Given the equations \begin{align} x_2 + 2x_3 − x_4 + 2x_5 &= 11\\ x_1 + x_2 − x_5 &= 5\\ 2x_1 + x_2 + 2x_3 + x_4 &= 15\\ \end{align} Through row operations I got the equations

\begin{align} 2x_1+x_2+2x3+x_4&=15\\ x_2-2x_3-x4-2x_5&=-5\\ x_3+x_5&= 4 \end{align} It seems that I will have $3$ free variables but I am not sure how to go about solving the equation in echelon form.



Let $x_4=s$ and $x_5=t$.

Express $x_1,x_2,x_3$ in terms of $s$ and $t$.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.