Question

What’s the pay step to solving a system of equations? A. Estimate the intersection point b. Graph the lines c. Make a table of solutions d. Check the answer

Answer 1

When solving a system of equations, here's a step-by-step guide you might follow:

1. **Identify the Equations**: Clearly write down the system of equations you need to solve.

2. **Choose a Method**: Decide which method you will use to solve the system. Common methods include graphing, substitution, or elimination.

3. **Solve the System**:
- If using **graphing**, plot each equation on a graph to find the intersection point.
- If using **substitution**, solve one of the equations for one variable and substitute that expression into the other equation.
- If using **elimination**, add or subtract the equations to eliminate one of the variables, then solve for the remaining variable.

4. **Check the Solution**: Substitute the solution back into the original equations to verify that it satisfies both equations.

5. **Interpret the Solution**: Clearly state the solution, whether it is a single point (for one solution), no solution, or infinitely many solutions.

So, of the options given:

a. **Estimate the intersection point** – This might be part of the graphing method but is not a standalone step.
b. **Graph the lines** – This could be part of the graphing method but does not apply to substitution or elimination.
c. **Make a table of solutions** – This might help in some contexts, but it's not a direct solving step.
d. **Check the answer** – This is an important step after solving the system.

The most appropriate immediate step among the options provided typically involved in solving provided systems is:

**b. Graph the lines** (assuming graphing is the chosen method to solve the system of equations).