Answer:
D
Step-by-step explanation:
We equate both the y's and solve for x algebraically:
[tex]-\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[/tex]
Now taking the value x= 14 and putting it in the 1st equation would give us y:
[tex]y=-\frac{4}{7}x+16\\y=-\frac{4}{7}(14)+16\\y=8[/tex]
Hence the solution is (14,8), answer is D
