Example for solving Simultaneous equations

Here is an algebra question on Simultaneous equations are representations of multi-variant sets of relationships (functions) and one of the advantages of linear programming.

Topic : Simultaneous equations

There are  also simultaneous inequations like simultaneous equations where the unknown value of variables are calculated.

Problem : Solve y = x + 2 and 3x + 2y = 9

Solution :

y = x + 2 ------- (equation 1)
3x + 2y = 9 ------ (equation 2)
we have to solve this by substitution method
Lets substitute the value of y from equation 1 in equation 2

equation 2 is
3x + 2y = 9
now put y = x + 2 in this equation

3x + 2(x + 2) = 9
3x + 2x + 4 = 9
5x = 9 - 4
5x = 5
x = 5/5
x = 1

Now on substituting the value of x in equation 1 gives,
y = x + 2
y = 1 + 2
y = 3

So now x = 1 and y = 3
(1,3) is the answer

For more simultaneous problems to practice contact algebra help.

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Tags: algebra help, algebra question, inequations, linear equations, simultaneous equations