4)x
(C) y=(4)/(3)x+2
(D) y=(3)/(4)x-(3)/(2)

Which of the following is equivalent to $3 x-4 y=6$ ? $\newline$ (A) $y=-\frac{6}{7} x$ $\newline$ (B) $y=-\frac{3}{4} x$ $\newline$ (C) $y=\frac{4}{3} x+2$ $\newline$ (D) $y=\frac{3}{4} x-\frac{3}{2}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Which of the following is equivalent to

3 x-4 y=6

\newline

(A)

y=-\frac{6}{7} x

\newline

(B)

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

\newline

(C)

y=\frac{4}{3} x+2

\newline

(D)

y=\frac{3}{4} x-\frac{3}{2}

Move $3x$ term: Isolate the variable $y$ in the equation $3x-4y=6$ . To do this, we need to move the term $3x$ to the other side of the equation by subtracting $3x$ from both sides. $3x - 4y - 3x = 6 - 3x$ This simplifies to: $-4y = -3x + 6$
Divide by $-4$ : Divide both sides of the equation by $-4$ to solve for $y$ . $-4y / -4 = (-3x + 6) / -4$ This simplifies to: $y = (3/4)x - (6/4)$
Simplify fraction: Simplify the fraction $(\frac{6}{4})$ . $\frac{6}{4}$ can be reduced to $\frac{3}{2}$ . So the equation becomes: $y = (\frac{3}{4})x - (\frac{3}{2})$
Check options: Check the given options to see which one matches the simplified equation. $\newline$ The correct option should be $y = \frac{3}{4}x - \frac{3}{2}$ .