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

Okay, so it says we have to use SUBSTITUTION. That means we have to solve for a variable in one of either equations. Which equation would be the easiest to work with and use in this case?

Answer 2

Here are our two equations:
5x = y + 6
2x - 3y = 4
As you can see now, that the first equation already has a variable set, y.
Now you should solve for y for the first equation.

Answer 3

The second approach would have to be the simplest, the reason why is because the y is easy to isolate.
y=5x-6

Answer 4

So pretty much that can be substituted in the second equation:
2x -3(5x-6)=4
2x-15x + 18 = 4
-13x=-18+4
-13x = -14
x=14/13

Answer 5

thank you:)

Answer 6

Welcome! :3