How do you find the solution of the system of equations #3x+4y=10# and #x-y=1#?
For such a simple system, you can use substitution:
Substitute back in the second equation to get
The key insight here is that for the second equation, we can easily solve for a variable in term of the other variable.
Let's just add
We can plug this value of
Combining like terms, we now have
Dividing both sides by
We can plug this value into the blue expression to get
Hope this helps!