Question

3x-5y=11
X=3y+1
Solve by substitution

Answer 1

`3x-5y=11 \\ x=3y+1 \\ \\ \hbox{substitute 3y+1 for x in the 1st equation and solve for y:} \\ 3(3y+1)-5y=11 \\ 9y+3-5y=11 \\ 4y+3=11 \\ 4y=11-3 \\ 4y=8 \\ y=(8)/(4) \\ y=2 \\ \\ \hbox{now substitute 2 for y in one of the equations and solve for x:} \\ x=3 * 2 +1 \\ x=6+1 \\ x=7 \\ \\ \hbox{the answer:} \\ x=7 \\ y=2`