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

Step 1: Solve for y: To find an expression equivalent to x, we need to solve the equation y = (1/4)x + 1 for x.Step 2: Isolate terms with x: Subtract 1 from both sides of the equation to isolate terms with x on one side: y - 1 = (1/4)x + 1 - 1 y - 1 = (1/4)xStep 3: Multiply both sides by 4: Multiply both sides of the equation by 4 to solve for x: 4(y - 1) = 4 * (1/4)x 4y - 4 = xStep 4: Final expression for x: We have found that x is equivalent to 4y - 4, which corresponds to option (A).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

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

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. If

y=\frac{1}{4} x+1

, which of the following expressions is equivalent to

x

\newline

Choose

1

answer:

\newline

(A)

4 y-4

\newline

(B)

4 y-1

\newline

(C)

y-1

\newline

(D)

\frac{1}{4} y+1

Solve for $y$ : To find an expression equivalent to $x$ , we need to solve the equation $y = (\frac{1}{4})x + 1$ for $x$ .
Isolate terms with $x$ : Subtract $1$ from both sides of the equation to isolate terms with $x$ on one side: $\newline$ $y - 1 = \frac{1}{4}x + 1 - 1$ $\newline$ $y - 1 = \frac{1}{4}x$
Multiply both sides by $4$ : Multiply both sides of the equation by $4$ to solve for $x$ : $4(y - 1) = 4 \times (\frac{1}{4})x$ $4y - 4 = x$
Final expression for x: We have found that $x$ is equivalent to $4y - 4$ , which corresponds to option (A).