Systems of Equations: Equal Values Mehtod

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What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does the equal values method involve?

Back

The equal values method involves setting the expressions for the same variable equal to each other to find the solution of a system of equations.

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How do you solve the system using the equal values method?

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1. Set the equations equal to each other. 2. Solve for one variable. 3. Substitute back to find the other variable.

Front

What is the first step in using the equal values method?

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The first step is to set the two equations equal to each other.

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If y = 6x + 3 and y = 4x - 15, what is the first equation to solve?

Back

6x + 3 = 4x - 15.

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What is the solution to the system y = 2x + 1 and y = 4x - 1?

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(1, 3).

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What does 's' represent in the equation 3s + 1c = 38?

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's' represents the number of senior citizen tickets sold.

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What does 'c' represent in the equation 3s + 2c = 52?

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'c' represents the number of child tickets sold.

Front

In the equation t + n = 54, what do 't' and 'n' represent?

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't' represents the price of the math textbook, and 'n' represents the price of the novel.

Front

What is the relationship between the price of the math textbook and the novel in the equation t = 3n + 8?

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The price of the math textbook is $8 more than three times the price of the novel.