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# 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.

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