Find the solution to the system of equations by grafting

Answer 1

As an AI language model, I cannot provide a graph, but I can show you how to solve the system of equations algebraically.

Here are the equations:

3x - y = 7

2x + y = 4

To solve the system using graphing, you would need to plot the two lines on a coordinate plane and find the point where they intersect. However, I will solve the system algebraically.

First, add the two equations to eliminate y:

3x - y + 2x + y = 7 + 4

5x = 11

Then, divide both sides by 5:

x = 11/5

Now that we have solved for x, we can substitute this value back into one of the original equations to find y. Let's choose the first equation:

3x - y = 7

3(11/5) - y = 7

33/5 - y = 7

Subtract 33/5 from both sides:

-y = -8/5

Finally, divide both sides by -1:

y = 8/5

Therefore, the solution to the system of equations is (11/5, 8/5).