<exercise masterit-seed="6373" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> -{y} = {x'} + {x} \hspace{2em}x(0)= 0 </me><me> 0 = 4 \, {x} - 6 \, {y} - {y'} \hspace{2em}x(0)= -3 </me></statement><answer><me>x= e^{\left(-2 \, t\right)} - e^{\left(-5 \, t\right)} </me><me>y= e^{\left(-2 \, t\right)} - 4 \, e^{\left(-5 \, t\right)} </me></answer></exercise>
