the pair of linear equations `(3x)/2+ (5y)/3 =7` and `9x + 10y =14` is (a) consistent (b) inconsistent (c) consistent with one solution (d) consistent with many solutions

For what value(s) of k, the pair of linear equations -2x + 5y = 0 and kx + 3y = 0 has a non-zero solutions?

The pair of linear equations 3x+2y=5;2x-3y=7 have (a)One solution (b) Two solutions (c)Many solutions (d) No solution

The system of equations 3x+y-z=0, 5x+2y-3z=0, 15x+6y-9z=5 has (A) no solution (B) a unique solution (C) two distinct solutions (D) infinitely many solutions

Which of the following pairs of linear equations are consistent / inconsistent? If consistent, obtain the solution graphically : (i)\ \ \ \ \ \ \ x+y=5,\ 2x+2y=10(i i)\ \ \ \ \ \ \ x y=8,\ 3x 3y=16(i i i)\ \ \ \ \ \ 2x+y 6=0,\ \ 4x 2y-4=0

Determine, graphically whether the system of equations x-2y=2,4x-2y=5 is consistent or in-consistent.

If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c y+c=0 is consistent, then prove that a ,b , c are in H.P.

If x y=2(x+y),xlt=y and x ,y in N , then the number of solutions of the equation are a. two b. three c. no solution d. infinitely many solutions

Check graphically whether the pair of linear equation 4x-y-8=0 and 2x=3y-6=0 is consistent. Also, find the vertices of the triangle formed by these lines with the x-axis.

x=5 and y=2 is a solution of the linear equation

Check whether the pair of equations x+3y=6 . . . (1)and 2x+ 3y=12 . . . (2)is consistent. If so, solve them graphically.