SOLUTION: Find the intersecting point of 2x+4y=6 and 2x+y=-4

Question 117185: Find the intersecting point of 2x+4y=6 and 2x+y=-4
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
2X+4Y=6 OR 4Y=-2X+6 OR Y=-2X/4+6/4 OR Y=-X/2+3/2 (RED LINE)
2X+Y=-4 OR Y=-2X-4 (GREEN LINE)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/2 +3/2 and y = -2x -4).
IT'S A LITTLE DIFICULT TO INTERPRET THE INTERSECTION FROM THE GRAPH SO WE'LL SOLVE THE 2 EQUATIONS BY SETTING THE RIGHT SIDE OF THE EQUATION EQUAL TO EACH OTHER SEEING AS THEY ARE BOTH EQUAL TO Y:
-.5X+1.5=-2X-4
-.5X+2X=-4-1.5
1.5X=-5.5
X=-5.5/1.5
X=-11/3 0R -3 2/3 ANSWER FOR THE X INTERSECTION POINT.
Y=-2*-11/3-4
Y=22/3-4
Y=(22-12)/3
Y=10/3 OR 3 1/3 ANSWER FOR THE Y INTERSECTION POINT.
OR (-11/3,10/3) IS THE EXACT INTERSECTION OF THESE 2 LINES.

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