How do solve the following linear system?: -4x + 4 = -4y, 7x + 6y + 11 = 0 ?

1 Answer
Jul 15, 2016

The solution is (-5/13, 8/13)

Explanation:

This problem makes things fairly easy for you by providing a clear definition of y in the first equation:

-4x + 4 = -4y
x - 1 = y

We can plug this into the other equation to solve for x and then use it to find y:
7x + 6(x - 1) + 11 = 0
7x + 6x - 6 + 11 = 0
13x + 5 = 0
x = -5/13

Then:
-5/13 + 1 = y
y = 8/13

So the solution is (-5/13, 8/13)

A little additional info on the problem in concluding. In case it is not clear, the solution takes the form of a point, (x,y). This is because solving a system of equations is the same as finding the point(s) at which those lines (or curves) intersect.