# solutions for system of equations

Use the substitution method to find all solutions for the sytem of equations. Show work.

Question:

{2x +y = 7

{x + 2y = 2

Question:

{x^2 + y^2 = 25

{ y = 2x

Question:

{ x^2 + y = 9

{x - y + 3 = 0)

Question:

{ x^2 - y = 1

{2x^2 + 3y = 17

Use the elimination method to find all solutions of the system of equations. Show work.

Question:

{4x - 3y = 11

{8x + 4y = 12

Question:

{3x^2 + 4y=17

{2x^2 + 5y = 2

Question:

{2x^2 + 4y = 13

x^2 - y^2= 7/2

Question:

{x^2 - y^2 = 1

{2x^2-y^2 = x + 3

Find the determinant of the matrix, if it exists. Show any work.

Question:

[0 -1]

[2 0]

Question:

[-2 1]

[ 3 -2]

Find the determinant of the matrix. Determine whether the matrix has an inverse, but don't calculate the inverse. Show work.

Question:

[0 -1 0]

[2 6 4]

[1 0 3]

Question:

[1 2 5]

[-2 -3 2]

[3 5 3]

Find the first four terms and the 100th term of the sequence. Show work.

Question:

an= 2n+3

Question:

an = n2 +1

Question:

an=1n^2

Question:

an = (-1)^n+1 n

------

n+1

Question:

an=3

Find the Sum (these have the symbols that look like a pointy E/properties of sums. Show work.

Question:

4

E (symbol) k2

k=1

Question:

100

E (symbol) (-1)^j

j=1

Question:

12

E (symbol) 10

i=4

Question:

3

E (symbol) i2^i

i=1.

#### Solution Summary

The solution provides detailed explanation for many systems of equations.