Solving System of Linear Equations Using Inverse

Q. Which among the following pairs of linear equations has no solution?

1. 
2. 
3. 
4. 

Q.

Which among the following pairs of linear equations has unique solution?

1. 
2. 
3. 
4. 

Q.

Find the values of $x$ and $y$ for the system of equations, $x+y=2$ and $3x-y=6$ using Cramer's Rule.

1. $0,2$

2. $2,0$

3. $2,2$

4. $0,0$

Q.

Which among the following pairs of linear equations has unique solution?

1. 
2. 
3. 
4. 

Q.

Consider the system of linear equations.

x + 2y + z =1

2x + 3y + z = 2

2x + 2y + 4z =1. The sum of values in solution of (x, y, z) will be __

Q. For what value of ‘k’, do the equations 5x –3y + 8 = 0 and 15x + ky = –24 represent coincident lines?

Q. On dividing $x^4-x^3-3x^2+3x+2$ by polynomial $g\left(x\right)$, the quotient and the remainder are $x^2-x-2$ and $2x$ respectively. Find $g\left(x\right)=x^2-m$.Find $m$

Q. Write the condition for which the pair of liner equations a1 x + b1 y + c1 = 0, a2 x + b2 y + c2 = 0 said to be inconsistent.

Q. Find the values of $a$ for which the following system of equations has exactly one solution $2x+ay=11,ax+8y=21$

Q. 17.the set of value of c for which the equation {eqn is in the image} has exactly two distinct real solution is (a, b) then find the value of (b-a)

Q.

Find the value of k for which the lines (k+1)x +3ky+15=0 and 5x+ky+5=0 are coincident?

Q. number of integral solutions for the equation 5 x + 9 Y equal to 225 for x, y greater than zero is

Q. What kind of system is shown in the graph?

1. consistent
2. non-linear
3. inconsistent
4. dependent