# SIMULTANEOUS EQUATIONS

Solve the following and the find the value of x:
5x + 3y = 23
2x + 4y = 12
Solve the following and the find the value of y:
x - 3y = -5
2y + 3x + 4 = 0
Solve the following and find the value of b:
3a - b= 9
2a + 2b = 14
Solve the following and find the value of a:
2a = 11 - b
a/5 - b/4=1
Solve the following and find the value of x:
-2y = 0.5 - 2x
6x + 3y = 6
Solve the following and find the value of q:
p + 3q - 7 = 0
2q - p - 3 = 0
A line y = mx + c passes through two points (4, 5) and (7, 2). What is the value of m?
Twice one number added to three times another number gives 36. The difference between two numbers is 3. Find the value of the smallest number.
The average of two numbers is 27 and three times the difference between them is 36. What is the value of the smaller of the two numbers?
4 apples and 9 oranges cost $12.5. 5 apples and 7 oranges cost$10.4. What is the cost of 1 orange?
The average of two numbers is 17. If one number is doubled and the other number is trebled, the average increases to 43. What is the larger of the two numbers?
A motorist buys 15 litres of petrol and 2 litres of oil for $25.90. Another motorist buys 18 litres of petrol and 3 litres of oil for$32.5. What is the cost of 1 litre of petrol?
Find the value of p in the following diagram.
The angles of a triangle are . The difference between the unknown angles is 40°. What is the value of the smallest angle of the triangle?
A wallet contains $40. It has$1 notes and $5 notes only. It has three times as many$1 notes as $5 notes. How many$5 notes are there in the wallet?