Solve the following simultaneous equations :\[ 3x + 4y = 18 \]\[ 5x - 2y = 4 \]
Q.2 (B)(ii) Solve the following simultaneous equations :
\[ 3x + 4y = 18 \]
\[ 5x - 2y = 4 \]
Q.2 (B)(ii) Solve the following simultaneous equations :
\[ 3x + 4y = 18 \]
\[ 5x - 2y = 4 \]
Best answer
Answer: \(x = 2,\ y = 3\)
\(3x + 4y = 18\) ...(I)
\(5x - 2y = 4\) ...(II)
Multiplying (II) by 2: \(10x - 4y = 8\) ...(III)
Adding (I) and (III): \(13x = 26\), so \(x = 2\).
Putting \(x = 2\) in (I): \(6 + 4y = 18\), so \(4y = 12\) and \(y = 3\).
Check in (II): \(5(2) - 2(3) = 10 - 6 = 4\).
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