# How do you find the solution of the system of equations #3x+4y=10# and #x-y=1#?

##### 2 Answers

#### Explanation:

For such a simple system, you can use substitution:

Substitute back in the second equation to get

#### Explanation:

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

Distributing the

Combining like terms, we now have

Subtracting

Dividing both sides by

We can plug this value into the blue expression to get

Hope this helps!