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

Question

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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Neala 1 year 2021-09-04T01:14:34+00:00 1 Answers 8 views 0

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    0
    2021-09-04T01:16:15+00:00

    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

    Example:- 3x – 5 = x + 8

    An equation is said to be a linear equation if it contains only one variable (literal) with highest power 1.

    _______________________

    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:-

    • To solve the equation x + 5 = 7 means to find the value of x.
    • To solve the equation 3y + 2 = 9 means to find the value of y.
    • To solve the equation [tex]\sf \dfrac{2a}{3} + 4 = 10[/tex] means to find the value of a ⠀⠀⠀⠀⠀⠀and so on!

    ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

    Rules for solving an equation by the substitution method:

    Rule ❶ 

    If x = 2, the value of the expression 3x + 2 = 3 × 2 + 2 = 6 + 2 = 8

    Rule

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

    Rule ❸ 

    If 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 :-

    • x = 3 and y = 2, 5x – 2y = 5 × 3 2 × 2 = 15 – 4 = 11
    • x = 8 and y = 5, 5x – 2y = 5 × 8 – 2 × 5 = 40 – 10 = 30

    ⠀⠀⠀⠀⠀⠀⠀⠀

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

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )