Question

Estimate the solution to the system of equations-3x+3y=92x-7y=-14X=Y=

Answer 1

`\begin{gathered} -3x+3y=9,2x-7y=-14 \\ \text{ Now, for the first equation} \\ 3y=9+3x \\ y=3+x \\ \text{ Replacing that in the second equation} \\ 2x-7(3+x)=-14 \\ 2x-21-7x=-14 \\ -5x-21=-14 \\ -5x=-14+21 \\ -5x=7 \\ x=-(7)/(5) \end{gathered}`
`\begin{gathered} \text{ Now, since }y=3+x \\ y=3-(7)/(5) \\ y=(15-7)/(5) \\ y=(8)/(5) \end{gathered}`

Thus x= -1.4 and y=1.6