Multi-Step Equation
A multi-step equation is an equation that requires more than one step to solve
A multi-step equation is an equation that requires more than one step to solve. These types of equations often involve combining like terms, applying the distributive property, or solving for variables on both sides of the equation.
To illustrate solving a multi-step equation, let’s work through an example:
Example: Solve the equation 3x – 5 = 4 + 2x
Step 1: First, we want to eliminate any parentheses or apply the distributive property if necessary. In this equation, there are no parentheses, so we can move on to the next step.
Step 2: Next, we want to simplify the equation by combining like terms. We have terms with x on both sides of the equation, so we can combine them by subtracting 2x from both sides:
3x – 2x – 5 = 4
Simplifying further, we have:
x – 5 = 4
Step 3: Now, we isolate the variable x by adding 5 to both sides of the equation:
x – 5 + 5 = 4 + 5
This simplifies to:
x = 9
So, the solution to the equation 3x – 5 = 4 + 2x is x = 9.
It’s important to always check our solution to ensure it is correct. We can substitute the value of x back into the original equation to verify:
3(9) – 5 = 4 + 2(9)
27 – 5 = 4 + 18
22 = 22
Since both sides of the equation are equal, we can conclude that x = 9 is the correct solution.
More Answers:
Understanding the Concept of Reversing Inequality Signs When Multiplying or Dividing with Negative Numbers in MathThe Slope Formula: Calculating the Rate of Change and Steepness of a Line
Mastering Equivalent Equations: Strategies to Transform and Simplify Mathematical Expressions