Question

Solve the systems of equations graphically: 2x + 3y = 10 3.x - y=4

JEE/Engineering Exams

Maths

Solution

4.0 (1 ratings)

Sol. 3x-y=4 -y=4 - 3x 2x+3y=10 => 3y = 10-22 10-2x y=- > y=3x-4 10-2(5) = 0 When x= 5, y = When r=0, y=3(0-4=-4 3 10-2(8) --2 When x=8, y=- When r=1, y=3 (1)-4=-1 10-2(11) -4 When x=11, y = — Whenx=3, y=3 (3) -4 = 5 3 Table for 3x-y=4 is Table for 2x+3y=10 is x 5 8 11 Ty0- 24 3x-y=4 moty (3,5) (2,2) 1+ (5,0) - T 2 3 4 5 7 -17 |(1,-1) 8 9 10 11 12 (8-2) -34 44 (0,4) 2x+3y=10 (114) Y' From the graph, the solution is the point of intersection of the lines, i.e. r=-