If 5x + 7y = 6xy & 4y - 3x = 3xy then solution of this system of equations is
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Given:-
And
Suppose ,
So,
• eq(1) → 5u + 7v = 6 ----------(3)
• eq(2) → 4u - 3v = 3. ------------(4)
{ we are going to solve those equations by substracting method }
Now,
eq(3) × 4 → 20u + 28v = 24 ---------(5)
eq(4) × 5 → 20u - 15v = 15 -----------(6)
~ eq(5) - eq(6) ↓
→ 28v + 15 v = 9
→ 43 v = 9
→ v = 9/43
By Substituting the value of v in eq (3) we get,
Since ,
~ u = 1/y
→ y = 1/u
→ y = 43/39
And
v = 1/x
→ x = 1/v
→ x = 43/9
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