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**The Graphical Method**

- Step 1: Formulate the LP (
**Linear programming**) problem. - Step 2: Construct a graph and plot the constraint lines.
- Step 3: Determine the valid side of each constraint line.
- Step 4: Identify the feasible
**solution**region. - Step 5: Plot the objective function on the graph.
- Step 6: Find the optimum point.

Also to know is, how do you solve a problem graphically?

To **solve** an equation means to find all the values that make the statement true. To **solve** an equation **graphically**, draw the graph for each side, member, of the equation and see where the curves cross, are equal. The x values of these points, are the solutions to the equation.

**Follow the steps to solve the problem.**

- Step 1: Multiply the entire first equation by 2.
- Step 2: Rewrite the system of equations, replacing the first equation with the new equation.
- Step 3: Add the equations.
- Step 4: Solve for x.
- Step 5: Find the y-value by substituting in 3 for x in either equation.

Correspondingly, how do you know you have the correct solution?

**To check if a given value is a solution to an equation:**

- Evaluate the left-hand side expression at the given value to get a number.
- Evaluate the right-hand side expression at the given value to get a number.
- See if the numbers match.

**How to Graph a Linear Inequality**

- Rearrange the equation so "y" is on the left and everything else on the right.
- Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).