SOLUTION: . Solve the following system by substitution. 5x – 2y = -5 y – 5x = 3

Algebra ->  Linear-equations -> SOLUTION: . Solve the following system by substitution. 5x – 2y = -5 y – 5x = 3       Log On


   

Question 36732: . Solve the following system by substitution.
5x – 2y = -5
y – 5x = 3
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+5x+-+2y+=+-5+
+y+-+5x+=+3+
Solve the second equation for y
+y+=+5x+%2B+3+
Substitute this into the first equation
+5x+-+2y+=+-5+
+5x+-+2%285x+%2B+3%29+=+-5+
Distribute
+5x+-+10x+-6+=+-5+
combine x values
+-5x+-6+=+-5+
add 6 to both sides
+-5x+=+1+
divide both sides by -5
+x+=+-1%2F5+
Plug this back into the second equation
+y+-+5%28-1%2F5%29+=+3+
Solve for y
+y+%2B+1+=+3+
+y+=+2+
the point where the two lines cross is the ordered pair (-1/5 , 2 )