Linear Equations (Types and Solved Examples) - …
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1. Conditional Equation: 1. Conditional Equation: Conditional equation has only one solution. For example,2. Identity Equation: 2. Identity Equation: An identity equation is always true and every real number is a
solution of it, therefore, it has infinite solutions. The solution of a linear
equation which has identity is usually expressed as Sometimes, left hand side is equal
to the right hand side (probably we obtain 0=0), therefore, we can easily find
out that this equation is an identity. For example,3. Contradiction Equation: 3. Contradiction Equation: A
Contradiction equation is always false and has no solution. Contradiction
equation is mostly expressed as: For example, Linear Equations represent lines An equation represents a line on a graph and we have
required two points to draw a line through those points. On a graph, ‘x’ and ‘y’ variables show the ‘x’ and ‘y’ coordinates
of a graph. If we put a value for ‘x’ then we can easily calculate the
corresponding value of ‘y’ and those two values will show a point on a graph.
Similarly, if we keep putting the value of ‘x’ and ‘y’ in the given linear
equation, we can obtain a straight line on the graph. Graphical representation of Linear Equation We can put the values of ‘x’ and ‘y’ into the equation in order to graph a linear equation. We can use the “intercept” points. Few below mentioned points must be follow: Put x = 0 into the equation and solve for y and plot the point (0,y) on the y-axisPut y = 0 into the equation and solve for x and plot the point (x,0) on the x-axisFinally, draw a straight line between the two points Check
your skills to find the solutions of these linear equations: See Also :
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