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geraldo has 3 fewer marbles than yan. together, they have 21 marbles. which equation represents this situation

geraldo has 3 fewer marbles than yan. together, they have 21 marbles. which equation represents this situation

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Guest [Entry]

"Algebraic expressions

Algebraic equations consist of several terms with mathematical operations. Mathematical statements can be expressed in algebraic equations. The Equation represents for the marbles is 2x-3=21.

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants, and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:  

1. phrases  

algebraic forms separated by arithmetic operations  

consists of one phrase (monomial) to many phrases (polynomial)  

2. variable  

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.  

3. constants  

is a fixed value, can be a number  

4. arithmetic operations ⇒ +, -,:, x  

Calculation operations include multiply, divide, add, subtract, etc.

Geraldo has 3 fewer marbles than Yan

We state in Algebraic expressions :

x = variable for marbles

Yan's marbles = x

Geraldo's marbles = x-3

Total marbles = 21

then :

Yan's marbles + Geraldo's marbles = 21

x + x - 3 = 21 ⇒combine like terms

x + x = 21 + 3

2x = 24 ⇒ divide both sides by 2

2x : 2 = 24 : 2

x = 12

So Yan's marbles = x = 12

Geraldo's marbles = x - 3 = 12 - 3 = 9

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