Question

Solve the system using the substitution method. (If there is no solution, enter NO SOLUTION.)3x + 2y = 15x = y + 15(x, y) =

Answer 1

We hahve to solve the following system of equations:

`\begin{gathered} 3x+2y=15 \\ x=y+15 \end{gathered}`

We can use the second equation to replace x in the first equation and solve for y as:

`\begin{gathered} 3x+2y=15 \\ 3(y+15)+2y=15 \\ 3y+45+2y=15 \\ 5y=15-45 \\ 5y=-30 \\ y=(-30)/(5) \\ y=-6 \end{gathered}`

Knowing y we can calculate x as:

`\begin{gathered} x=y+15 \\ x=-6+15 \\ x=9 \end{gathered}`

Answer: (x,y) = (9,-6)