Find the solution of the equation rounded to two decimals. 3.16(x+4.63)=4.19(x-7.24)

he298c 2020-11-30 Answered
Find the solution of the equation rounded to two decimals. $3.16\left(x+4.63\right)=4.19\left(x-7.24\right)$
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Expert Answer

averes8
Answered 2020-12-01 Author has 92 answers
Calculation: Simplify the given equation as, $3.16\left(x+4.63\right)=4.19\left(x-7.24\right)$
$3.16x+14.6308=4.19x-30.3356$ Now, subtract 14.6308 on both sides of the above equation as, $3.16x+14.6308-14.6308=4.19x-30.3356-14.6308$
$3.16x=4.19x-44.9664$ Now, subtract 4.19x on both sides of the above equation as, $3.16x-4.19x=4.19x-44.9664-4.19x$
$-1.03x=-44.9664$ Now divide by -1.03 on both sides of the above equation as, $\frac{-1.03x}{-1.03}=\frac{-44.9664}{-1.03}$
$x=\frac{44.9664}{1.03}$ Simplify the expression to two decimal places by use of calculator to obtain the value of x. $x=\frac{44.9664}{1.03}$
$x=43.65669$
$x\approx 43.66$ Therefore, the two decimal approximated solution of the given equation is $x=43.66$ Answer: The solution of the equation $3.16\left(x+4.63\right)=4.19\left(x-7.24\right)$ for value of x rounded off to two decimals is 43.66.
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