1. 10 points Solve the following system of linear equations using augmented matrix methods: 3 x+ 4 y=2 5 x+3 y =4 2. 10 points Solve the following system of linear equations using augmented matrix methods: 3 x+ 4 y=5 2 x y=7 3. 10 points Graph the inequality 4 x 5 y >10 & show the solution set 4. Graph the inequality 3 x +2 y 30 & show the solution set 1 5. 20 points It takes 4 days for an auto body paint shop to paint and dry a compact sedan, and 5 days to paint and dry a sport-utility vehicle (SUV). There are 28 days for the paint shop to do work before it closes for system upgrade. What combination of sedans and SUVs can be inducted for painting and drying with the guarantee of being finished before the shop closes? a. Express the answer as a linear inequality b. Draw its graph, showing the solution set. 6. 15 points Solve the system graphically (use grid below if desired), show the solution region, and find the coordinates of each corner point: 4 x +3 y 24 3 x+4 y 8 x0 y0 7. 15 points Solve the system graphically (use grid below if desired), show the solution region, and find the coordinates of each corner point: 2 x +3 y 12 x +3 y 3 0 y 5 2 8. 10 points An augmented matrix Q is defined as follows: [ | ] Q= 3 4 11 2 5 3 Identify the row operation (e.g., 3 R1 + R2 R 2 ) performed on Q that results in the following: a. [ 4 10 6 3 4 11 | ] b. [ | ] 3 4 11 0 7/3 13 /3 3