Transcription of Unit-4 Linear Equation in one variable
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Unit-4 Linear Equation in one variable
An algebraic Equation is an equality involving variables. It has anequality sign. The expression on the left of the equality sign is theLeft Hand Side (LHS) and the expression on the right of the equalitysign is the Right Hand Side (RHS). In an Equation the values of the expressions on the LHS and RHSare equal for certain values of the variables. These values are thesolutions of the Equation . Equations where the expressions which form the Equation containonly one variable and the highest power of the variable appearingin the Equation is 1, are called Linear equations in one variable . A Linear Equation may have Linear expressions on both sides of theequality sign. To find the solution of an Equation we perform the samemathematical operations on both sides of the Equation , so that thebalance between the LHS and RHS is not disturbed. A Linear Equation may have any rational number as its solution. In an Equation , variables can be transposed from one side of theequation to the In examples 1 and 2, there are four options given out of which one iscorrect.
A one-step equation is one that can be solved in one step by either adding, subtracting, multiplying or dividing by one thing. There are four main methods. For example: (i) a + 3 = 4.2 — solve by subtracting 3 from both sides to get a = 1.2 (ii) s – 7 = 12 — solve by adding 7 to both sides to get s = 19
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