SOLUTION: X= -3Y X+Y=4 SO WHAT POINT REPRESENTS THE COMMON SOLUTION FOR THE SYSTEM OF EQUATIONS? I know the answer is (6,-2), but how did they get that answer?

Question 192890: X= -3Y X+Y=4 SO WHAT POINT REPRESENTS THE COMMON SOLUTION FOR THE SYSTEM OF EQUATIONS? I know the answer is (6,-2), but how did they get that answer?

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

EQN 1 : x = 3y

Via Slope-Intercept Form,

So the line has a
Since , from the origin (0,0) --> one step down on y-axis(-1), then 3 steps right on x-axis(+3) for the next point.
---> point (3,-1)

From point (3,-1), move one step down on y-axis (-1), and 3 steps right on x-axis(+3):
---> Next point (6,-2)

Going back from the Origin (0,0), we move one step up on the y-axis(+1) and 3 steps to the left on x-axis(-3). this is to maintain our Slope=.
---> Next point (-3,1)

From point (-3,1), another one step up (+1) and 3 steps to the left(-3):
---> Next point (-6,2)

We connect the points for Line

For the Next Line X+Y=4

Let Fy=0:

---> , X-Intercept

Let Fx=0:

,Y-Intercept

We see both Lines in the graph:
---> intersects at point (6,-2) on

Thank you,
Jojo

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