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 variable y: Isolate the variable y in the equation 3x + 4y = 7. To do this, we need to move the term involving x to the other side of the equation by subtracting 3x from both sides. 3x + 4y - 3x = 7 - 3x This simplifies to: 4y = 7 - 3xDivide sides by 4: Divide both sides of the equation by 4 to solve for y. 4y / 4 = (7 - 3x) / 4 This simplifies to: y = (7 - 3x) / 4Simplify expression: Rewrite the expression in a more simplified form. y = (7/4) - (3/4)x This is equivalent to: y = -(3/4)x + (7/4)Match with answer choices: Match the simplified expression for y with the given answer choices. The expression y = -(3/4)x + (7/4) matches with choice (B) -(3/4)x + (7/4).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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) $3 x+7$

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent linear expressions

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 variable y: Isolate the variable $y$ in the equation $3x + 4y = 7$ . To do this, we need to move the term involving $x$ to the other side of the equation by subtracting $3x$ from both sides. $3x + 4y - 3x = 7 - 3x$ This simplifies to: $4y = 7 - 3x$
Divide sides by $4$ : Divide both sides of the equation by $4$ to solve for $y$ . $\frac{4y}{4} = \frac{(7 - 3x)}{4}$ This simplifies to: $y = \frac{(7 - 3x)}{4}$
Simplify expression: Rewrite the expression in a more simplified form. $\newline$ $y = \frac{7}{4} - \frac{3}{4}x$ $\newline$ This is equivalent to: $\newline$ $y = -\frac{3}{4}x + \frac{7}{4}$
Match with answer choices: Match the simplified expression for $y$ with the given answer choices. $\newline$ The expression $y = -\frac{3}{4}x + \frac{7}{4}$ matches with choice (B) $-\frac{3}{4}x + \frac{7}{4}$ .