SOLVING SYSTEM OF EQUATIONS USING GAUSSIAN ELIMINATION WORKSHEET

Solve the following systems of linear equations by Gaussian elimination method.

Problem 1 :

2x - 2y + 3z = 2, x + 2y - z = 3 and 3x - y + 2z = 1

Solution

Problem 2 :

2x + 4y + 6z = 22, 3z + 8y + 5z = 27, -x + y + 2z = 2

Solution

Problem 3 :

If ax²+bx+c is divided by x + 3, x - 5 and x - 1, the remainders are 21, 61 and 9. Find a, b and c.(Use Gaussian elimination method)

Solution

Problem 4 :

An amount of 65000 is invested in three bonds at the rates of 6%, 8% and 9% per annum respectively. The total income is 4800. The income from the third bond is 600 more than that from the second bond. Determine the price of each bond.

Solution

Problem 5 :

A boy is walking along the path y = ax² + bx + c through the points (-6, 8), (-2, -12) and (3, 8). He wants to meet his friend at P (7, 60) . Will he meet his friend? (Use Gaussian elimination method.)

Solution