List of top Mathematics Questions on System of Linear Equations asked in BITSAT

Solve the system of equations: \(x + y = 3\), \(x - y = 1\).
If a system of equations -ax+y+z=0, x-by+z=0, x+y-cz=0 (a,b,c\ne1) has a non-zero solution, then (1)/(1+a)+(1)/(1+b)+(1)/(1+c) is
Let alpha₁,alpha₂ and beta₁,beta₂ be the roots of ax²+bx+c=0 and px²+qx+r=0 respectively. If the system alpha₁ y+alpha₂ z=0, beta₁ y+beta₂ z=0 has a non-trivial solution, then
If a system of equations
\[ a x + y + z = 0, \quad x - b y + z = 0, \quad x + y - c z = 0 \quad (a, b, c \ne -1) \]
has a non-zero solution, then
\[ \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c} = \]
Let alpha₁,alpha₂ and beta₁,beta₂ be the roots of ax²+bx+c=0 and px²+qx+r=0 respectively. If the system alpha₁ x+alpha₂ y=0, beta₁ y+beta₂ z=0 has a non-trivial solution, then
The equations \( 2x + 3y + 4 = 0, 3x + 4y + 6 = 0 \) and \( 4x + 5y + 8 = 0 \) are: