Problem 93
Question
In your own words, describe how to solve a linear equation.
Step-by-Step Solution
Verified Answer
The solution to a linear equation can be found by simplifying the equation, isolating the unknown, and evaluating the solution.
1Step 1: Identify and Simplify the Equation
The first step is to identify the equation and simplify it if required. Cancel out any like terms on each side of the equation, and simplify any complex factors. This will make the equation easier to handle.
2Step 2: Isolate the Unknown
In order to solve for the unknown value, it needs to be isolated on one side of the equation. This can be done by moving all other terms to the opposite side. If the unknown is being multiplied by a coefficient, divide both sides of the equation by the coefficient to isolate it. If it's being added or subtracted, do the inverse operation.
3Step 3: Evaluate the Solution
Once the variable is isolated, you can evaluate the other side of the equation to find the solution. This is the final value of the unknown variable.
Other exercises in this chapter
Problem 93
Use properties of inequality to rewrite each inequality so that \(x\) is isolated on one side. \(y \leq m x+b\) and \(m
View solution Problem 93
Will help you prepare for the material covered in the next section. Multiply and simplify: \(10\left(\frac{x}{5}-\frac{39}{5}\right)\)
View solution Problem 94
Simplify: \(\left[3\left(12 \div 2^{2}-3\right)^{2}\right]^{2}\) (Section \(1.8,\) Example 8 )
View solution Problem 94
Use properties of inequality to rewrite each inequality so that \(x\) is isolated on one side. \(y>m x+b\) and \(m>0\)
View solution