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

Answer:

D

Step-by-step explanation:

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

$-\frac{4}{7}x+16=-\frac{2}{7}x+12\\16-12=-\frac{2}{7}x+\frac{4}{7}x\\4=\frac{2}{7}x\\x=\frac{4}{\frac{2}{7}}\\x=14$

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

$y=-\frac{4}{7}x+16\\y=-\frac{4}{7}(14)+16\\y=8$

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