Question
Asked Jul 4, 2019
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#1

Directions: FOR eAch PAIR of eguatioNs
deteemiwE whethee their aRAPhs would he pAeallel
peepeodrenlae,
OR NeitheR
3x-24
x- 142 6
2xSy 4
Zxt3 y-3
マフ
(H)-4x34 4
- 8x +6O
4 3x+3
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Directions: FOR eAch PAIR of eguatioNs deteemiwE whethee their aRAPhs would he pAeallel peepeodrenlae, OR NeitheR 3x-24 x- 142 6 2xSy 4 Zxt3 y-3 マフ (H)-4x34 4 - 8x +6O 4 3x+3

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Expert Answer

Step 1

The given pair of equation are 2x +5y = 4  and 4x +10y = 1.

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Consider the first equation 2x 5y 4 Write the equation in the form of y = mx +c That is 5 y -2x4 4 2 y x 5 5 2 Here, the slope of the equation is m 5

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Step 2

Consider the second equation  4x+10y=1.

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Write the equation in the form of y=mx +c That is 10y-4x -4 1 y =_x+ 10 10 -2 1 y=_x+ 5 10 2 Here, the slope of the equation is m, =--. 5 Note that, the two lines are perpendicular the product of the slopes is equal to -1 2 2 4 5 25 5

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Step 3

Note that, the two lines are paralle...

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That is mm2 2 5 5 It is observed that, the pair of equations are parallel.

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Algebra

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