Simultaneous equationsIB MYP Maths Standard: Mind map

Exam questions on Simultaneous equations

1. Two lines have equations $y=2x+1$ and $x+y=7$.
   Explain what the solution of the pair of equations tells you about the graphs of the two lines.2 marks
2. A pair of simultaneous equations is $3x+2y=16$ and $5x-2y=8$.
   Find the value of $y$, and check that your solution satisfies the other equation.2 marks
3. At a bookshop in Singapore, 2 notebooks and 3 pens cost 13.50 Singapore dollars (SGD). Also, 3 notebooks and 1 pen cost 11.50 SGD.
   Let $n$ be the price of a notebook and $p$ the price of a pen, in SGD. Write down two equations and eliminate one variable to obtain an equation in a single variable.3 marks