Question

Find the intersection point between the lines of equations:

x+y-2=0 and 3x-y+4=0 ​

Answer 1

(-0.5,2.5)

Explanation:

The given equations are ,

`\implies x + y - 2 = 0`

`\implies 3x - y +4 = 0`

The point of intersection will be the solution of the given system of equations. Adding both , y will get cancelled . So that ,

`\implies 4x +2 = 0`

Now solve for x , we have ,

`\implies 4x = -2 \\\\\implies x =(-2)/(4)\\\\\implies x = -0.5`

Now put this value in any equation and solve out for y , we have ,

`\implies -0.5 + y - 2 = 0 \\\\\implies y = 2.5`

Therefore , the point of intersection will be ,

`\implies\underline{\underline{ Point = (-0.5,2.5 ) }}`