Question 63065
Solve the following systems by substitution.
5x - 2y = -5
y - 5x = 3


Answer:

5x - 2y = -5  -----------------(1)


y - 5x = 3    -----------------(2)


(2)==>  y - 5x = 3 
 

add  5x on both sides of the expression.


==>  y - 5x + 5x = 3 + 5x


==>  y =  3 + 5x



Now substitute this value of y in the first equation


==> 5x - 2(3 + 5x ) = -5
 


==> 5x - 6 - 10x  = -5



==>5x  - 10x - 6 = -5



==> -5x - 6 = -5



Add 6 on both sides of the expression,



==>-5x -6 + 6 = -5 + 6



==> -5x = 1



Divide both sides by -5




==> -5x/-5 = 1/-5



==>  x = -1/5



Now substitute the values of x in  y =  3 + 5x




==> y =  3 + 5(-1/5)



==> y = 3 + -1



==> y = 2



So the solution is  x = -1/5  and  y = 2



Hope you understood the problem.

Regards.

praseenakos@yahoo.co.in