substitute
When talking about substitution in mathematics, we typically refer to the process of replacing a variable with a specific value or expression in an equation or formula
When talking about substitution in mathematics, we typically refer to the process of replacing a variable with a specific value or expression in an equation or formula. This technique is primarily used to simplify or solve equations.
To demonstrate this, let’s say we have the equation:
2x + 3 = 7
To solve for x, we can use the method of substitution. Let’s substitute a value for x and see what happens:
If we choose x = 2, we can substitute this value back into the original equation:
2(2) + 3 = 7
On simplifying this equation, we get:
4 + 3 = 7
Clearly, this equation is true, which means that x = 2 is a valid solution to the original equation.
Substitution can also be used to simplify expressions. For example, consider the expression:
5x + 7x – 3x
If we substitute a value for x, let’s say x = 2, we can substitute this value back into the expression:
5(2) + 7(2) – 3(2)
On simplifying this expression, we have:
10 + 14 – 6
Which further simplifies to:
24
So, by substituting x = 2 into this expression, we obtain the value 24.
In summary, substitution is a powerful technique in mathematics that allows us to substitute specific values or expressions into equations or expressions, which helps us simplify or solve them.
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