Determine whether the given problem is an equation or an expression. If it is an

glasskerfu

glasskerfu

Answered question

2021-10-01

Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. 3a14+a23a15=2120

Answer & Explanation

unett

unett

Skilled2021-10-02Added 119 answers

Step 1
We have to determine the given problem is an equation or an expression, if it is an equation then we have to simplify and if it is an expression then we have to simplify where expression is:
(3a1)4+(a2)3(a1)5=2120
We know that expression can be any number, variables or a combination of variables and number connected through mathematical operations.
Example:
x,y,3x2+19,17, ...
An equation can be made up of two expressions and these two expressions and these two expressions connected through equal sign.
Example:
x2=3x+4,ax2+bx+c=0, ...
So given problem has two expressions and connected through equal sign.
Hence, given problem is an equation.
Step 2
Now solving the equation:
Taking LCM of the denominator as 60 in LHS side, we get
(3a1)4+(a2)3(a1)5=2120
15(3a1)+20(a2)12(a1)60=2120
45a15+20a4012a+1260=2120
45a+20a12a1540+1260=2120
53a4360=2120
20(53a43)=60×21
53a43=21×6020
53a43=21×3
53a=63+43
53a=106
a=10653
=2
Hence, solution of the equation is a=2.

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