Question

What are the coordinates of the point of intersection of the lines x+3y=7 and 2x+y=-1 ?

Answer 1

The point of intersection of lines,

5x+7y=3...(1) and

2x−3y=7...(2)

Solving (1) and (2) , we get,

(x,y)=(2,−1)

Therefore the equation of line passing through (0,0) and (2,−1) is

(y−0)=

2−0

−1−0

(x−0)

2y=−x

∴x+2y=0 is the required equation

hope it helps you ✌✅✅✅

Answer 2

Step-by-step explanation:

Given 2x−3y+5=0.____(1) & 7x+4y=3.

_____(2)

Multiply (1) with 4 and (2) with 3

we get,

(1)×4⇒8x−12y+20=0 . (3)

(2)×3⇒21x+12y−9=0 .____ (4)

Adding (3) and (4), we get

$x = \frac{ - 11}{29}$

eq we get

$y = \frac{41}{29}$