138k views
2 votes
Estimate the solution to the system of equations-3x+3y=92x-7y=-14X=Y=

1 Answer

5 votes

\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

Related questions

asked Sep 28, 2024 93.3k views
VersifiXion asked Sep 28, 2024
by VersifiXion
7.7k points
1 answer
3 votes
93.3k views
asked Sep 28, 2024 78.2k views
Daniel Dewhurst asked Sep 28, 2024
by Daniel Dewhurst
7.9k points
1 answer
4 votes
78.2k views
asked Sep 6, 2024 221k views
Bugfish asked Sep 6, 2024
by Bugfish
7.8k points
1 answer
3 votes
221k views