The value of [tex]a[/tex] in the equation [tex]3a[/tex] plus [tex]b[/tex] eqauls 54 when [tex]b[/tex] equals 9 is (A) 15.
What is Linear Equation with two variables?
Linear equation with two variables is an algebraic equation consists of two varibales with highest of power 1 and mathematical quantities.
Here given relation is [tex]3a[/tex] plus [tex]b[/tex] equals 54.
So translating the above relation into algebraic equation we get,
[tex]3a+b=54[/tex]
When [tex]b=9[/tex] the equation becomes,
[tex]3a+9=54[/tex]
[tex]\Rightarrow3a=54-9[/tex], subtracting 9 from both sides
[tex]\Rightarrow3a=45[/tex]
[tex]\Rightarrow a=\frac{45}{3}[/tex], on dividing both sides by [tex]3[/tex]
[tex]\therefore a=15[/tex]
Hence the value of [tex]a[/tex] when [tex]b=9[/tex] is [tex]15[/tex].
So the correct choice is (A).
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