# SOLUTION: The equations of 2 lines are shown below: 2x-4y=6 3x+y=-5 What are the coordinates of the point of intersection?

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 Question 36967: The equations of 2 lines are shown below: 2x-4y=6 3x+y=-5 What are the coordinates of the point of intersection?Found 2 solutions by checkley71, venugopalramana:Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!2X-4Y=6 3X+Y=-5 MULTIPLYING EQUATION 2 BY 4 WE GET 12X+4Y=20 ADDING TO EQUATION 12X+4Y=-20 2X-4Y=6 ------------- 14X=-14 OR X=-1 & 2(-1)-4Y=6 OR -2-4Y=6 OR -4Y=8 OR Y=8/-4 OR Y=-2 Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!lines are shown below: 2x-4y=6...................................I 3x+y=-5.............................II What are the coordinates of the point of intersection? WE HAVE TO SOLVE THE 2 EQNS.AS THE POINT OF INTERSECTION SHOULD LIE ON BOTH LINES AND HENCE SHOULD SATISFY BOTH EQNS. EQN.I+EQN.II*4..GIVES 2X-4Y+12X+4Y=6-20=-14 14X=-14 X=-1................SUBSTITUTING IN EQN.II 3*(-1)+Y=-5 -3+Y=-5 Y=-5+3=-2 HENCE POINT OF INTERSECTION IS (-1,-2)