Chapter 9 Quadratic Relations and Conic Sections - 9.7 Solve Quadratic Systems - 9.7 Exercises - Quiz for Lessons 9.6-9.7 - Page 664: 13

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Given: $16x^2+9y^2+32x-18y=119\\x^2+y^2+2x+6y=15$ Multiply the second equation by $-16$ and add it to the first equation: $-7y^2-114y+121=0$ We found $y_1=1\\y_2=-\frac{121}{7}$ The second solution does not make sense; thus we will take only the first solution. Find the values of $x$ $x^2+1^2+2x+6(1)=15\\x^2+2x-8=0\\\rightarrow x_1=-4\lor x_2=2$