<exercise masterit-seed="7926" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> {x'} - {x} = 3 \, {y} \hspace{2em}x(0)= -2 </me><me> -12 \, {x} = -4 \, {y} - {y'} \hspace{2em}x(0)= -7 </me></statement><answer><me>x= -3 \, e^{\left(5 \, t\right)} + e^{\left(-8 \, t\right)} </me><me>y= -4 \, e^{\left(5 \, t\right)} - 3 \, e^{\left(-8 \, t\right)} </me></answer></exercise>
