Question

Determine if the given set of equations has 1 solution, no solution or infinitely many solutions. Include your reasoning for your answer.

y−2x=2
4y−8x=8

Answer 1

y-2x=2 has one solution
because it simplifies to y=2x+2 which is one solution

4y-8x=8 has one solution
because it simplifies to y=2x+2 which is one solution

hope this helps

Answer 2

• Infinitely many solutions

Explanation:

Given system:

• y - 2x = 2
• 4y - 8x = 8

Divide both sides of the second equation:

• 4y/4 - 8x/4 = 8/4
• y - 2x = 2

We got both equations same.

It means the lines representing the equations overlap, the system has infinitely many solutions.