Question

Y= 2x – 15y = 5x Solve the system by using the substitution method

Answer 1

Substituting the second equation in the first one, we get:

`5x=2x-15.`

Subtracting 2x from the above equation we get:

`\begin{gathered} 5x-2x=2x-15-2x, \\ 3x=-15. \end{gathered}`

Dividing by 3, we get:

`\begin{gathered} (3x)/(3)=-(15)/(3), \\ x=-5. \end{gathered}`

Substituting the above result in the second equation of the system, we get:

`\begin{gathered} y=5\cdot(-5), \\ y=-25. \end{gathered}`

Answer:

`\begin{gathered} x=-5, \\ y=-25. \end{gathered}`