SIMULTANEOUS EQUATIONS

1.	(a)	Solve the simultaneous equations
	3f + 2c = 425
	f  + c = 160
..................................................................................................................................
..................................................................................................................................
..................................................................................................................................
..................................................................................................................................
 (3)
(b)	The cost of 3 fish and 2 portions of chips is £4.25.
The cost of 1 fish and 1 portion of chips is £1.60.
	Find the cost of 3 fish and 1 portion of chips.
..................................................................................................................................
..................................................................................................................................
..................................................................................................................................
(1)
2.	Solve the simultaneous equations
2x + 3y =  4
3x – y = 17.
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
............................................................................................................................................
 (4)

3.	Solve the simultaneous equations
	6x + 3y = 12
2x –  y = –2.
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
 (4)

4.	(a)	(i)	Factorise x2 – 7x – 8
.....……………………………………………………………………………..
.....……………………………………………………………………………..
Answer ............................................
(2)
(ii)	Hence solve the equation x2 – 7x – 8 = 0
.....……………………………………………………………………………..
Answer ............................................
(1)

(b)	Solve the simultaneous equations
	5x + 3y = 13
3x + 5y = 3
	You must show your working.
Do not use trial and improvement.
...............……………………………………………………………………………..
...............……………………………………………………………………………..
...............……………………………………………………………………………..
...............……………………………………………………………………………..
...............……………………………………………………………………………..
...............……………………………………………………………………………..
Answer x = ....................., y = .......................
(4)
5.	Solve the simultaneous equations          4x + 3y = 14           2x + y = 5
	You must show your working.
Do not use trial and improvement.
.................................................................................................................................................
.................................................................................................................................................
.................................................................................................................................................
.................................................................................................................................................
.................................................................................................................................................
.................................................................................................................................................
Answer x = ....................... , y = ..........................
( 3 )