1. Simultaneous
Equations
substitution

2. C1: Simultaneous equations
KUS objectives
BAT solve simultaneous equations by substitution
Starter:
Solve

3. and 4y=8x−16 So 𝑥 2 − 8x−16 =9 So x = 1 y = -2 x = 7 y = 10
substitution method
WB 6a
and
4y=8x−16 So
𝑥 2 − 8x−16 =9
Substitute in So
Now we can solve it!
x = 1
y = -2
x = 7
y = 10

4. try this one
WB 6b
and So
Substitute in So
Now we can solve it!

5. Extension: try this evil one
WB 7a
and 
Substitute in
Now we can solve it!

6. Extension: another evil Q
WB 7b
and So
Substitute in
Multiply out So
Gather together!
Simplify!

7. Practice 2
answers f) a) g) b) h) c) i) d) j) e)

8. Challenge J 2010 STEP I Question 1

9. One thing to improve is –
KUS objectives BAT solve simultaneous equations by substitution
self-assess
One thing learned is –
One thing to improve is –

10. END

11. The answers… a) x = 3, y = 1 or x = -7, y = -3
b) x = -4, y = 2 or x = -2, y = 4
c) x = 2, y = 5 or x = 4, y = 7
d) x = -2 , y = 5 one answer only
back
e) x = 3, y = 1 or x = -1, y = -3
f) x = 1, y = 5 or x = 4, y = 8
g) x = 1, y = 2 or x = 3, y = 0
h) x = -3, y = or x = -7, y = -19
i) x = -3, y = or x = -13/5 , y = 9/5
a) x = 2 , y = 2 or x = -1, y = 16/5