<exercise masterit-seed="1382" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> 2 \, {y} = -4 \, {x} + {x'} \hspace{2em}x(0)= -1 </me><me> -2 \, {x} = -9 \, {y} + {y'} \hspace{2em}x(0)= 1 </me></statement><answer><me>x= e^{\left(8 \, t\right)} - 2 \, e^{\left(5 \, t\right)} </me><me>y= 2 \, e^{\left(8 \, t\right)} - e^{\left(5 \, t\right)} </me></answer></exercise>
