Solve the following pair of linear equations by the elimination method and the substitution method :
(i) x+y=5 and 2x−3y=4 (ii) 3x+4y=10 and 2x−2y=2(iii) 3x−5y−4=0 and 9x=2y+7(iv) x2+2y3=−1 and x−y3=3
Solve the following systems of inequations graphically:
(i) 2x+y≥8,x+2y≥8,x+y≤6
(ii) 12x+12y≤840,3x+6y≤300,8x+4y≤480 x≥0,y≥0
(iii) x+2y≤40,3x+y≥30,4x+3y≥60,x≥0,y≥0
(iv) 5x+y≥10,2x+2y≥12,x+4y≥12,x≥0,y≥0