Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which value of
x satisfies the equation
(1)/(2)(x-(5)/(3))=-(13)/(3) ?
7

-8
8

-7

Which value of $x$ satisfies the equation $\frac{1}{2}\left(x-\frac{5}{3}\right)=-\frac{13}{3}$ ? $\newline$ $7$ $\newline$ $-8$ $\newline$ $8$ $\newline$ $-7$

View step-by-step help

View step-by-step help

Full solution

Q. Which value of

x

satisfies the equation

\frac{1}{2}\left(x-\frac{5}{3}\right)=-\frac{13}{3}

?

\newline

7

\newline

-8

\newline

8

\newline

-7

Write Equation: Write down the equation and simplify it if possible. $\newline$ $\frac{1}{2}(x-\frac{5}{3})=-\frac{13}{3}$
Eliminate Fraction: Multiply both sides of the equation by $2$ to eliminate the fraction on the left side. $\newline$ $2 \times \frac{1}{2}(x-\frac{5}{3}) = 2 \times \left(-\frac{13}{3}\right)$ $\newline$ $x - \frac{5}{3} = -\frac{26}{3}$
Isolate x: Add $(5)/(3)$ to both sides of the equation to isolate x. $\newline$ $x - \frac{5}{3} + \frac{5}{3} = -\frac{26}{3} + \frac{5}{3}$ $\newline$ $x = -\frac{26}{3} + \frac{5}{3}$
Combine Fractions: Combine the fractions on the right side of the equation. $\newline$ $x = -\frac{26}{3} + \frac{5}{3}$ $\newline$ $x = \left[-\left(26\right) + 5\right] / 3$ $\newline$ $x = -\frac{21}{3}$
Find x Value: Simplify the fraction to find the value of $x$ . $x = \frac{-21}{3}$ $x = -7$

More problems from Powers of i

Question

\newline

8i + 6i

\newline

\newline

Write your answer in the form

a + bi

\newline

\underline{\hspace{1cm}}

\newline

Posted 2 months ago

Question

Find the complex conjugate of the given number.

\newline

4 + 10i

\newline

\newline

Write your answer in the form

a + bi

\newline

Posted 1 month ago

Question

\newline

\frac{{-4i}}{{-9i}}

\newline

\newline

Write your answer in the form

a + bi

. Reduce all fractions.

\newline

\_\_\_\_\_

\newline

Posted 1 month ago

Question

Combine the like terms to create an equivalent expression.

\newline

7k-k+19=\boxed{\phantom{0}}

Posted 4 months ago

Question

Apply the distributive property to factor out the greatest common factor.

\newline

9+12 n=

Posted 1 month ago

Question

Solve the equation.

\newline

\begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}

Posted 4 months ago

Question

What is the amplitude of

y=-\sin (8 x-3)+5

\newline

Posted 2 months ago

Question

What is the period of

\newline

y=4 \sin (-2 x+7)-1 \text { ? }

\newline

Give an exact value.

\newline

Posted 1 month ago

Question

3 \cdot(3+20 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

Posted 3 months ago

Question

(35-23 i)+(13+25 i)=

\newline

Express your answer in the form

(a+b i)

Posted 1 month ago