Step 10 Objective
Solve a pair of simultaneous linear equations by eliminating one variable; link a graphical representation of an equation or pair of equations to the algebraic solution.
- Examples of what pupils should
know and be able to do - Probing questions
- What if pupils find
this a barrier?
What if pupils find this a barrier?
Ask pupils to find all the possible solutions for one of the linear equations,
for example 5x + y = 17. Similarly ask pupils to find
a range of solutions for a second linear equation, say 5x –
y = 3.
Explore what they notice.
Repeat for other pairs – then establish a link with graphical representation.
It may be necessary for pupils to convince themselves that multiplying produces
an equivalent equation – so 5x + y = 17 is equivalent
to:
10x + 2y = 34
15x + 3y = 51
–5x – y = –17, etc