SOLUTION: x-2y=6 y=11-3x

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Question 188339: x-2y=6
y=11-3x
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Givensystem%28x-2y=6%28EQN1%29%2Cy=11-3x%28EQN2%29%29
Substitute EQN2 in EQN1:

x-2%28highlight%2811-3x%29%29=6
x-22%2B6x=6
7x=22%2B6=28 ---->cross%287%29x%2Fcross%287%29=cross%2828%294%2Fcross%287%29
red%28x=4%29, substitute in EQN2
y=11-3%28highlight%284%29%29=11-12=red%28-1%29

*These two lines intersect at point (4,-1)

Let's find the intercepts:
In EQN1,
let fy=0 ---> x-%282%29%280%29=6 ---> red%28x=6%29 , X-Intercept
let fx=0 ---> 0-2%28y%29=6 ----> cross%28-2%29y%2Fcross%28-2%29=cross%286%29-3%2Fcross%28-2%29 ----> red%28y=-3%29, Y-Intercept

In EQN+2,
let fy=o ----> 0=11-3x ----> 3x=11 ---> cross%283%29x%2Fcross%283%29=11%2F3 ----> red%28x=11%2F3%29, X -Intercept
let fx= 0 ---> y=11-3%280%29 ---> red%28y=11%29, Y-Intercept

Let' see the graph;
---> RED, EQN1;; GREEN, EQN2

Thank you,
Jojo