What is the solution of the system of x minus negative y equals negative 6 and 6 x minus 3 y equals negative 9?

Answer 1

The first equation is : x - -y -6

which can be simplified to: x + y = 6

the second equation is: 6x - 3y = -9

Using the method of substitution we change the first equation to say x =

x = 6 - y

Next we substitute our known x value from above into the second equation

6x - 3y = -9

6 (6 - y) - 3y = -9

-Distribute through parenthesis-

36 - 6y - 3y = -9

-Simplify the y's-

36 - 9y = -9

-9y = -45

y = 5

Once you know y substitute it back into any of the equations to solve - your choice. For simplicity I use the one that looks the easiest:

x + y = 6

x + (5) = 6

x = 1

So the final solution is (x,y) = (1,5)