Question

Solve using the elimination method. Show all work.

3x – 2y = 1

4y = 6x – 2

Solve using the elimination method. Show all work.

x – 3y = -17

-x + 8y = 52

Answer #1

**Solution:**

By _{
}

By

Since rank_{}
= rank_{}
=
, the number of unknown

The system has infinitely many solution

Put

_{} is
the solution to the system

**........................................................................................................................................................................................**

By

By

Since rank_{}
= rank_{}
=
= the number of unknown

The system has a unique solution

and

is the solution of the system

Use
Gaussian Elimination to solve and show all steps:
1. (x+4y=6)
(1/2x+1/3y=1/2)
2. (x-2y+3z=7)
(-3x+y+2z=-5)
(2x+2y+z=3)

PLEASE WORK THESE OUT!!
A) Solve the system of linear equations using the Gauss-Jordan
elimination method.
2x
+
10y
=
−1
−6x
+
8y
=
22
x,y=_________
B) If n(B) = 14, n(A ∪
B) = 30, and n(A ∩ B) = 6, find
n(A).
_________
C) Solve the following system of equations by graphing. (If
there is no solution, enter NO SOLUTION. If there are infinitely
many solutions, enter INFINITELY MANY.)
3x
+
4y
=
24
6x
+
8y...

3x+2y=2,6x+4y=1, 5y+z=-1 solve system of eq using gauss jordan or
gauss elimination

Use Gauss-Jordan Elimination to solve the following system of
equations.
2x
−
2y
= 1
6x
−
8y
= −2

Solve the sytem using elimination. Do not use augmentive
matrix.
(a) 3x - 2y + z = 2
(b) 5x + y - 2z = 1
(c) 4x - 3y + 3z = 7

Maximize p = 2x + 3y subject to 3x + 8y ≤ 30 6x + 4y ≤ 42 x ≥ 0,
y ≥ 0.

Solve the system of linear equations using the Gauss-Jordan
elimination method.
2x
+
2y
+
z
=
7
x
+
z
=
2
4y
−
3z
=
21

Solve for the general solution
x^4y''''+4x^3y'''+3x^2y''-xy'+y=0

Solve the following for Z5:
x+2y=1
3x+4y=1

1) Solve the system by elimination.
{8x−3y=−49
{4x-4y=-32
a) One solution:
b) No solution
c) Infinite number of solutions
2) Solve the system by elimination.
{5x+2y=−5
{3x-5y=28
a) One solution:
b) No solution
c) Infinite number of solutions

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