Question

Based on the lesson, which of the following would be the best approach for solving this system by substitution?

5x = y + 6
2x - 3y = 4


Solve the first equation for x.
Solve the first equation for y.
Solve the second equation for x.
Solve the second equation for y.

Answer 1

They are all legitimate approaches and would result in solving the problem. However, the second approach would be the simplest.

Answer 2

It is simplest, simply because the y is easy to isolate.
y=5x-6

Answer 3

That can be substituted in the second equation like so:
2x -3(5x-6)=4
2x-15x + 18 = 4
-13x=-18+4
-13x = -14
x=14/13