If x=2k-2 and y=k+1 is a solution of equation 2x-y=4 then find the value of k
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Answer:
Put the values of x and y in 2x-y=4
2(2k-2)-(k+1)=4
4k-4-k-1=4
3k-5=5
3k=10
k=10/3
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Answered by
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Step-by-step explanation:
x=2k-2___(1)
y=k+1___(2)
2x-y=4___(3)
from eq.(2)
y=k+1
k=y-1___(4)
now,put eq.(4) in eq(1)
x=2(y-1)-2
x=2y-2-2
x=2y-4___(5)
now put eq(5) in eq(3)
2(2y-4)-y=4
4y-8-y=4
3y=12
{y=4}
put the value of y in eq(2)
2=k+1
[k=1]******
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