Question

Johanna has to solve the system of equations using substitution. She isolates x in the second equation. Which should be her next step?

A) 3(10 - 5y) + 6y =12
B) 30 - 15y + 6y = 12
C) 30 - 9y = 18
D) -9y = 18

Answer 1

Answer: A) 3(10 - 5y) + 6y =12

Explanation:

As per the question , the given system of linear equation :

`3x+6y=12---(i)\\\\ x+5y=10---(ii)`

Here , To solve the system of equations using substitution , Johanna isolates x in the second equation and writes

`x=10-5y`

As per the substitution method , the next step is to substitute the isolated value of 'x' in first equation , thus the next step will become

`3(10-5y)+6y=12`

Hence, the correct option is A) 3(10 - 5y) + 6y =12