The graphs of the equations 2x + 3y = 11 and x - 2y + 12 = 0 intersec…

Question

The graphs of the equations 2x + 3y = 11 and x - 2y + 12 = 0 intersects at P(x1, y1) and the graph of the equation x - 2y + 12 = 0 intersects the x-axis at Q(x2, y2). What is the value of (x1 - x2 + y1 + y2)?

Accepted Answer

Option C. 15. Answer & Solution Answer: Option C Solution: & 2x + 3y = 11 . . . . . . ( i ) & x - 2y = - 12 . . . . . . ( ii )_ × 2 & \,2x - 4y = - 24 & \,2x + 3y = 11\, & \,\,\,\,\,\,\,\,\,\,\,\,7y = 35 & \,\,\,\,\,\,\,\,\,\,\,\,\,\,y = 5 & From equation ( i ) & 2x + 15 = 11 & x = - 2 & ( x_…