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March 27th, 2019, 10:15 AM   #1
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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.

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Prashant S Akerkar
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March 27th, 2019, 11:14 AM   #2
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You can use the substitution method in this case. Solving for $y$ in equation 1:

$\displaystyle 2.3y = 5.1-3.2x$

$\displaystyle y = \frac{5.1-3.2x}{2.3}$

Now, since we know what $y$ is we can put it into equation 2 and solve for x:

$\displaystyle 4.1x - 3.2 \left( \frac{5.1-3.2x}{2.3} \right) = 7.2$

Once $x$ is solved, but that value into the equation for $y$ in terms of $x$ to get $y$
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Last edited by Greens; March 27th, 2019 at 11:16 AM.
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March 27th, 2019, 01:16 PM   #3
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Originally Posted by prashantak View Post
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Can we have decimal points for the variables in Simultaneous equations?
YESSSSS!!
Who are you anyway...a math student?
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March 27th, 2019, 01:50 PM   #4
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Quote:
Originally Posted by prashantak View Post
Can we have decimal points for the variables in Simultaneous equations?
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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