Question

Solve the system of equations by substitution

$\left\{\begin{array}{l}x=2y\\ 4x-8y=0\end{array}\right.$

Short answer

The system of equations has no solution.

Step-by-step solution

Step 1. Given the information

The system of equations is,

$\left\{\begin{array}{l}x=2y\\ 4x-8y=0\end{array}\right.$

Step 2. Substituting the value of x in the equation.

Substituting $x=2y$in the equation

$4x-8y=0$

$4\left(2y\right)-8y=0$

$8y-8y=0$

$0=0$

The system of equations has no solution.