Solve it without a GC.
Answers given: x=6, y=0 or x=10/3, y=4/3
I got the 2nd set of answers but i can't seem to get x=6 and y=0
Please help me thank you! If possible please include explanation. Once again, thank you
Solve it without a GC.
Answers given: x=6, y=0 or x=10/3, y=4/3
I got the 2nd set of answers but i can't seem to get x=6 and y=0
Please help me thank you! If possible please include explanation. Once again, thank you
$\displaystyle 4x+12=2y+5x+6 \Rightarrow y=\frac{6-x}{2}$
$\displaystyle 4x+12=x^2+8y^2 \Rightarrow 4x+12=x^2+8\left(\frac{6-x}{2}\right)^2 \Rightarrow$
$\displaystyle 4x+12=3x^2-24x+72 \Rightarrow$
$\displaystyle 3x^2-28x+60=0 \Rightarrow$
$\displaystyle (x=6)$ or $\left(x=\frac{10}{3}\right)$
$\displaystyle x=6 \Rightarrow y=0$ and $x=\frac{10}{3} \Rightarrow y=\frac{4}{3}$