Determine which point is the solution to the given system. y = -4/7x + 16 y = -2/7x + 12 A. (16, 1) B. (21, 4) C. (7, 12) D. (14, 8)

Question

asked Oct 1, 2020 98.2k views

1 Answer

Srihari Humbarwadi · Answer 1 · 2020-10-08T02:08:07+0000

Answer:

D

Explanation:

We equate both the y's and solve for x algebraically:

$-(4)/(7)x+16=-(2)/(7)x+12\\16-12=-(2)/(7)x+(4)/(7)x\\4=(2)/(7)x\\x=(4)/((2)/(7))\\x=14$

Now taking the value x= 14 and putting it in the 1st equation would give us y:

$y=-(4)/(7)x+16\\y=-(4)/(7)(14)+16\\y=8$

Hence the solution is (14,8), answer is D