problem on equation solving

Topic:- equation solving


Equation solving is the problem of finding what values (numbers, functions, sets, etc.) fulfill a condition stated as an equality (an equation). Usually, this condition involves expressions with variables (or unknowns), which are to be substituted by values in order for the equality to hold. More precisely, an equation involves some free variables.

This math help will give you a example as well.

Question:-

Solve the following system:
x+y=11
3x-y=5

Answer:-

Given x+y=11
3x-y=5

Solve the first equation for y
(you could also solve for x).

y = 11- x
[Now, substitute 11-x for y in the second equation. This gives the equation on one variable.

3x -(11 - x) = 5
3x- 11 + x = 5

4x=16
Divide with 4 on both sides,we get

x=4
[Now, substitute 4 for x in
first equation to solve for y. (you can substitute 4 for x in either equation to solve for y)

4+y= 11

y=7

So the solution is the ordered pair,

( 4, 7).

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