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If
3x+4y=7, which of the following expressions is equivalent to
y?
Choose 1 answer:
(A)
-3x+7
(B)
-(3)/(4)x+(7)/(4)
(c)
(3)/(4)x+(7)/(4)
(D)
3x+7

If $3x+4y=7$ , which of the following expressions is equivalent to $y$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-3x+7$ $\newline$ (B) $\frac{-3}{4}x$ $+$ $\frac{7}{4}$ $\newline$ (C) $\frac{3}{4}x$ $+$ $\frac{7}{4}$ $\newline$ (D) $3x+7$

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Multiplication with rational exponents

Full solution

Q. If

3x+4y=7

, which of the following expressions is equivalent to

y

?

\newline

Choose

1

answer:

\newline

(A)

-3x+7

\newline

(B)

\frac{-3}{4}x

+

\frac{7}{4}

\newline

(C)

\frac{3}{4}x

+

\frac{7}{4}

\newline

(D)

3x+7

Isolate y: Isolate $y$ in the equation $3x + 4y = 7$ . $\newline$ Subtract $3x$ from both sides: $\newline$ $4y = 7 - 3x$
Subtract $3x$ : Solve for $y$ by dividing all terms by $4$ . $\newline$ $y = \frac{7 - 3x}{4}$
Solve for y: Simplify the expression for y. $\newline$ $y = -\left(\frac{3}{4}\right)x + \left(\frac{7}{4}\right)$

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