1.) Withoutgraphing, answer the questions for the following linear system.

7x + 6y = 5

63x +54y = 7

(a) Is the systeminconsistent, or are the equationsdependent, orneither?

(b) Is the graph a pair of intersectinglines, a pair of parallellines, or oneline?

(c) Does the system have onesolution, nosolution, or an infinite number ofsolutions?

2.) Solve the following system by the elimination method. Check the solution.

6x - 6 = -8y

5x + 4y = -11

3.) Suppose that a cyclist began a 390 mi ride across a state at the western edge of thestate, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 7.5 hr and the car traveled 31.8 mph faster than thebicycle, find the average rate of each.

4.) Use the elimination method to solve the following system of equations.

2x-4y = 0

4x- 3y = 0

5.)Solve the following system by the elimination method.

4x-8y = 8

16x-32y = 40

6.) Building A is 170 feet shorter than Building B. The total height of the two buildings is 1490 feet. Find the height of each building.

7.) Solve by the elimination method.

6x + 2y = 0

-18x - 6y = 0