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yaroslaw [1]
3 years ago
14

Can someone help me with this i am confused

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0
Plot each point on a graph , then count how many you need to go up and then over in this case it is 8 over 1 then calculate the y int so y= 8x -25
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Explain, in your own words, the steps necessary to solve a system of equations
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<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.

<h2>_______________________</h2>

<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 \sf \dfrac{2a}{3}  + 4 = 10 means to find the value of a ⠀⠀⠀⠀⠀⠀and so on!

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ <u>Rules for solving an equation by the substitution method:-</u>

Rule ❶ 

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

Rule ❷

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.⠀⠀

5 0
3 years ago
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