Question

What is the solution of the system? use the substitution method. {y−2x=816 4x=2y the only solution is (24, 0) . the only solution is (1, 10) . there is no solution. there are an infinite number of solutions.?

Answer 1

The Correct Answer is the last option, there are an infinite number of solutions.

Explanation:

This is the correct answer if the equation is actually,

y-2x=8

16+4x=2y

Also I took the quiz and the answer I got was 'there are an infinite number of solutions'.

I hope this helps.

Answer 2

To determine the answer it would be helpful if we write this equation into the slope intercept form which is expressed as:

y = mx+b

y−2x=816
y = 2x + 816

4x=2y
y = 2x

We can see that the slope of the two equations are the same. Therefore, they are parallel which means they do not intersect. The correct answer is the third option, there is no solution.