Simultaneous equations

Solve the simultaneous equations

3𝑎 + 2𝑏 = 1

𝑎 + 2𝑏 = 5

(give your answers as a= b= )

Solve the simultaneous equations

𝑦 − 2𝑥 = 6

𝑦 + 2𝑥 = 0

(give your answer as x= y= )

Solve the simultaneous equations

3𝑥 − 2𝑦 = −5

2𝑥 − 4𝑦 = 2

(Give your answer in the form x= y= )

Solve the simultaneous equations

3𝑥 + 2𝑦 = 7

4𝑥 − 3𝑦 = 15

(Give your answer in the form x= y= )

P is the point of intersection of the lines with equations

5𝑥 + 3𝑦 = 9 and

7𝑥 − 2𝑦 = 25

Write down the coordinates of P.

(give your answer as a coordinate (x,y) )

Kate buys 2 lollies and 5 choc ices for £6.50

Pete buys 2 lollies and 3 choc ices for £4.30

Work out the cost of one lolly.

Give your answer in pence.