Additional Mathematics – Simultaneous equations | e-Consult
Simultaneous equations (1 questions)
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From the first equation, \(x = 7 - 2y\).
Substituting into the second:
\(3(7 - 2y) - y = 4 \;\Rightarrow\; 21 - 6y - y = 4 \;\Rightarrow\; 21 - 7y = 4\)
\(7y = 17 \;\Rightarrow\; y = \dfrac{17}{7}\).
Then \(x = 7 - 2\left(\dfrac{17}{7}\right) = \dfrac{15}{7}\).
Hence the solution is \(\displaystyle x = \frac{15}{7},\; y = \frac{17}{7}\).