Question

Solve the system of equations by substitution:3y - 6x = 248 + 2x = y

Answer 1

Step 1

Given; The system of equation

`\begin{gathered} 3y-6x=24--(1) \\ 8+2x=y--(2) \end{gathered}`

Required; To solve the system of equations using the substitution method.

Step 2

From equation 2

`\begin{gathered} y=8+2x \\ Substituting\text{ this in equation 1 gives} \\ 3(8+2x)-6x=24 \\ 24+6x-6x=24 \\ 24=24 \end{gathered}`

Since we have 24=24, then the solution to the system of equation is infinitely many solutions.

Answer;

`Infinitely\text{ many solutions}`