Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms? y=2x
2x+3y=16

A: 8x=16
B: 4x=16
C: 5y=16
D: 5x=16

Common ratio, exponential function, half-life that's all i have so

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.