Podcast
Questions and Answers
What is the simplified form of the numerator in the given equation?
What is the simplified form of the numerator in the given equation?
What is the simplified form of the denominator in the given equation?
What is the simplified form of the denominator in the given equation?
What is the final simplified form of the equation $\frac{(y - (7 - 8)y)}{(9y - (3 + 4)y)} = \frac{2}{3}$ ?
What is the final simplified form of the equation $\frac{(y - (7 - 8)y)}{(9y - (3 + 4)y)} = \frac{2}{3}$ ?
Solving the simplified equation, what is the value of $y$?
Solving the simplified equation, what is the value of $y$?
Signup and view all the answers
Which form below correctly represents the simplified value of the numerator?
Which form below correctly represents the simplified value of the numerator?
Signup and view all the answers
What is the simplified form of the expression $7 - 8$?
What is the simplified form of the expression $7 - 8$?
Signup and view all the answers
What does the expression $(3 - 4y)^2$ expand to?
What does the expression $(3 - 4y)^2$ expand to?
Signup and view all the answers
Simplify $y - (-1)y$.
Simplify $y - (-1)y$.
Signup and view all the answers
What is the simplified form of the denominator $9y$?
What is the simplified form of the denominator $9y$?
Signup and view all the answers
What is $-2/9$ when the common terms are factorized?
What is $-2/9$ when the common terms are factorized?
Signup and view all the answers
What is the first step in solving the equation $\frac{x}{4} + \frac{3}{2} = \frac{5}{8}$?
What is the first step in solving the equation $\frac{x}{4} + \frac{3}{2} = \frac{5}{8}$?
Signup and view all the answers
After subtracting $\frac{3}{2}$ from both sides, what is the resulting equation?
After subtracting $\frac{3}{2}$ from both sides, what is the resulting equation?
Signup and view all the answers
What is the next step after obtaining $\frac{x}{4} = \frac{-7}{8}$?
What is the next step after obtaining $\frac{x}{4} = \frac{-7}{8}$?
Signup and view all the answers
What is the value of x when $\frac{x}{4} = \frac{-7}{8}$?
What is the value of x when $\frac{x}{4} = \frac{-7}{8}$?
Signup and view all the answers
Which of the following checks the solution x of $\frac{x}{4} + \frac{3}{2} = \frac{5}{8}$?
Which of the following checks the solution x of $\frac{x}{4} + \frac{3}{2} = \frac{5}{8}$?
Signup and view all the answers
What is the simplified form of the left-hand side of the equation?
What is the simplified form of the left-hand side of the equation?
Signup and view all the answers
What is the correct representation of the numerator of the left-hand expression?
What is the correct representation of the numerator of the left-hand expression?
Signup and view all the answers
What is the correct representation of the denominator of the left-hand expression?
What is the correct representation of the denominator of the left-hand expression?
Signup and view all the answers
What is the result when the left-hand side of the equation is simplified?
What is the result when the left-hand side of the equation is simplified?
Signup and view all the answers
What is the value of $y$ that satisfies the equation?
What is the value of $y$ that satisfies the equation?
Signup and view all the answers
What is the value of $4 - (3 - 9)$?
What is the value of $4 - (3 - 9)$?
Signup and view all the answers
What is the result of $2 - 8$?
What is the result of $2 - 8$?
Signup and view all the answers
What is the simplified value of $\frac{-6}{10}$?
What is the simplified value of $\frac{-6}{10}$?
Signup and view all the answers
What is the numerator in the simplified form of the expression $\frac{2 - 8}{4 - (3 - 9)}$?
What is the numerator in the simplified form of the expression $\frac{2 - 8}{4 - (3 - 9)}$?
Signup and view all the answers
What is the correct simplified form of the expression $\frac{2 - 8}{10}$?
What is the correct simplified form of the expression $\frac{2 - 8}{10}$?
Signup and view all the answers
What is the simplified form of the numerator of the expression?
What is the simplified form of the numerator of the expression?
Signup and view all the answers
What is the simplified form of the denominator of the expression?
What is the simplified form of the denominator of the expression?
Signup and view all the answers
How do you simplify $(3 - 4y)^2$?
How do you simplify $(3 - 4y)^2$?
Signup and view all the answers
What is the final simplified form of $rac{y - (7 - 8)y}{9y - (3 - 4y)^2}$?
What is the final simplified form of $rac{y - (7 - 8)y}{9y - (3 - 4y)^2}$?
Signup and view all the answers
What values of $y$ satisfy the equality $rac{7y}{25y^2 - 24y + 9} = rac{2}{3}$?
What values of $y$ satisfy the equality $rac{7y}{25y^2 - 24y + 9} = rac{2}{3}$?
Signup and view all the answers
What is the simplified form of the numerator $y - (7 - 8y)$?
What is the simplified form of the numerator $y - (7 - 8y)$?
Signup and view all the answers
What is the simplified form of the denominator $9y - (6 + 4y)$?
What is the simplified form of the denominator $9y - (6 + 4y)$?
Signup and view all the answers
What is the final simplified form of the fraction before solving for $y$?
What is the final simplified form of the fraction before solving for $y$?
Signup and view all the answers
What is the first step to solve the equation $\frac{-7 + 9y}{5y - 6} = \frac{2}{3}$?
What is the first step to solve the equation $\frac{-7 + 9y}{5y - 6} = \frac{2}{3}$?
Signup and view all the answers
After cross multiplying, which equation do you get?
After cross multiplying, which equation do you get?
Signup and view all the answers
What is the first step in solving the equation $\frac{y-(7-8y)}{9y-(3+4y)}=\frac{2}{3}$?
What is the first step in solving the equation $\frac{y-(7-8y)}{9y-(3+4y)}=\frac{2}{3}$?
Signup and view all the answers
After cross-multiplying, what does the equation $\frac{y-(7-8y)}{9y-(3+4y)}=\frac{2}{3}$ become?
After cross-multiplying, what does the equation $\frac{y-(7-8y)}{9y-(3+4y)}=\frac{2}{3}$ become?
Signup and view all the answers
What is the simplified form of $y-(7-8y)$?
What is the simplified form of $y-(7-8y)$?
Signup and view all the answers
If $\frac{y - (7 - 8y)}{9y - (3 + 4y)} = \frac{2}{3}$ is simplified further, what does $9y - (3 + 4y)$ become?
If $\frac{y - (7 - 8y)}{9y - (3 + 4y)} = \frac{2}{3}$ is simplified further, what does $9y - (3 + 4y)$ become?
Signup and view all the answers
After simplifying and solving $\frac{y - (7 - 8y)}{9y - (3 + 4y)} = \frac{2}{3}$, what is the value of $y$?
After simplifying and solving $\frac{y - (7 - 8y)}{9y - (3 + 4y)} = \frac{2}{3}$, what is the value of $y$?
Signup and view all the answers
What is the simplified form of the expression $y - (7 - 8y)$?
What is the simplified form of the expression $y - (7 - 8y)$?
Signup and view all the answers
What is the simplified form of the expression $9y - (3 - 4y)$?
What is the simplified form of the expression $9y - (3 - 4y)$?
Signup and view all the answers
What is the combined simplified form of the denominator $9y - 3 + 4y$?
What is the combined simplified form of the denominator $9y - 3 + 4y$?
Signup and view all the answers
After simplifying the equation to $rac{8y - 7}{13y - 3} = rac{2}{3}$, what should the next step be to solve for $y$?
After simplifying the equation to $rac{8y - 7}{13y - 3} = rac{2}{3}$, what should the next step be to solve for $y$?
Signup and view all the answers
What is the final value of $y$ after solving $3(8y - 7) = 2(13y - 3)$?
What is the final value of $y$ after solving $3(8y - 7) = 2(13y - 3)$?
Signup and view all the answers
What is the first step to simplify the expression in the numerator $y - (7 - 8y)$?
What is the first step to simplify the expression in the numerator $y - (7 - 8y)$?
Signup and view all the answers
What does the expression $y - (7 - 8y)$ simplify to?
What does the expression $y - (7 - 8y)$ simplify to?
Signup and view all the answers
What is the correct expansion of $(3 + 4y)^2$?
What is the correct expansion of $(3 + 4y)^2$?
Signup and view all the answers
After simplifying the fraction on the left side of the equation, what is the denominator?
After simplifying the fraction on the left side of the equation, what is the denominator?
Signup and view all the answers
What value of $y$ solves the equation $\frac{(9y - 7)}{(-9 + 24y - 16y^2)} = \frac{2}{3}$?
What value of $y$ solves the equation $\frac{(9y - 7)}{(-9 + 24y - 16y^2)} = \frac{2}{3}$?
Signup and view all the answers
Study Notes
Simplifying Algebraic Expressions
- The given expression is
y = (7 - 8)y - 2 / 9y - (3 - 4y)^2, which can be rewritten in different forms. - Another form of the expression is
y - (7 - 8)y / 9y - (3 - 4)y = 2 / 3. - The expression can also be written as
y - (7 - 8)y / 9y - (3 + 4)y = 2 / 3. - The expression
y - (7 - 8)y / 9y - (6 + 4)y = 2 / 3is also an equivalent form. - The expression
y - (7 - 8)y / 9y - (3 - 4)y^2 = 2 / 3is another way to rewrite the original expression.
Evaluating Expressions
- The expression
y = (2 - 8) / (4 - (3 - 9))can be simplified toy = (2 - 8) / (4 + 6). - Further simplification leads to
y = (-6) / 10, which equals-3 / 5. - Therefore, the final simplified value of
yis-3 / 5.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Solve the algebraic equation involving multiple variables and operations. Practice your algebra skills with this challenging equation.
