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Answer :
We have:\(\frac { 3 }{ 7 } + x = \frac { 17 }{ 7 }\)
⇒\(\frac { 3 }{ 7 } -\frac{3}7 + x = \frac { 17 }{ 7 }-\frac{3}7 \quad \) (subtracting \(\frac{3}7\) on both sides)
⇒ x=\(\frac{17-3}7\)
⇒ x=\(\frac{14}7=2\)
⇒ x=2
Check:
Keep x=2 in the given equation:
L.H.S= x+\(\frac{3}7\)=\(\frac{3}7+2\)=\(\frac{3+2×7}{7}\)= \(\frac{17}7 \)=R.H.S
Hence we have x=2 as the solution.