6. Solve this linear system by graphing. Show ALL your work. (4 marks)
\[
2 x-5 y=10 \quad 5 y+6 x=30
\]
What is the solution?
Verify your solution by checking. Show your work.

Step 1 ：Rewrite both equations in slope-intercept form (y = mx + b):

Step 2 ：\(y = \frac{2}{5}x - 2\)

Step 3 ：\(y = 6 - \frac{6}{5}x\)

Step 4 ：Find the point of intersection, which is the solution to the system:

Step 5 ：\(x = 5, y = 0\)

Step 6 ：Verify the solution by plugging the values of x and y back into the original equations:

Step 7 ：For equation 1: \(2x - 5y = 10\)

Step 8 ：\(2(5) - 5(0) = 10\)

Step 9 ：\(10 = 10\) (True)

Step 10 ：For equation 2: \(5y + 6x = 30\)

Step 11 ：\(5(0) + 6(5) = 30\)

Step 12 ：\(30 = 30\) (True)

Step 13 ：\(\boxed{(x, y) = (5, 0)}\)