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March 27th, 2019, 10:15 AM  #1 
Banned Camp Joined: Mar 2019 From: Mumbai Posts: 66 Thanks: 3  Simultaneous equations variant https://en.m.wikipedia.org/wiki/System_of_equations Can we have decimal points for the variables in Simultaneous equations? Example: 3.2x + 2.3y=5.1 4.1x  3.2y=7.2 Calculate the value of x & y. Thanks & Regards, Prashant S Akerkar 
March 27th, 2019, 11:14 AM  #2 
Member Joined: Oct 2018 From: USA Posts: 63 Thanks: 45 Math Focus: Algebraic Geometry 
You can use the substitution method in this case. Solving for $y$ in equation 1: $\displaystyle 2.3y = 5.13.2x$ $\displaystyle y = \frac{5.13.2x}{2.3}$ Now, since we know what $y$ is we can put it into equation 2 and solve for x: $\displaystyle 4.1x  3.2 \left( \frac{5.13.2x}{2.3} \right) = 7.2$ Once $x$ is solved, but that value into the equation for $y$ in terms of $x$ to get $y$ Last edited by Greens; March 27th, 2019 at 11:16 AM. 
March 27th, 2019, 01:16 PM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,580 Thanks: 1038  
March 27th, 2019, 01:50 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,746 Thanks: 2133  In theory, the constants used in the equations needn't be integers. If constants such as 3.2 are given, it's desirable that it's clarified whether they should be treated as exact values. The solutions may be quite sensitive to slight errors (such as rounding or truncation errors) in the values of the constants.


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decimal, equations, point, simultaneous, variant 
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