Algebraic Equation
An algebraic equation is a mathematical expression that contains one or more variables, along with constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division
An algebraic equation is a mathematical expression that contains one or more variables, along with constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division. It represents the equality relationship between two algebraic expressions.
An algebraic equation is typically written in the form:
ax + b = c
Where ‘a’, ‘b’, and ‘c’ are constants, ‘x’ is the variable, and ‘ax + b’ is an algebraic expression. The goal of solving an algebraic equation is to find the value(s) of the variable that satisfy the equation.
For example, consider the equation:
2x + 5 = 11
To solve this equation, we need to isolate the variable ‘x’. We can do this by performing operations on both sides of the equation to maintain the equality. In this case, we can subtract 5 from both sides:
2x + 5 – 5 = 11 – 5
This simplifies to:
2x = 6
To isolate ‘x’, we divide both sides by 2:
(2x)/2 = 6/2
Therefore:
x = 3
So the solution to the equation 2x + 5 = 11 is x = 3.
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