Answer:To solve a two-step multi-step equation, you need to follow a specific set of steps. Let's go through them:
1. Start by isolating the variable term. This means getting rid of any numbers or terms that are on the same side of the equation as the variable. You can do this by performing the opposite operation.
2. If there is an addition or subtraction operation involving the variable, perform the opposite operation to eliminate it. For example, if there is a +5 next to the variable, subtract 5 from both sides of the equation.
3. If there is a multiplication or division operation involving the variable, perform the opposite operation to eliminate it. For example, if there is a ×3 next to the variable, divide both sides of the equation by 3.
4. Continue simplifying the equation by performing the necessary operations until the variable is isolated on one side of the equation.
5. Finally, solve for the variable by performing any remaining operations. For example, if the variable is multiplied by a number, divide both sides of the equation by that number.
Here's an example to illustrate these steps:
Let's solve the equation: 3x + 7 = 16
1. Start by isolating the variable term. In this case, the variable term is 3x, so we want to get rid of the +7. To do this, we subtract 7 from both sides of the equation:
3x + 7 - 7 = 16 - 7
3x = 9
2. Now, the variable is still being multiplied by 3. To eliminate this, we divide both sides of the equation by 3:
3x/3 = 9/3
x = 3
So the solution to the equation 3x + 7 = 16 is x = 3.
Remember to always check your solution by substituting the value you found back into the original equation.
Explanation: