Question

What is the solution of the following system? Use the substitution method.

y – 2x = 8
16 + 4x = 2y

O The only solution is (24, 0).
O The only solution is (1, 10).
○There is no solution.
O There are an infinite number of solutions.​

Answer 1

y-2x=8 (label equation 1)

16+4x=2y (label equation 2)

divide equation 2 by 2 to find y

y=2x+8

sub this in equation 1

(2x+8)-2x=8

2x+8-2x=8

8=8

once you get to this point because 8=8 there are an infinite number of solutions because you can't divide by 0. So the answer is B