Question

http://prntscr.com/99acwy

Answer 1

y = (2/3)x
y = -(2/3)x + 4

Step 1-substitute (2/3)x for y into the 2nd equation to find the value of x

(2/3)x = -(2/3)x +4

You want to move all X variables to 1 side

To do that, you add (2/3)x to both sides

(4/3)x = 4

You want to get x by itself by dividing both sides by (4/3)

x = 4/(4/3) = 4 x (3/4)

x = 3

Now that you have x, plug it into the first or second equation to find the value of y

y = (2/3) x 3

y = 2

Sum it all up...

x = 3
y = 2

Answer 2

(3,2)?

Answer 3

How do you know which to substitute

Answer 4

yep

Answer 5

You can substitute either way as long as you get a single variable in a equation.
You can't solve for 2 unknowns in a equation, but you can solve for a single unknown.
If you wanted to...you could figure out for x=in terms of y
But since y is already given in terms of x, i didn't feel like doing the extra calculation :P

Answer 6

x = y (3/2)
You could sub that in for x in the 2nd equation and get the same answer