1st let/s find the equation of the graph shown. It has te form of y₁ =mx since it oases by the origin. Moreover we notice that the slope m = rise/run = 1/2. hence the equation IS y₁ = (1/2)x.
To find the solution of y₁ = 1/2 x and y= -x + 6, let's y=y₁
-x + 6 = 1/2 x ↔ -2x +12 = x ↔ -3x= -12 and x = 4. For x = 4 , y =2.
And the solution is the intersection point between y and y₁ which is nothing but the solution or te coordinate of this point that is (4,2)
