Answer:
(13.4,-4.2)
Step-by-step explanation:
The given system has equations:
[tex]20x - 5y = 289[/tex]
[tex]22x + 9y = 257[/tex]
Multiply the top equation by 9 and
Multiply the second equation by 5:
[tex]180x - 45y = 2601[/tex]
[tex]110x + 45y = 1285[/tex]
Add the new equations.
[tex]290x = 3886[/tex]
[tex]x = 13.4[/tex]
Put this into the first equation to get:
[tex]20(13.4) - 5y = 289 \\ 268 - 5y = 289 \\ - 5y = 21 \\ y = - 4.2[/tex]
