Solve the system of equations:

\[
\begin{align*}
0.6x - 0.3y &= -1.5 \\
0.04x - 0.02y &= -0.1
\end{align*}
\]

6x - 3y = -15; /* 2 => 12x - 6y = -30; 4x - 2y = -10; /*(-3) => -12x + 6y = 30 ____________
=> 0 = 0 True, for every x and every y real numbers;
the solution is {(x, 2x + 5) / x∈R };

Answered by crisforp | 2024-06-10

The system of equations has infinitely many solutions, as the two equations represent the same line. To express this, we can use parametric equations. For instance, the solutions can be represented as ( x , y ) = ( t , 2 t + 5 ) , t ∈ R .
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Answered by crisforp | 2025-04-30