The coordinates of every point on the red line satisfy the red equation so the red line is the graph of: x + y = 6[br]The coordinates of every point on the blue line satisfy the blue equation so the blue line is the graph of: 5x - 2y = 2

What about (2, 4), the point of intersection of the red and blue lines?[br][br]These coordinates, x = 2, y = 4 satisfy both the equations![br][br]Therefore x = 2, y = 4 represents the solution to the pair of simultaneous equations:[br][br]x + y = 6[br]5x - 2y = 2[br]_______________________________________________________________________________________________[br][br]Exercise: By using the slider bars to change the equations, solve the following five pairs of simultaneous linear equations:[br][br]2x - 3y = 18[br]3x + 5y = 8[br][br]4x - 5y = 15[br]-3x + 2y = -20[br][br]2x + y = 14[br]3x - 2y = -7[br][br]x = 16[br]2x - 5y = 7[br][br]4x + 3y = 5[br]5x + y = -13[br][br]All the answers should be integers.