Question

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

Answer 1

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)