Hi, can someone please help me solve the following by graphing? Thanks in advance! 1. 3x - 5y = -9 5x - 6y = -8 Get some points on the first line: (-8,-3), (-3,0), and (7,6), plot them and draw a red line through them:Get some points on the second line: (-10,-7), (-4,-2), and (8,8), plot them and draw a green line through them: Now we have to guess where the two lines intersect. To do this draw a blue vertical line through the point of intersection: Notice that it crosses the x-axis at 2, so the x coordinate of the point of intersection is 2. Now draw a horizontal line through the point of intersection: Notice that it crosses the y-axis at 3, so the y coordinate of the point of intersection is 3. So the solution is (x,y) = (2,3) Check substitute 2 for x and 3 for y in both original equations: 3x - 5y = -9 5x - 6y = -8 3(2) - 5(3) = -9 5(2) - 6(3) = -8 6 - 15 = -9 10 - 18 = -8 -9 = -9 -8 = -8 It checks. 2. 4x + 5y = -2 4y - x = 11 Get some points on the first line: (-8,6), (2,-2), and (7,-6), plot them and draw a red line through them: Get some points on the second line: (-7,1), (5,4), and (9,5), plot them and draw a green line through them: Now we have to guess where the two lines intersect. To do this draw a blue vertical line through the point of intersection: Notice that it crosses the x-axis at -3, so the x coordinate of the point of intersection is -3. Now draw a horizontal line through the point of intersection: Notice that it crosses the y-axis at 2, so the y coordinate of the point of intersection is 2. So the solution is (x,y) = (-3,2) Check substitute -3 for x and 2 for y in both original equations: 2. 4x + 5y = -2 4y - x = 11 4(-3) + 5(2) = -2 4(2) - (-3) = 11 -12 + 10 = -2 8 + 3 = 11 -2 = -2 11 = 11 It checks. Edwin