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Solving Systems of Linear Equations

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See the attached file.
1. Solve to the homogenous system of linear equations.
{2x - 2y + z = 0 both equations are in the same {
{-2x + y + z = 0

I got the following: x = ¾c, y = -c, z = 1/2c

2. Find the real solutions to the system of equations using the addition method.
x^2 + 8y^2 = 5
x^2 - 4y^2 = 2

Is there a real solution?
3. Solve {x^2 + y^2 =64 both equations are in the same {
{y - x = 2

4. Solve the system of linear equations using the Gaussian elimination.
{2x + y + z = 4
{-x + 2y + z = 3
{7x + 6y + 5z = 19 all equations are inside the same {

5. Write the first five terms of the sequence. Assume that n begins with 1.
a = 10(1/5)^n
n The (n) is sub to the a. Not sure how to write it.

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