How do you solve the system of equations #3x + y = 16# and #2x + y = 11#?
2 Answers
Explanation:
Solving simultaneously :
Multiply
Add
*Substitute the value of
Explanation:
The methods shown by other contributors are the elimination method and the graphical method.
Another option is the method of equating variables.
This is particularly useful for finding the point of intersection of two straight lines algebraically.
In the two equations, notice that they have the SAME y-TERM
Make
We know that the value of
There are now 2 equations to use to find
Substitute
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Another option:
Often we forget how useful it is to just look at equations first and we set off doing calculations instead of thinking first.
In
the left hand sides only differ by
the right hand sides differ by 5.
If you know the value of