Class 12-commerce RD SHARMA Solutions Maths Chapter 8: Solution of Simultaneous Linear Equations
Solution of Simultaneous Linear Equations Exercise Ex. 8.1
Solution 1(i)
Solution 1(ii)
Solution 1(iii)
Solution 1(iv)
Solution 1(v)
Solution 1(vi)
Solution 2(i)
Solution 2(ii)
Solution 2(iii)
Solution 2(iv)
Solution 2(v)
Solution 2(vi)
Solution 2(vii)
Solution 2(viii)
Solution 2(ix)
Solution 2(x)
Solution 2(xi)
Solution 2(xii)
Solution 2(xiii)
Solution 2(xiv)
Solution 3(i)
Solution 3(ii)
Solution 3(iii)
Solution 3(iv)
Solution 3(v)
Solution 3(vi)
Solution 4(i)
Solution 4(ii)
Solution 4(iii)
Solution 4(iv)
Solution 4(v)
Solution 4(vi)
Solution 5
Solution 6
Solution 7
Solution 8(i)
Solution 8(ii)
Solution 8(iii)
Solution 8(iv)
Solution 8(v)
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
The school can include an award for creativity and extra-curricular activities.
Solution 15
Solution 16
Keeping calm in a tense situation is more rewarding than carefulness, and carefulness is more rewarding than adaptability.
Solution 17
Solution 18
Solution 19
Solution 20
Let the amount deposited be x, y and z respectively.
As per the data in the question, we get
Solution 8(vi)
Therefore, A is invertible.
Let Cij be the co-factors of the elements aij.
Now, the given system of equations is expressible as
Here we have |AT| = |A| = -16 ≠ 0
Therefore, the given system of equations is consistent with a unique solution given by
Solution 8(vii)
Let 
Now, 
Now, the given system of equations is expressible as
Here we have |BT| = |B| = -1 ≠ 0
Therefore, the given system of equations is consistent with a unique solution given by
Hence, x = 36, y = 5 and z = -15.
Solution 21
From the given information, we can form a matrix as follows
Applying R2→ R2 - 4R1, R3→ R3 - 6R1
Applying R3→ R3 + (-4R1)
From the above matrix form, we get
A + B + C = 21 … (i)
-B - 2C = -24 … (ii)
5C = 40
⇒ C = 8 … (iii)
Putting the value of C in (ii), we get
B = 8
Substituting B and C in (i), we get
C = 5
Hence, cost of variety 'A' pen is Rs. 8, cost of variety B pen is Rs. 8 and cost of variety 'C' pen is Rs. 5.
Solution of Simultaneous Linear Equations Exercise Ex. 8.2
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution of Simultaneous Linear Equations Exercise MCQ
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Correct optio : (a)
x + 2y + 3z = 1
2x + y + 3z = 2
5x + 5y + 9z = 4
The determinant of the coefficient matrix 
is
= -6-2 (18 - 15) + 3(10 - 5)
= -6 - 6 + 15
= 3 ≠ 0
The right hand side is also non zero.
The system has a unique solution.
Solution 9
Solution 10
Solution of Simultaneous Linear Equations Exercise Ex. 8VSAQ
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
