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## For 15 points.Explain, in your own words, the steps necessary to solve a system of equations using the substitution method.

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For 15 points.Explain, in your own words, the steps necessary to solve a system of equations

using the substitution method.

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Mathematics
1 year
2021-09-04T01:14:34+00:00
2021-09-04T01:14:34+00:00 1 Answers
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## Answers ( )

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Required Answer:-First, what is an equation?➳ A mathematical statement which shows that two algebraic expressions are equal is called and equation.

Or, LHS = RHS

:- 3x – 5 = x + 8ExampleAn equation is said to be a linear equation if it contains only one variable (literal) with highest power 1.

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Solving an equation:-To solve the equation x + 5 = 7 means to find the value of an unknown algebraic quantity used in the equation.

:-Example⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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Rules for solving an equationbythesubstitutionmethod:–❶RuleIf x = 2, the value of the expression 3x + 2 = 3 × 2 + 2 = 6 + 2 = 8

❷RuleIf x = 0, the value of the expression 3x + 2 = 3 × 0 + 2 = 0 + 2 = 2

❸RuleIf x = -2, the value of the expression 3x + 2 = 3 × -2 + 2 = -6 + 2 = -4

Now consider the algebraic expression 5x – 2y

This expression consists of variables x and y.

Now if :-

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The process of finding the value of an algebraic expression by substituting the given value of its variable is called

substitution.⠀⠀