The graphs of two linear equations, x + 2y = 15 and 4x + 8y = 13 will be:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. parallel.
The given equations are: x + 2y = 15 and 4x + 8y = 13
We can observe that the second equation is a multiple of the first equation. Multiplying the first equation by 4, we get:
4x + 8y = 60
Comparing this with the second equation, we see that they are inconsistent (i.e., they have no common solution). Therefore, the graphs of the two equations will be parallel lines.