Question

The x and y-coordinate of point of intersection of the lines 2x-y=5 and 3x+2y=11 respectively are

1,3
4,3
5,2
3,1
​

Answer 1

Answer: 3,1

Step-by-step explanation: 2x-y = 5 ⇒ 4x-2y = 10

Adding both equations-

(4x-2y)+(3x+2y) = 10+11

⇒ 7x = 21 ⇒ x = 3

From the first equation-

2x-y = 5 ⇒ y = 2x-5

y = 2×3-5 = 1

Hence the point(x,y) = 3,1