SOLUTION: Solve the system of equations by substitution. 6x − y = −5 6x + y = −7

Algebra ->  Finite-and-infinite-sets -> SOLUTION: Solve the system of equations by substitution. 6x − y = −5 6x + y = −7       Log On


   



Question 1126684: Solve the system of equations by substitution.
6x − y = −5
6x + y = −7

Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.
6x - y = -5      (1)
6x + y = -7      (2)


From eq(2),  express  y = -7 - 6x  and substitute it into equation (1). You will get


6x - (-7-6x) = -5,


6x + 6x + 7 = -5

12x = -5 - 7 = -12  ====>  x = -12%2F12 = -1.


Now substitute this value of x into eq(2) to get


{{6*(-1) + y}}} = -7,    or

-6 + y = -7

y = -7 + 6 = -1.


Answer.  The solution is  x= -1;  y= -1.


    Check the solution on your own by substituting the found values into the original equations.

    Do it on your own (I just did it mentally).

Solved.

-------------

See the lesson
    - Solution of the linear system of two equations in two unknowns by the Substitution method
in this site.