<h3>★ <u>Required Answer:-</u></h3>
<u>First, what is an equation?</u>
➳ A mathematical statement which shows that two algebraic expressions are equal is called and equation.
Or, LHS = RHS
<u>Example</u>:- 3x - 5 = x + 8
An equation is said to be a linear equation if it contains only one variable (literal) with highest power 1.
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<u>Solving an equation:-</u>
To solve the equation x + 5 = 7 means to find the value of an unknown algebraic quantity used in the equation.
<u>Example</u>:-
- 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 means to find the value of a ⠀⠀⠀⠀⠀⠀and so on!
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★ <u>Rules for solving an equation</u><u> </u><u>by</u><u> </u><u>the</u><u> </u><u>substitution</u><u> </u><u>method</u><u>:</u><u>-</u>
<u>Rule</u> ❶
If x = 2, the value of the expression 3x + 2 = 3 × 2 + 2 = 6 + 2 = 8
<u>Rule</u> ❷
If x = 0, the value of the expression 3x + 2 = 3 × 0 + 2 = 0 + 2 = 2
<u>Rule</u> 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
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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.⠀⠀
Answer: Don’t listen to the other comment it’s a scam. It’s 15 percent. Or 0.15
Step-by-step explanation:
√45+√80−6√5
Step-by-step explanation:
Exact Form:
√45+√80−6√5
Decimal Form:
7.29108201…7.29108201…
Answer:
x = 3.556 or
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
(3*x-5)^2-((x+x+25))=0
Evaluate:
=
Pull like factors:
9x^2 - 32x = x • (9x - 32)
x • (9x - 32) = 0
Remember roots of a product:
A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately. In other words, we are going to solve as many equations as there are terms in the product. Any solution of term = 0 solves product = 0 as well.
Solve : 9x - 32 = 0
Add 32 to both sides of the equation :
9x = 32
Divide both sides of the equation by 9:
x = 32/9 = 3.556