61.0k views
1 vote
solve the system of equations below algebraically. state the solution as an ordered pair. Show all work.

solve the system of equations below algebraically. state the solution as an ordered-example-1

1 Answer

4 votes

We have a system of equations:


\begin{gathered} x+9=y \\ x=4y-6 \end{gathered}

We can solve it by substitution, using the equality of the first equation, replacing y in the second equation:


\begin{gathered} x=4y-6 \\ x=4(x+9)-6 \\ x=4x+4\cdot9-6 \\ x=4x+36-6 \\ x=4x+30 \\ x-4x=30 \\ -3x=30 \\ x=-(30)/(3) \\ x=-10 \end{gathered}

With the value of x, we can calculate y as:


y=x+9=-10+9=-1

The solution expressed as ordered pair is (x,y) = (-10,-1).

Answer: (-10, -1)

User ChadNC
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.