1. How many solutions does each linear system have? Explain. a) ** ** 2. Solve each linear system in two-space. a) x+y=8 x-y=13 b) 3.5x-2.1y 14 1.5x-0.3y=8 c) [x, y]=[-12, -7]+s[8, -5] [x, y]=[2, 1]+[3, 2] d) [x, y]=[16, 1]+s[5, 1] [x, y]=[-7, 12]+t[7, 3] 3. Determine the number of solutions for each system without solving. a) 3x+12y=-27 4x+2y=34 b) 12x-21y=9 8x-14y=3 c) [x, y]=[1,6]+s[3, -2] [x, y] = [4, 4]+[-6, 4] d) [x, y] [17,7]+[8,3] 8x-3y=11 e) -6x+45y=33 10x-75y=-55 f) [x, y]=[11, 12]+s[2, 7] [x, y]=[2, 3]+[1, 4]