how do you find a common solution for these equations

Question

X= -5y.       X+y=8 

Answer 1

Hello, again, Stephanie

 

Same type of question as before.  I am going to use substitution to solve for this system of linear equations.  I am going to substitute -5y for x on the second equation.  This is what we have

 

x+y= 8

(-5y)+y=8         Substituting

-4y= 8               Combining like terms

  y=-2                Dividing both sides by -4.

 

To find the value of x, plug -2 for y, into either of the original equations.  Let's use x=-5y.  x=-5(-2)= 10.  So, the answer to this system is (10,-2). 

 

Thanks for posting... and don't forget to rate my answer.

 

D. Y. Taylor