Question

5. Solve the system of linear equations. 2x + 6y = -3 2x + y = 0 A. (0, 2) B. (9,7) C. no solution D. infinitely many solutions

Answer 1

We want to solve the system of linear equations;

$\begin{gathered} 2x+6y=-3\text{ ---i} \\ 2x+y=0\text{ ---ii} \end{gathered}$

Let's start by eliminating x, subtract equation ii from i;

Thus,

$\begin{gathered} y=-\frac{3}{5} \\ \text{lets put this in equation i}i \\ 2x-\frac{3}{5}=0 \\ 2x=\frac{3}{5} \\ x=\frac{3}{10} \end{gathered}$

Therefore, the solution to the system of equations is;

x=3/10 and y = -3/5