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

Isolate y: Isolate y in the equation 3x+4y=7. To solve for y, we need to isolate y on one side of the equation. We can do this by subtracting 3x from both sides of the equation. 3x + 4y - 3x = 7 - 3x This simplifies to: 4y = 7 - 3xDivide sides: Divide both sides of the equation by 4 to solve for y. To get y by itself, we divide both sides of the equation by 4. (4y) / 4 = (7 - 3x) / 4 This simplifies to: y = (7/4) - (3/4)xRearrange terms: Rearrange the terms to match the answer choices. The expression for y can be written with the x term first, followed by the constant term, to match the format of the answer choices. y = -(3/4)x + (7/4)Match answer choice: Match the expression to the correct answer choice. The expression we found for y is y = -(3/4)x + (7/4), which matches answer choice (B).

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

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. If

3 x+4 y=7

, which of the following expressions is equivalent to

y

\newline

Choose

1

answer:

\newline

(A)

-3 x+7

\newline

(B)

-\frac{3}{4} x+\frac{7}{4}

\newline

(C)

\frac{3}{4} x+\frac{7}{4}

\newline

(D)

3 x+7

Isolate y: Isolate $y$ in the equation $3x+4y=7$ . To solve for $y$ , we need to isolate $y$ on one side of the equation. We can do this by subtracting $3x$ from both sides of the equation. $3x + 4y - 3x = 7 - 3x$ This simplifies to: $4y = 7 - 3x$
Divide sides: Divide both sides of the equation by $4$ to solve for $y$ . $\newline$ To get $y$ by itself, we divide both sides of the equation by $4$ . $\newline$ $\$\frac{4y}{4} = \frac{7 - 3x}{4}$ \) $\newline$ This simplifies to: $\newline$ $y = \frac{7}{4} - \frac{3}{4}x$
Rearrange terms: Rearrange the terms to match the answer choices. $\newline$ The expression for $y$ can be written with the $x$ term first, followed by the constant term, to match the format of the answer choices. $\newline$ $y = -\left(\frac{3}{4}\right)x + \left(\frac{7}{4}\right)$
Match answer choice: Match the expression to the correct answer choice. $\newline$ The expression we found for $y$ is $y = -\frac{3}{4}x + \frac{7}{4}$ , which matches answer choice (B).