Question

Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.

Answer 1

(8,-1)

Explanation:

The point of intersection can be found out by solving the system of equations.

1. x + 3y = 5
2. 3x - 2y = 26

Multiply (1) by 3 :-

→ 3 ( x + 3y ) = 5 × 3

→ 3x + 9y = 15

Subtracting 3(1) and 2 :-

→ 3x + 9y - 3x +2y = 15 - 26

→ 11y = -11

→ y = (-1)

Put it in 1 :-

→ x -3 = 5

→ x = 3 + 5

→ x = 8

Hence the point of intersection is (8,-1)