Solve each system by substitution. 3u+8=4v 24v=6-3u

Expert Answers
embizze eNotes educator| Certified Educator

To use substitution, you solve one of the equations for one of the variables; then you substitute the expression for that variable into the other equation.



If we solve the first equation for v we get :


Now substitute `3/4u+2` in place of v in the second equation:




Then `v=3/4u+2=3/4(-2)+2`

so `v=-3/2+4/2=1/2`

The solution to the system is `u=-2,v=1/2`

Checking we get `3u+8=3(-2)+8=2=4(1/2)=4v`