Solve the simultaneous equations. You must show all your working. $$\[ \begin{aligned} y & =4-x \\ x^{2}+2 y^{2} & =67 \end{aligned} \]$$ $$\[ \begin{aligned} & x=\ldots \ldots \ldots \ldots \ldots \ldots, y=. ................ . \\ & x=\ldots \ldots \ldots \ldots \ldots \ldots, y=. ................ . \end{aligned} \]$$
Exam No：0580_s20_qp_43 Year：2020 Question No：4(c)
Answer:
\(3 x^{2}-16 x-35[=0]\) or
\(3 y^{2}-8 y-51[=0]\)
\((3 x+5)(x-7)[=0]\)
or \((3 y-17)(y+3)[=0]\)
\(x=7, y=-3\)
\(x=-\frac{5}{3}, y=5 \frac{2}{3}\)
\(3 y^{2}-8 y-51[=0]\)
\((3 x+5)(x-7)[=0]\)
or \((3 y-17)(y+3)[=0]\)
\(x=7, y=-3\)
\(x=-\frac{5}{3}, y=5 \frac{2}{3}\)
Knowledge points:
E2.5.3 Derive and solve simultaneous equations, involving one linear and one quadratic.
Solution:
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