Simultaneous equations variant

Oct 2018
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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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Denis

Math Team
Oct 2011
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skipjack

Forum Staff
Dec 2006
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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.