Question

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Answer 1

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Simplify the following equation -

$\longmapsto\:\sf\frac{x\:+\:1}{2x\:+\:3}\:=\:\frac{3}{8}$

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$\longmapsto\:\sf\dfrac{x\:+\:1}{2x\:+\:3}\:=\:\dfrac{3}{8}$

$\longmapsto\:\sf\:8\:\times\:(x\:+\:1)\:=\:3\:\times\:(2x\:+\:3)$

$\longmapsto\:\sf\:8x\:+\:8\:=\:6x\:+\:9$

$\longmapsto\:\sf\:8x\:-\:6x\:=\:9\:-\:8$

$\longmapsto\:\sf\:2x\:=\:1$

$\longmapsto\:\sf\:x\:=\:\frac{1}{2}$

$\huge{\boxed{\purple{\longmapsto\:\sf\:x\:=\:\frac{1}{2}}}}$

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What is an linear equation ?

A linear equation is a mathematical statement that has both sides equal that is LHS is equal to RHS and gives a straight line when plotted in a graph .

What are the components of an equation ?

An equation has two components constant and variable .

Constants are numbers that have a fixed value . Variables are the terms whose value is unknown .

Tell something briefly about solutions of an equation .

When the number of equations is the same as the number of variables there is likely to be a solution for that . Well not guaranteed in all cases .When an equation has no solution it is called inconsistent .When an equation has a solution it is called consistent .When each equation gives new information it is called independent equation whereas generally there are dependent equations .