Transcription of L EQUATIONS IN O VARIABLE Linear Equations in One …
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L EQUATIONS IN O VARIABLE Linear Equations in One …
Linear EQUATIONS IN ONE VARIABLE IntroductionIn the earlier classes, you have come across several algebraic expressions and examples of expressions we have so far worked with are:5x, 2x 3, 3x + y, 2xy + 5, xyz + x + y + z, x2 + 1, y + y2 Some examples of EQUATIONS are: 5x = 25, 2x 3 = 9, 5372, 610222yz+=+= You would remember that EQUATIONS use the equality (=) sign; it is missing in these given expressions, many have more than one VARIABLE . For example, 2xy + 5has two variables. We however, restrict to expressions with only one VARIABLE when weform EQUATIONS . Moreover, the expressions we use to form EQUATIONS are Linear . This meansthat the highest power of the VARIABLE appearing in the expression is are Linear expressions:2x, 2x + 1, 3y 7, 12 5z, 5( 4) 104x+These are not Linear expressions:x2 + 1, y + y2, 1 + z + z2 + z3(since highest power of VARIABLE > 1)Here we will deal with EQUATIONS with Linear expressions in one VARIABLE only.
We can see that we can adopt dif ferent ways to find a solution for the problem. Example 10: The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers? Solution: Since the ratio of the two numbers is 2 : 5, we may take one number to be 2x and the other to be 5 x. (Note that 2 x : 5x is same ...
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