Question

Which graph represents the solution to the given system? y=-2x + 5 and y= 3x - 2

Answer 1

To find the graph that represents y=-2x + 5  and  y= 3x - 2, we have we should find the coordinates of their intersection. To that end:


-2x+5 = 3x-2 ==> -2x -3x = -2 -7 ==> -5x=-7 ==>x = 7/5 =1.4

Now let's calculate y.in any of the 2 equations==> y=3x-2==>y=3(7/5)-2

and y = 21/5 -2 ==> y =11/5 ==> y = 2.2

so the coordinate of the point of intersection is (1.4, 2.2) which correspond to the 1st sketch