203k views
2 votes
solve the linear system: y=6x - 11 and -2x - 3y= -7 answer will be a coordinate consisting of integers

User Zeagord
by
7.8k points

1 Answer

4 votes

Given the following system of equations:


\begin{gathered} y=6x-11 \\ -2x-3y=-7 \end{gathered}

we can substitute the first equation on the second to find the value of x:


\begin{gathered} -2x-3(6x-11)=-7 \\ \Rightarrow-2x-18x+33=-7 \\ \Rightarrow-20x=-7-33=-40 \\ \Rightarrow x=(-40)/(-20)=2 \\ x=2 \end{gathered}

Now we can find the value of y using x=2:


\begin{gathered} y=6(2)-11=12-11=1 \\ y=1 \end{gathered}

therefore, the solution of the system is (2,1)

User Jfisk
by
7.6k points

No related questions found

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

9.4m questions

12.2m answers

Categories