Solving Linear Equations
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Questions and Answers

What is the first step in solving a linear equation?

Isolating the variable (x) by adding or subtracting the same value to or from both sides of the equation.

Solve the equation 3x - 19 = -13. What is the value of x?

x = 2

How do you solve an equation with fractions, such as 3x/4 = 5?

Multiply both sides by the denominator (4) to eliminate the fraction, then solve for x.

What is the key to solving equations with multiple variables, such as 2x + 5 = 11?

<p>Isolating the variable by subtracting 5 from both sides and then dividing by 2.</p> Signup and view all the answers

How do you solve an equation with decimals, such as 2.5x = 7.5?

<p>Multiply both sides by the reciprocal of the decimal coefficient (2.5) to solve for x.</p> Signup and view all the answers

What is the importance of checking your solution in linear equations?

<p>Verifying that the solution satisfies the original equation.</p> Signup and view all the answers

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