Solve for u. u + 4/–3 = 1 u = _____

Rewrite Equation: Rewrite the equation to isolate the variable u. u + 4/(-3) = 1 To isolate u, subtract 4/(-3) from both sides. u + 4/(-3) - 4/(-3) = 1 - 4/(-3) u = 1 - 4/(-3)Isolate Variable: Simplify the right side of the equation. 1 - 4/(-3) can be simplified by dividing 4 by -3. u = 1 - (-4/3) u = 1 + 4/3Simplify Right Side: Convert 1 to a fraction with the same denominator as 4/3 to combine the terms. 1 can be written as 3/3 to have the same denominator as 4/3. u = 3/3 + 4/3Convert to Fraction: Add the fractions on the right side of the equation. 3/3 + 4/3 equals 7/3 when added together. u = 7/3

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $u$ . $\newline$ $u + \frac{4}{-3} = 1$ $\newline$ $u =$ _____

View step-by-step help

Home

Math Problems

Grade 8

Solve equations: mixed review

Full solution

Q. Solve for

u

\newline

u + \frac{4}{-3} = 1

\newline

u =

_____

Rewrite Equation: Rewrite the equation to isolate the variable $u$ .
$u + \frac{4}{(-3)} = 1$
To isolate $u$ , subtract $\frac{4}{(-3)}$ from both sides.
$u + \frac{4}{(-3)} - \frac{4}{(-3)} = 1 - \frac{4}{(-3)}$
$u = 1 - \frac{4}{(-3)}$
Isolate Variable: Simplify the right side of the equation. $\newline$ $1 - \frac{4}{(-3)}$ can be simplified by dividing $4$ by $-3$ . $\newline$ $u = 1 - \left(-\frac{4}{3}\right)$ $\newline$ $u = 1 + \frac{4}{3}$
Simplify Right Side: Convert $1$ to a fraction with the same denominator as $\frac{4}{3}$ to combine the terms. $\newline$ $1$ can be written as $\frac{3}{3}$ to have the same denominator as $\frac{4}{3}$ . $\newline$ $u = \frac{3}{3} + \frac{4}{3}$
Convert to Fraction: Add the fractions on the right side of the equation. $\newline$ $\frac{3}{3} + \frac{4}{3}$ equals $\frac{7}{3}$ when added together. $\newline$ $u = \frac{7}{3}$