There are multiple ways to do this. I will show you the simplest.
First, we must make each equation equal y.
-3x +8y = 5
8y = 5 +3x
y = 5/8 +3x/8
6x -2y = 10
-2y = 10 -6x
y = -5 +3x
Now because both equations equal y, we can say they equal each other.
5/8 +3x/8 = -5 +3x
45/8 = 21x/8
45 = 21x
x ≈ 2.14
There are multiple ways to do this. I will show you the simplest.
First, we must make each equation equal y.
-3x +8y = 5
8y = 5 +3x
y = 5/8 +3x/8
6x -2y = 10
-2y = 10 -6x
y = -5 +3x
Now because both equations equal y, we can say they equal each other.
5/8 +3x/8 = -5 +3x
45/8 = 21x/8
45 = 21x
x ≈ 2.14