# How do you solve #12y-3x=-1# and #x-4y=1# using the substitution method?

##### 1 Answer

In order to solve this problem using the substitution method, we'll need to eliminate one of the variables, either

To do that, start by isolating

**Step 1**

Isolate

#x - 4y = 1#

#x=1 + 4y#

Now we know that once we find the value of

**Step 2**

Substitute the value of

#12y - 3x = -1#

#12y -3(1+4y)= -1#

Then, simplify it:

#12y -3(1+4y)= -1#

#12y - (3 + 12y) = -1#

#12y -3 - 12y = -1#

However,

Since