WW5Systems: Problem 1 Previous Problem Problem List Next Problem (1 point) Solve the following system using elimination by addition: -10x + 7y = 4 20x + 6y = 32 The solution is: D = y ={1 point) Use the substitution method to solve the system: '31: 10y = 68 5m + 33; = 25 The solution is: m: y=i WW5Systems: Problem 3 Previous Problem Problem List Next Problem (1 point) Consider the system 4x + 16y = -28, -5x - 20y = 36. (a) How many solutions does the system have? Write 0 if there are no solutions, 1 if there is a unique solution, or "Infinity" if there are infinitely many solutions. (b) What are the solution to the system? If there are no solutions, write "No Solution" or "None" for each answer. If there are infinitely many solutions let y = t and solve for al in terms of t. y (Note: Words such as "Infinity" and "None" should be entered without quotes.)WW5Systems: Problem 4 Previous Problem Problem List Next Problem (1 point) Find the point of intersection of the lines in the figure, given that line Al, in red, has equation y = a + 2 and line B, in blue, has equation 2x + 3y = 10. help (fractions) help (fractions)WWSSystems: Problem 5 [1 paint} Solve the system using any method ;r:+y+z=4 4m3y323 I+y+z= Your answer is :1: 2| y =| y =| WW5Systems: Problem 6 Previous Problem Problem List Next Problem (1 point) Solve the system using any method -ctytz=-2, 4x - 3y - 2 =1. xtytz=-8 Your answer is T = y = yWWSSystems: Problem 7 (1 point) Determine which of the points (4,6, 2}' (6, 5, }|, and [6, 4, 5)| satisfy the linear system 4;t:1 + 23:2 5.11:3 = 44 37 3s:1 + $2 43:3 Answer: WWSSystems: Problem 8 [1 point) Find the set of solutions for the linear system Use s1, s2, etc. for the free variables it necessary. (931132133) 20 I 2331 532 532 + 4:113 'l' 733 10 WWSSystems: Problem 9 (1 point) Find the set of solutions for the linear system Use s1, s2, etc. for the free variables it necessary. {31:32:33,134} =(l . 15 11 WW5Systems: Problem 10 Previous Problem Problem List Next Problem (1 point) Solve T - y - W = y 2z -+ W - Z W = + 2y - 3z + 5w , U= , WEWW5Systems: Problem 11 Previous Problem Problem List Next Problem (1 point) For what value(s) of h and ) does the linear system have infinitely many solutions? 5x1 + 3x2 = 3 + kx 2 3 h select v and kl select vWW5Systems: Problem 12 Previous Problem Problem List Next Problem (1 point) Find all solutions to the system -C1 - 4x 2 O + 4x2 = by eliminating one of the variables. (21, 22) = no solution. Help: If there is a solution (a, b), enter your answer as a point (a,b). If there is a free variable in th solution, type no solution.WWSSystems: Problem 13 Previous Problem Problem List Next Problem (1 point) Solve the system 2531 $2 2$2 +2333 2:I:3 -2$3 +2154 4154 12E4 1D$4 WW5Systems: Problem 14 Previous Problem Problem List Next Problem (1 point) The following system has an infinite number of solutions. Write the solution in terms of y and z. = 2w + 3y Z H W T y + 2z 3 3w 2y 1z = 4 3x Ty 4z = 3w - UE