Resuelva, con el método de sustitución, el siguiente sistema de ecuaciones:

Question

9x – 6y = 2
x = 4y +5

Answer 1

9x-6y=2

x=4y+5

 

 

9(4y+5)-6y=2      distributive property

 

36y + 45 -6y = 2      combine like terms

 

30y +45 = 2           take the 45 to the right

 

30y = 2-45          combine like terms

 

30 y = -43       divide by 30 both sides

 

y = -43/30

 

 

substitute the y value in the second equation 

 

x = 4(-43/30) +5         multiply 

 

x = -172/30 +5         add the fraction

 

x = -172+150/30 = -22/30     simplify

 

x = -11/15