Question

Find the intersection point between the lines of equations:x+y-2=0 and 3x-y+4=0 ​

Answer 1

Answer:

(-0.5,2.5)

Step-by-step 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 ,

$\implies 4x = -2 \\\\\implies x =\dfrac{-2}{4}\\\\\implies x = -0.5$

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 ,

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