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Answer : x = 119 & y = 147
Solution :
Given that :
x = 3k + 5, and
y = 4k - 5
Also given the linear equation :
5x - 4y = 7 ....(1)
Now, On putting the value of x and y in equation (1) :
5(3k + 5) - 4(4k - 5) = 7
=> 15k + 25 - 16k + 20 = 7
=> 16k - 15k = 25 + 20 - 7
=> k = 38
On putting the value of k for x and y :
(a) x = 3k + 5
=> x = 3 × 38 + 5
=> x = 119
(b) y = 4k - 5
=> y = 4 × 38 - 5
=> y = 147
I hope it will be helpful for you ☺️
Fóllòw MË ❤️
Answered by
1
Answer:
Here is your answer
Step-by-step explanation:
putting value of x and y In given linear eqn.
5x - 4y = 7
5 ( 3k + 5 ) - 4 ( 4k - 5 ) = 7
now just multiply the terms with no.
15k + 25 - 16k - 20 = 7
-1k - 5 = 7
-1k = 7 + 5
-k = 12
k = -12
putting value of k in both eqn. to get x and y .
x = 3k + 5
= 3 × -12 + 5
= -36 + 5
= -31
y = 4k - 5
= 4× -12 - 5
= -48 - 5
= -53
:. hence proved
HOPE IT HELPS YOU...
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