SOLUTION: finding solution by graphing solve by graphing x+4y=-6 2x-3y=-1

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Question 203199This question is from textbook prentice hall
: finding solution by graphing solve by graphing x+4y=-6 2x-3y=-1 This question is from textbook prentice hall

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


In Eqn 1: x%2B4y=-6

Let Fy=0:
x%2B4%280%29=-6
red%28x=-6%29, X-Intercept
Let Fx=0:
0%2B4y=-6 ---> cross%284%29y%2Fcross%284%29=-6%2F4
Reduced: red%28y=-3%2F2%29, Y-Intercept

In Eqn 2: 2x-3y=-1

Let Fy=0:
2x-3%280%29=-1
cross%282%29x%2Fcross%282%29=-1%2F2
red%28x=-1%2F2%29, X-Intercept
Let Fx=0:
2%280%29-3y=-1
cross%28-3%29y%2Fcross%28-3%29=-1%2F-3
red%28y=1%2F3%29

*For the Point of intersection.
In Eqn 1, we isolate "x": x=-6-4y%28red%28Eqn3%29%29, subst. in Eqn 2:
2%28highlight%28-6-4y%29%29-3y=-1
-12-8y-3y=-1 ---> -12%2B1=8y%2B3y
-11=11y ---> cross%28-11%29-1%2Fcross%2811%29=cross%2811%29y%2Fcross%2811%29
highlight%28red%28y=-1%29%29, subst. in red%28Eqn3%29%29

x=-6-4%28highlight%28-1%29%29=-6%2B4
highlight%28red%28x=-2%29%29

*POI = (-2,-1)

We see both lines:
--->Red=Eqn.1; Green=Eqn.2

Thank you,
Jojo