Answer:
x = -4 and y = -5
Explanation:
6x - 2y = -14
4x - 3y = -31
So first, you want to make one of the terms the same, so they can cancel out, in order to find x or way
In this case, we will make the y terms the same, in order to find the x terms
To do this, times the first equation by 3, which gives you:
18x - 6y = - 42
And times the second equation by 2, which gives you:
8x - 6y = - 62
Now, as we have the y terms, both alike, you can cancel them out
You are now left with the following two equations:
18x = -42
8x = -62
The next step is to add them, as the previous - and -, makes a +
This means you are left with one equation :
26x = -104
Now divide by 26 on each side to get:
x = -4
As you have x, you substitute it into one of the ORIGINAL equations.
6x - 2y = -14
Substitute x in:
6(-4) - 2y = -14
-24 - 2y = -14
Add 24 on each side to get:
-2y = 10
y = -5