Solution Found!
Solve the following systems of linear equations by the method introduced in this
Chapter 1, Problem 2(choose chapter or problem)
Solve the following systems of linear equations by the method introduced in this section. (a) (b) (c) (d) (e) (f) 2si - 1x2 - 3x3 = - 2 3xi 3x2 2x3 + 5x4 = 7 X\ X2 2x3 x4 = 3 3xi - lx2 + 4x3 = 10 x\ - 2x2 + X3 = 3 2x\ X2 2x3 = 6 x\ + 2x2 X3 + a*4 = 5 xi 4- 4x2 - 3x3 3x4 6 2xi 4- 3x2 X3 4- 4x4 = 8 xi 4- 2x2 + 2x3 = 2 xi + 8x3 + 5.T4 = - 6 xi 4- x2 4- 5.T3 + 5x4 = 3 Xi + 2x2 - 4x3 - X4 + x5 = 7 -Xi 4- l()x3 - 3x4 - 4x5 = -16 2xi + 5x2 - 5x3 ~ 4x4 - x5 = 2 4xi + llx 2 - 7x3 - IOX4 - 2x5 = 7 Xi 4- 2x2 + 6x3 = - 1 2xi + x2 + x3 = 8 3xi + x2 - X3 = 15 xi 4- 3x2 + IOX3 = - 5
Questions & Answers
QUESTION:
Solve the following systems of linear equations by the method introduced in this section. (a) (b) (c) (d) (e) (f) 2si - 1x2 - 3x3 = - 2 3xi 3x2 2x3 + 5x4 = 7 X\ X2 2x3 x4 = 3 3xi - lx2 + 4x3 = 10 x\ - 2x2 + X3 = 3 2x\ X2 2x3 = 6 x\ + 2x2 X3 + a*4 = 5 xi 4- 4x2 - 3x3 3x4 6 2xi 4- 3x2 X3 4- 4x4 = 8 xi 4- 2x2 + 2x3 = 2 xi + 8x3 + 5.T4 = - 6 xi 4- x2 4- 5.T3 + 5x4 = 3 Xi + 2x2 - 4x3 - X4 + x5 = 7 -Xi 4- l()x3 - 3x4 - 4x5 = -16 2xi + 5x2 - 5x3 ~ 4x4 - x5 = 2 4xi + llx 2 - 7x3 - IOX4 - 2x5 = 7 Xi 4- 2x2 + 6x3 = - 1 2xi + x2 + x3 = 8 3xi + x2 - X3 = 15 xi 4- 3x2 + IOX3 = - 5
ANSWER:Step 1 of 6
Given system of linear equations is
The given system is equivalent to
Now, we add -3 times the first equation to the second equation and -2 times the first equation to the third equation to eliminate 
Now, we add -4 times the third equation to the second equation and 2 times the third equation to the first equation to eliminate 
It implies
Hence, the solution of the given system is
