[" 3.5.Solue the sugstem of inequatity grophically "],[3x+2y<=150],[x+4y<=80],[x<=15,y hArr>=0]

Solve the following system of equations: x+y=5x y ,\ \ \ \ 3x+2y=13 x y ,\ \ \ x!=0,\ \ \ y!=0

Solve the pair of equations. 7x-5y-11=0, 3x+2y-13=0

Solve the following system of equations by matrix method : 5x+7y+2=0 4x+6y+3=0 5x+2y=3 3x+2y=5 3x+4y-5=0 x-y+3=0 3x+y=19 3x-y=23 3x+7y=4 x+2y=-1 3x+y=7 5x+3y=12

Find the real values of r for which the following system of linear equations has a non-trivial solu- tions. Also find the non-trivial solutions 2rx – 2y + 3z = 0 x + r y + 2z = 0 2x + r z = 0

The equation of the straight line passing through the point of intersection of 5x -6y -1 , 3x+2y+5=0 and perpendicular to the line 3x -5y+11=0 is

3x-4y=-7,5x-2y=0

Show that straight lines joining the origin to the points of intersection of 3x-2y+2=0 and 3x^2+5x-2y^2+4x+5y=0 are at right angles .

Check whether the following are solu tions of the equation 5x - 2y = 30 : (0, 15).

Check whether the following are solu tions of the equation 5x - 2y = 30 : (10, 10).