Solved: Solve the simultaneous linear equations for $x$ and $y$: $3x + y = 7$ and $x - 2y = 0$

Question

Solve the simultaneous linear equations for $x$ and $y$ : $3x + y = 7$ and $x - 2y = 0$

Verified Answer

$x = 2, y = 1$

Explanation & Step-by-Step Solving

Context: From the second equation, express $x$ as $x = 2y$ . Substitute this value into the first equation: $3(2y) + y = 7 \implies 6y + y = 7 \implies 7y = 7 \implies y = 1$ Substituting $y = 1$ back gives $x = 2(1) = 2$ .

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