# Using matrices, solve the following system of equations:4x + 3y + 3z = 60, x + 2y + 3z = 45 and 6x + 2y + 3z =70 (CBSE 2011)

Given, equations are –

4x + 3y + 3z = 60 …(1)

x + 2y + 3z = 45 …(2)

and 6x + 2y + 3z =70 …(3)

The above equations can be represented in matrix form as given below –  …(4)

Let, As A-1 = |A| = |A| = 4(6-6) - 3(3-18) + 3(2-12) = 45 - 30 = 15

As |A| = 15 ≠ 0, so solution is possible and unique.

Adj(A) can be determined by finding the co-factor matrix of A and taking its transpose.

Adj(A) = A-1 = From equation 4 we have - By matrix multiplication we get –   x = 5 ; y = 0 and z = 40/3

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Triangular Matrices & operations on matrices58 mins  Types of Matrices & Properties51 mins  Determining a determinant63 mins  Determinants of Matrices of different order59 mins  Lecture on Product of Determinants58 mins  Interactive Quiz on Properties of Determinants43 mins  Know About finding the Adjoint & Inverse Of Matrix46 mins  Test Yourself, Properties of Determinants30 mins  Interactive Quiz on Matrices & Determinants48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 