Question

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)

Answer 1

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