Question

Find the ordered pair that is a member of both 3x + 5y = 4 and x = -3 -6y or indicate if there is no solution or infinite possibilities.

Answer 1

In this problem the equation system is:

`\begin{gathered} 3x+5y=4 \\ x=-3-6y \end{gathered}`

SO we can replace the second equation into the first equation so:

`3(-3-6y)+5y=4`

and we solve for y so:

`\begin{gathered} -9-18y+5y=4 \\ 13y=-9-4 \\ y=-(13)/(13) \\ y=-1 \end{gathered}`

Now we can replace the value of y into the second equation so:

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

So the ordered pir is:

`(3,-1)`