The graph of this system of equations is which of the following?2x + y = 66x + 3y = 12

Answer:no solutionStep-by-step explanation:We only need two points to draw a graph of each equation.2x + y = 6Convert to the slope-intercept form y = mx + b:2x + y = 6          subtract 2x from both sidesy = -2x + 6for x = 0 → y = -2(0) + 6 = 0 + 6 = 6 → (0, 6)for x = 3 → y = -2(3) + 6 = -6 + 6 = 0 → (3, 0)6x + 3y = 12Convert to the slope-intercept form:6x + 3y = 12            subtract 6x from both sides3y = -6x + 12          divide both sides by 3y = -2x + 4for x = 0 → y= -2(0) + 4 = 0 + 4 = 4 → (0, 4)for x = 2 → y = -2(2) + 4 = -4 + 4 = 0 → (2, 0)Mark given points in the coordinate system.Draw the lines passing through these points.Look at the picture.The lines are parallel. The intersection of the line is not exist. Therefore the system of equations has no solution.