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system of equation

Enter simultaneous equation of two or three unknowns above

2 and 3 unknowns

system of equation practice questions

1. Mia has 4 pencils and 3 markers. How many total writing tools does she have?
2. If Sarah buys 2 notebooks for $1 each and 3 erasers for $0.50 each, how much does she spend in total?
3. Tommy has 5 marbles. If he gives 2 marbles to his friend, how many marbles does he have left?
4. A box contains 12 chocolates and 8 candies. How many sweets are in the box in total?
5. Emily has $10. If she spends $3 on a toy and $2 on a book, how much money does she have left

What is System of Equation?

A system of equations is when you have more than one algebraic equation that you need to solve at the same time. These equations usually have more than one variable (unknown), and you need to find the values of those variables that satisfy all the equations at once.

Simple Example

For example, let’s say there are two different kinds of fruit for sale at a store: apples and oranges. You know that you bought a total of 10 pieces of fruit and paid $12. You also know that each apple costs $1 and each orange costs $2. You can create a system of equations to figure out how many of each fruit you bought.

Equation 1: A + O = 10 (total pieces of fruit)
Equation 2: A + 2O = 12 (total cost)


Now, you can solve these equations simultaneously to find out how many apples (A) and oranges (O) you bought.

In this case, you can solve the equation by eliminating one of the variables. You can multiply Equation 1 by 2 and subtract Equation 2 to eliminate the variable A:

2(A + O) – (A + 2O) = 20 – 12
2A + 2O – A – 2O = 8
A = 8

Now that you know A = 8, you can substitute this value back into Equation 1 to find O:

8 + O = 10
O = 2

So, you bought 8 apples and 2 oranges. That’s how you solve a system of equations!