Question # 1

Solve the simultaneous equations:

5x + 2y = 9

3x + 2y = 7


Question # 2

Solve the simultaneous
equations:
3b - 4c = 7
b + 4c = 13


Question # 3

Solve the simultaneous equations:

5x - 6y = 27

3x - 2y = 13


Question # 4

Solve the simultaneous equations
2x - 3y = 7
5x + 4y = 6


Question # 5

Solve the following
simultaneous equations:

3x + 8y = - 34

2x - 39 = 7y






Question # 6

Solve the simultaneous
equations
13 x - 6 y = 20
7x + 4 y = 18


Question # 7

Solve the pair of simultaneous equations.
x + 2y = 5
3y = 10 - 4x


Question # 8

Solve the simultaneous equations

3x - 4y = 7

x y
- + - = 2
4 5



Question # 9

Solve the simultaneous equations
1
- (2x+1) + y = 1
3

3x + 4 = 2(1 - y)


Question # 10

The total cost of the
tickets to a show for 4 adults and 6 children is $32 while the cost for 3 adults
and 2 children is $19. Let the cost of an adult's ticket be $x and the cost of a
child's ticket be $y.
a) Write down two simultaneous equations in x and y.
b) Hence solve the two simultaneous equations to find the cost of an adult's
ticket and that of a child's ticket











Question # 11

ABC is an
equilateral triangle, ie. all its sides are equal in length.
a) Form 2
simultaneous equations from the information given.
b) By solving the
simultaneous equations, find the value of x and y.
c) Hence, find the
perimeter of the triangle.


Question # 12

The sum of two
positive numbers is 60. If one number is greater than the

other by 4,
find the two numbers

(Sorry, diagram for Qn.11 is not available, check your heymath account)