SOLUTION: Solve this system of linear equations using matrices.
x + y = 3
2y = 10
3x + 2y - 4z = 12
----------- ----------- -----------
The answer is (-2
Algebra.Com
Question 633334: Solve this system of linear equations using matrices.
x + y = 3
2y = 10
3x + 2y - 4z = 12
------------------------------------
The answer is (-2, 5, 2); I want someone to walk me through this problem, because I'm just not able to solve it correctly using row operations. Here's my work:
------------------
1 1 0 3
0 2 0 10
3 2 -4 12
------------------
1 1 0 3
0 2/2 0 10/2
3 2 -4 12
------------------
1 1 0 3
0 1 0 5
-3(1)+3 -3(1)+2 -4 -3(3)+12
------------------
1 1 0 3
0 1 0 5
0 1(1)-1 -4 1(3)+3
------------------
1 1 0 3
0 1 0 5
0 0 -4/-4 6/-4
------------------
1 1 0 3
0 1 0 2
0 0 1 -6/4
------------------
I got z = -6/4, but it's supposed to equal 2... what am I doing wrong?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Actually the answer is -2, 5, -2 not -2, 5, 2
I don't know where you went wrong but after you found y=5
You could have gotten x=-2
1 1 0 3
0 1 0 5
1 0 0 -2
now we have
1 0 0-2
0 1 0 5
3 2 -4 12
3 0 0 -6
0 2 -4 18
0 2 0 10
0 0 -4 8
which leaves
0 0 1 -2
RELATED QUESTIONS
Solve the following system of linear equations using matrices :
2X + 3Y + 3Z = 5
X – (answered by Alan3354)
Use matrices to solve the system of equation.
3x-2y+4z=4
x+y+z=3... (answered by Fombitz)
Use matrices to solve the system of equation.
3x-2y+4z=4
x+y+z=3... (answered by tommyt3rd)
Solve the system of equations using matrices.
3x - 2y + z = -7
x + y - 2z = 12
3x + y... (answered by venugopalramana)
Please help me finish this problem
Solve the system of equations using matrices.... (answered by MathLover1)
Is it possible to get infinitely many solutions and an x, y, and z value for the... (answered by Alan3354,MathTherapy)
Can you help me solve the system of equations using matrices: x-2y+3z=7 2x+y+z=5... (answered by Jk22)
What is the solution of the system? Solve using matrices.
{-3x+2y=10... (answered by Fombitz)
-3x-y=-6
y-4z=11
x-2y+z=-7
solve the system of linear... (answered by josh's girl)