SOLUTION: what the solution for the equations x^2-y^2=9 x^2+9y2=169 thank you

Question 27708: what the solution for the equations x^2-y^2=9
x^2+9y2=169
thank you
Answer by wuwei96815(245) (Show Source): You can put this solution on YOUR website!
x^2-y^2=9
x^2+9y^2=169

This set of equations can be solved by elimination and sustitution. First, multiply the first equation by -1, and then add the two equations together. This will eliminate x and allow us to solve for y.

-x^2+y^2=-9
x^2+9y^2=169
____________
10y^2=160
y^2=16
y=4

Now that you have the value of y you can substitute it in any one of the two equations and solve for x.
Let's use the first equation.
x^2-y^2=9
x^2-(4)^2=9
x^2-16=9
x^2=25
x=5

I hope that you were able to follow the solution. To check our answer substitute x=5 and y=4 in the equations.
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