List of top Mathematics Questions on Pair of Linear Equations in Two Variables asked in Bihar Board X

Draw the graphs of the pair of linear equations \(x+3y-6=0\) and \(2x-3y-12=0\) and solve them.
How many solutions will \(x + 2y + 3 = 0\), \(3x + 6y + 9 = 0\) have?
The pair of linear equations \(5x - 4y + 8 = 0\) and \(7x + 6y - 9 = 0\) is
If the graphs of two linear equations are parallel then the number of solutions will be
The system of linear equations \( 2x - 3y = 5 \) and \( 4x - 6y = 7 \) has:
If straight lines \( 4x + py = 16 \) and \( 2x + 9y = 15 \) are parallel, then what is the value of \( p \)?
If \( 3x + 4y = 10 \) and \( 2x - 2y = 2 \), then:
The pair of linear equations \( \frac{3}{2}x + \frac{5}{3}y = 7 \) and \( 9x - 10y = 14 \) is:
The graphs of the equations \( 2x + 3y + 15 = 0 \) and \( 3x - 2y - 12 = 0 \) are which type of straight lines?
The pair of linear equations \( 2x - 3y = 8 \) and \( 4x - 6y = 9 \) are
The graphs of the equations \( 2x + 3y = 4 \) and \( 4x + 6y = 12 \) are which type of straight lines?
How many solutions does the system of linear equations \( 2x - 3y + 1 = 0 \) and \( 3x + y + 2 = 0 \) have?
For what value of \( k \) has the system of linear equations \( x + 2y = 3 \) and \( 5x + ky = 15 \) infinite solutions?
If \( 2a + 3b = 8 \) and \( 3a - 4b = -5 \), then
If \( f(x) = x^4 - 2x^3 - x + 2 \) is divided by \( g(x) = x^2 - 3x + 2 \), the degree of the quotient is
If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( x^2 - 3(x+1) - 5 \), then the value of \( (\alpha + 1)(\beta + 1) \) is
On adding 1 to the numerator of a fraction it becomes \( \frac{1}{2} \) and on adding 1 to the denominator it becomes \( \frac{1}{3} \). Write the equation for this statement.
Solve the pair of equations \( 8x + 5y = 9 \) and \( 3x + 2y = 4 \) by substitution method.
The graphs of the equations \( 2x + 3y + 15 = 0 \) and \( 3x - 2y - 12 = 0 \) are:
The system of equations \( 2x - 3y = 5 \) and \( 4x - 6y = 7 \) has:
If the lines \( 4x + py = 16 \) and \( 2x + 9y = 15 \) are parallel, then the value of \( p \) is:
If \( 3x + 4y = 10 \) and \( 2x - 2y = 2 \), then:
The pair of linear equations \( \frac{3}{2}x + \frac{5}{3}y = 7 \) and \( 9x - 10y = 14 \) is:
Draw the graph of the pair of linear equations \( 3x - 5y + 1 = 0 \) and \( 2x - y + 3 = 0 \) and solve them.
The sum of the digits of a two-digit number is 9. If 9 is added to the number, the digits of the number are reversed. Write the equation for these statements.