Solve the system of equations below by graphing them with a pencil and paper. enter your answer as an ordered pair.

y = 2x - 3 y = -2x + 5

Solution is (2,1)

Step-by-step explanation:

In order to graph both lines ,we need to find the X and Y intercepts for both equations

Lets take equation  y =2x -3

               To find y intercept ,we plug x =0 ,we get y =2(0)-3 = 0-3 =-3

                         Y intercept is (0,-3) Which is point  'C' in the graph

              To find X intercept ,we plug y =0 ,we get 0 = 2x-3 or x = 3/2 or 1.5

                        X intercept is (1.5,0) Which is point D in the graph.

Lets take equation y =-2x+5

                   To find y intercept ,we plug x =0 ,we get y = -2(0)+5 = 0+5 = 5

                       Y intercept is (0,5) which is point A in the graph .

              To find X intercept ,we plug y =0 ,we get 0 =-2x+5 or x = 5/2 or 2.5

                     X intercept is (2.5,0) which is point B on the graph

         After getting intercept of both lines ,we plot both lines

In the graph Blue line shows  y=2x-3 and Red line shows y =-2x+5

both lines intersect at point E which is called the solution of both equation

which is given to be (2,1)