solve this system of equations by elimination

 

imageimage5x^2-5y^2=-35
5x^2+2y^2=77
please show how to solve problem

 

 

imageimage

 
 

imageimage

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1 Answer

1...5x^2 -5y^2 =-35

2...5x^2 +2y^x=77

1-2...(0 x^2) - 7y^2=-35 -77=-112

so y^2=112/7=16

thus, y=+-4

from 1, 5x^2=5y^2-35...=5*16-35...=80-35=45, or x^2=45/5=9

x=+-3
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