Verify that the simultaneous equations
x+y=3x2+2y2−8x=6 \begin{aligned} x + y &= 3 \\ x^2 + 2y^2 - 8x &= 6 \end{aligned} x+yx2+2y2−8x=3=6have the solutions x=6,y=−3x = 6, y = -3x=6,y=−3 and x=23,y=73\displaystyle x = \frac{2}{3}, y = \frac{7}{3}x=32,y=37.
206 exam-style questions on Edexcel A Level Maths Equations and Inequalities, covering 3.1 Linear Simultaneous Equations, 3.2 Quadratic Simultaneous Equations, 3.3 Simultaneous Equations on Graphs, 3.4 Linear Inequalities, 3.5 Quadratic Inequalities, and 3.6 Inequalities on Graphs. Each one has a worked solution and a mark scheme showing where the marks go.