How do you solve $5 x - 2 y = 3$ and $y = 2 x$ ?

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Solution

Step -1: Solve the equation:
Substitute $y = 2 x$ in the equation $5 x - 2 y = 3$ and simplify:
$\begin{array}{rcl} 5 x - 2 (2 x) & = & 3 \\ \Rightarrow & 5 x - 4 x = 3 \\ \Rightarrow & x = 3 \end{array}$
Step- 2: Find the value of $y$ :
Substitute $x = 3$ in the equation $y = 2 x$ :
$\begin{array}{rcl} y & = & 2 (3) \\ = & 6 \end{array}$
Thus, the solution of the equations is $(x, y) = (3, 6)$ .
Therefore, the equations has been solved by substitution method.

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