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Find the solution of \[s\]in\[st + 3t = 6\].

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Last updated date: 26th Feb 2024
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IVSAT 2024
Answer
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Hint: Linear equations are the equations in which the variables are raised to the power equal to one. The best way to solve a linear equation in one variable is to rearrange the linear equation in such a way that we could write all the variable terms to the left hand side of the equation. The linear equations are classified into different types based on the number of variables in the equation. Linear equations are the equations in which the variables are raised to the power equal to one.

Complete step-by-step solution:
Linear equation is the equation with degree one. It does not have anything to do with the number of variables in the equation. A linear equation can have two, three or more variables in it as long as the degree of the equation is equal to one.
Linear equations graphically always represent a straight line. Linear equations in one variable give a line parallel to coordinate axes.
We can simply apply the algebraic techniques of balancing that is the Golden Rule of Algebra. Hence, we have
\[
  st = 6 - 3t \\
   \Rightarrow s = \dfrac{{6 - 3t}}{t} \\
   \Rightarrow s = 3 \\
\]
Hence the value of s is\[3\].

Note: Linear equations in one variable are the equation which consists of one variable. Linear equations in two variables are variables which have two variables. Standard method of linear equation eases the method of solving the equation. The linear equation in one variable is written in the form of\[ax + b = 0\]. The linear equation in two variables is written in the form of\[ax + by + c = 0\]. The linear equation in three variables is written in the form of\[ax + by + cz + d = 0\].