SOLUTION: this is the given 8x-4y=16 5y-10x=3

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Question 187550: this is the given
8x-4y=16
5y-10x=3
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given Line Eqnssystem%288x-4y=16%28EQN1%29%2C5y-10x=3%28EQN2%29%29
Multiply EQN 1 by 5: (8x-4y=16)(5)= 40x-20y=80=>cross%2840x%29-cross%2820y%29=80
Multiply EQN 2 by 4: (5y-10x=3)(4)= 20y-40x=12=>cross%2820y%29-cross%2840x%29=12
Result after addition: 0=92
No solution to satisfy given set of condition
Following Slope-Intercept Form to verifysystem%28y=mx%2Bb%29
In EQN1 --->4y=8x-16--->cross%284%29y%2Fcross%284%29=%288x-16%29%2F4
y=%288%2F4%29x-%2816%2F4%29=highlight%282%29x-4, EQN 1.1
In EQN 2--->5y=10x%2B3--->cross%285%29y%2Fcross%285%29=%2810x%2B3%29%2F5
y=%2810%2F5%29x%2B%283%2F5%29=highlight%282%29x%2B3%2F5, EQN 2.2

*Since the Slope are the same, these Lines are Parallel.
In EQN 1.1, Let fy=0---> 0=2x-4--->2x=4--->cross%282%29x%2Fcross%282%29=cross%284%292%2Fcross%282%29
red%28x=2%29, X-Intercept
Let fx=0---> y=%282%29%280%29-4=red%28-4%29 Y-Intercept
In EQN 2.2, Let fy=0---> 0=2x%2B3%2F5--->2x=-3%2F5--->cross%282%29x%2Fcross%282%29=%28-3%2F5%29%2F%282%29=%28-3%2F5%29%281%2F2%29
red%28x=-3%2F10%29, X-Intercept
Let fx=0---->y=%282%29%280%29%2B3%2F5=red%283%2F5%29, Y-Intercept

We graph the lines:
---> RED (EQN1); GREEN (EQN2)

Thank you,
Jojo