How do solve the following linear system?: # 7x+2y=2 , 6x+4y=-1 #?
There are several approaches to solving this linear system and it is up to you to decide which one you are more comfortable with. In this case, I would show how to solve this by elimination. Know that you also have the option to do the substitution method. Both the elimination and substitution methods are pretty straightforward so I suggest you use any of the two. Another approach would be the graphing method. However it consumes more time particularly because a certain amount of precision in graphing is necessary. Moreover, the process is more complicated especially when the solution to the problem involves fractions (which in this case, it does).
*I will label the equations with 1 and 2 so as to make it easier to explain the process
Multiply the whole Equation 1 by the constant 2.
Then retain Equation 2
Note that the coefficient of
Now that we know that
*Using Equation 1
*Using Equation 2
Note that whichever approach you use would lead you to the same final answer.