How do you solve this set of linear equations: #-8x + 4y = 15; 6x - 3y = - 13#?
no real solution
You want to pick and choose a variable to eliminate, x or y, it doesn't matter. However, for this problem it eliminates both variables no matter what you do and since there are no variables, there is no real solution.
Normally you would eliminate one variable, let's say x. Then you would add up the add up the two y-equations and solve for the y-value. Then, you would plug that y-value into either equation it doesn't matter, and get the x-value. You would then have the x-value and y-value.