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Which number can each term of the equation be multiplied by to eliminate the fractions before solving 6 and ndash x plus x plus 5?
To eliminate the fractions in the equation ( \frac{6}{x} - x + 5 = 0 ), you should multiply each term by ( x ), assuming ( x \neq 0 ). This will eliminate the fraction involving ( 6/x ) and simplify the equation to a polynomial form. After multiplying, you'll have ( 6 - x^2 + 5x = 0 ).
What else can I help you with?
How is solving an equation with fractions like solving an equation with whole numbers how is it different?
Solving an equation with fractions is similar to solving one with whole numbers in that both involve isolating the variable and maintaining balance throughout the equation. However, the presence of fractions often requires additional steps, such as finding a common denominator or multiplying through by that denominator to eliminate the fractions. This can make calculations more complex, but the fundamental principles of equality and operation remain the same in both cases. Ultimately, both types of equations aim to find the value of the variable that satisfies the equation.
How would decide what to do first when solving an equation involving fractions?
Eradicate the fractions.
How is solving an equation containing decimals similar to solving an equation containing fractions?
Fractions and decimals that represent the same value are equivalent. For example, 1//4 and 0.25 are equivalent.
Is The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation?
Yes, for solving simultaneous equations.
What does cross multiply mean?
Cross multiplying is a method used to solve equations involving fractions. It involves multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa. For example, in the equation (\frac{a}{b} = \frac{c}{d}), cross multiplying yields (a \cdot d = b \cdot c). This technique helps eliminate the fractions and simplifies the equation for easier solving.
How is solving an equation with fractions like solving an equation with whole numbers how is it different?
Solving an equation with fractions is similar to solving one with whole numbers in that both involve isolating the variable and maintaining balance throughout the equation. However, the presence of fractions often requires additional steps, such as finding a common denominator or multiplying through by that denominator to eliminate the fractions. This can make calculations more complex, but the fundamental principles of equality and operation remain the same in both cases. Ultimately, both types of equations aim to find the value of the variable that satisfies the equation.
How would decide what to do first when solving an equation involving fractions?
Eradicate the fractions.
How is solving an equation containing decimals similar to solving an equation containing fractions?
Fractions and decimals that represent the same value are equivalent. For example, 1//4 and 0.25 are equivalent.
Is The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation?
Yes, for solving simultaneous equations.
When solving an equation how can you tell the variable is by itself?
there is nothing being added or multiplied to it, and it is on its own side of the equal sign
Solving equations with fractions 2-6?
8
What does cross multiply mean?
Cross multiplying is a method used to solve equations involving fractions. It involves multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa. For example, in the equation (\frac{a}{b} = \frac{c}{d}), cross multiplying yields (a \cdot d = b \cdot c). This technique helps eliminate the fractions and simplifies the equation for easier solving.
When solving an equation using the distributive property of the number being distributed are fractions what is your first step?
When solving an equation using the distributive property with fractions, your first step is to distribute the fraction across the terms inside the parentheses. This involves multiplying the fraction by each term within the parentheses separately. After distributing, combine like terms if necessary and simplify the equation to isolate the variable.
What is the first step in solving a equation?
The first step in solving an equation is to simplify both sides as much as possible. This may involve combining like terms, distributing any factors, or eliminating fractions if necessary. After simplification, you can isolate the variable by performing inverse operations, ensuring that you maintain the balance of the equation.
In solving a fraction equation John added the numerators of several fractions with unlike denominators. What should John have done first?
John should have first found the lowest common denominator of the given fractions.
The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation? true or false?
True. The elimination method is a technique used in solving systems of equations where you can eliminate one variable by adding or subtracting equations. This simplifies the system, allowing for easier solving of the remaining variable. It is particularly effective when the coefficients of one variable are opposites or can be made to be opposites.
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
