Question

Find the value of a if the line 7y =ax+4 and 2y=3-x are parallel
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Answer 1

Answer:

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Step-by-step explanation:

adding both equation

7y + 2y = ax - x + 3+ 4

9y = x(a -1) +7

(9y - 7) ÷ (a - 1) = x ______eq-1

put value of x in equation any of them

let take equation

2y = 3- x

2y = 3 - (9y -7) / (a -1)

2y = (3a - 3 - 9y - 7)÷ (a-1)

a-1 × 2y = 3a -9y -10

2ya -2y = 3a-9y-10

2ya -3a = -7y -10

a ( 2y - 3) = -7y -10

a = (- 7y - 10 )/ (2y - 3)

Answer 2

Answer:

a = -7/2

Step-by-step explanation:

7y = ax +4 ------------ 1

2y = 3- x------------2

in 1

7y = ax +4

y = (ax+4)/7

y = ax/7 +4/7 (y=mx+c)

m1=a/7

2y = 3- x

y=(3-x)/2

y = 3/2 -x/2 (y=mx+c)

m2 = -1/2

we know that,

m1 =m2(Since they are parallel)

a/7=-1/2

2a = -7

a = -7/2

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