Linear Equations With One Unknown - Tiger Algebra

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Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Linear equations with one unknown x=15=0.200 x=1/5=0.200 x=4 x=4

Other Ways to Solve

Linear equations with one unknown

Step by Step Solution

Step by step solution :

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors : 2x - 8 = 2 • (x - 4)

Equation at the end of step 2 :

2 • (x - 4) • (5x - 1) = 0

Step 3 :

Theory - Roots of a product :

3.1 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 separatelyIn other words, we are going to solve as many equations as there are terms in the productAny solution of term = 0 solves product = 0 as well.

Equations which are never true :

3.2 Solve : 2 = 0This equation has no solution. A a non-zero constant never equals zero.

Solving a Single Variable Equation :

3.3 Solve : x-4 = 0Add 4 to both sides of the equation : x = 4

Solving a Single Variable Equation :

3.4 Solve : 5x-1 = 0Add 1 to both sides of the equation : 5x = 1 Divide both sides of the equation by 5: x = 1/5 = 0.200

Two solutions were found :

  1. x = 1/5 = 0.200
  2. x = 4

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Terms and topics

  • Linear equations with one unknown

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