Solve the simultaneous equations $$2x + y = 8$$ $$x + 2y = 1$$
$x = 5$, $y = -2$
Solve the simultaneous equations $$x + y - 3 = 0$$ $$x + 2y + 1 = 0$$
$x = 7$ and $y = -4$
Solve the simultaneous equations $$4x + 3y = 5$$ $$2x - 6y = -5$$
$x = \dfrac{1}{2}$ and $y = 1$
Solve the simultaneous equations $$x + 2y + 11 = 0$$ $$2x - 3y + 1 = 0$$
$x = -5$ and $y = -3$
Solve the simultaneous equations $$3x + 3y + 4 = 0$$ $$5x - 2y - 5 = 0$$
$x = \dfrac{1}{3}$ and $y = -\dfrac{5}{3}$
Solve the simultaneous equations $$3x - 2y = 17$$ $$5x - 3y = 28$$
$x = 5$ and $y = -1$
Solve the simultaneous equations $$y = 4x + 11$$ $$y = x^2 + 3x - 1$$
$x = -3$ and $y = -1$ or $x = 4$ and $y = 27$
Solve the simultaneous equations $$y = 2x - 1$$ $$y = 2x^2 + 3x - 7$$
$x = -2$ and $y = -5$ or $x = \frac{3}{2}$ and $y = 2$
Solve the simultaneous equations $$x^2 - y + 3 = 0$$ $$x - y + 5 = 0$$
$x = -1$ and $y = 4$ or $x = 2$ and $y = 7$
Solve the simultaneous equations $$x^2 + 2xy + 15 = 0$$ $$2x - y + 10 = 0$$
$x = -3$ and $y = 4$ or $x = -1$ and $y = 8$
Solve the simultaneous equations $$2x^2 + xy + y^2 = 22$$ $$x + y = 4$$
$x = -1$ and $y = 5$ or $x = 3$ and $y = 1$
Solve the simultaneous equations $$2x^2 + y - y^2 = 8$$ $$2x - y = 3$$
$x = 2$ and $y = 1$ or $x = 5$ and $y = 7$
Solve the simultaneous equations $$3x^2 -xy + y^2 = 36$$ $$x - 2y = 10$$
$x = -2$ and $y = -6$ or $x = 2$ and $y = -4$
Solve the simultaneous equations $$2x^2 + x - 4y = 6$$ $$3x - 2y = 4$$
$x = \dfrac{1}{2}$ and $y = -\dfrac{5}{4}$ or $x = 2$ and $y = 1$
Solve the simultaneous equations $$x^2 + x + 2y^2 - 52 = 0$$ $$x - 3y + 17 = 0$$
$x = -5$ and $y = 4$ or $x = -2$ and $y = 5$
Solve the simultaneous equations $$x - \dfrac{1}{y} - 4y = 0$$ $$x - 6y - 1 = 0$$
$x = -5$ and $y = -1$ or $x = 4$ and $y = \dfrac{1}{2}$
Solve the simultaneous equations $$xy = 6$$ $$x - y = 5$$
$x = -1$ and $y = -6$ or $x = 6$ and $y = 1$
Solve the simultaneous equations $$xy = 12$$ $$2x + y = 10$$
$x = 3$ and $y = 4$ or $x = 2$ and $y = 6$
Use the discriminant to find the number of solutions to the simultaneous equations $$4 - y - x^2 = 0$$ $$5 - y - 2x = 0$$
$1$ pair of solutions
Use the discriminant to find the number of solutions to the simultaneous equations $$2x - y - 15 = 0$$ $$x^2 - 3x - y = 4$$
No solutions