Part 1: Explain, in complete sentences, how you would use the graphing method to solve the following system of equations. (3 points) Part 2: Provide the solution to the system. (2 points) Part 3: Explain what the solution represents on the graph. (1 point)

3x + 6y = 18
2x + 5y = 20

Question

Part 1: Explain, in complete sentences, how you would use the graphing method to solve the following system of equations. (3 points) Part 2: Provide the solution to the system. (2 points) Part 3: Explain what the solution represents on the graph. (1 point)

3x + 6y = 18
2x + 5y = 20

anonymous · Answer

When you graph these two lines you will see where they intersect. The point of intersection is the solution.

To find the solution you can use the elimination method or you can graph them.. I find the Elimination method easy so i will use that. The whole point of the elimination method is to eliminate one of the variables. I will choose to get rid of the x's. So to do that you multiply the first equation by 2. And then you multiply the second equation by -3. This is what you get when you do that. |dw:1317000620432:dw| Notice the x's have the same coeffecient but different signs so they can be canceled. Add the y's together and the numbers on the right of the equal sign and you get |dw:1317000783167:dw| Solve for y and you get y = 8.. Not plug y = 8 into one of the ORIGINAL equations and simplify. |dw:1317000876243:dw| So the solution is (-10, 8)