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$Solve for a. Express your answer as a proper or improper fraction in simplest terms. -(7)/(8)=(7)/(11)a+(1)/(8) Answer: a=$

Solve for $a$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $-\frac{7}{8}=\frac{7}{11} a+\frac{1}{8}$ $\newline$ Answer: $a=$

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Find the roots of factored polynomials

Full solution

Q. Solve for

a

. Express your answer as a proper or improper fraction in simplest terms.

\newline

-\frac{7}{8}=\frac{7}{11} a+\frac{1}{8}

\newline

Answer:

a=

Isolate variable term: First, we need to isolate the term containing the variable $a$ on one side of the equation. To do this, we will subtract $(1/8)$ from both sides of the equation to eliminate the constant term on the right side. $\newline$ $-(7/8) - (1/8) = (7/11)a + (1/8) - (1/8)$
Combine like terms: Now, we combine the like terms on the left side of the equation. $\newline$ $-\frac{7}{8} - \frac{1}{8} = -\frac{8}{8} = -1$ $\newline$ So, the equation becomes: $\newline$ $-1 = \frac{7}{11}a$
Divide by $(7/11)$ : Next, we will divide both sides of the equation by $(7/11)$ to solve for $a$ . $-1 / (7/11) = a$
Multiply by reciprocal: To divide by a fraction, we multiply by its reciprocal. The reciprocal of $(\frac{7}{11})$ is $(\frac{11}{7})$ . $\newline$ $-1 \times (\frac{11}{7}) = a$
Perform multiplication: Now, we perform the multiplication to find the value of $a$ . $a = -1 \times (\frac{11}{7}) = -(\frac{11}{7})$

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