Mr. Brown is creating examples of systems of equations. He wants to have a system of equations with infinite solutions that includes the equation 5x + 2y = 8. Which equation could Mr. Brown use to complete the system so that it has infinite solutions?

2x + 5y = 8
15x + 6y = 21
1.25x +0.5y = 2
6.5x + 3.5y = 9.5

Question

Mr. Brown is creating examples of systems of equations. He wants to have a system of equations with infinite solutions that includes the equation 5x + 2y = 8. Which equation could Mr. Brown use to complete the system so that it has infinite solutions?

2x + 5y = 8
15x + 6y = 21
1.25x +0.5y = 2
6.5x + 3.5y = 9.5

welshfella · Answer

the correct equation would generate the same line on a graph
and  it would be a multiple of your equation 

for example

x + y = 2
and
2x + 2y = 4

would have infinite solutions

anonymous · Answer

Yeah I don't know how to solve this problem, its confusing mee lol

welshfella · Answer

Hint:  the equation could also be one where each coefficent of your equation is divided by the same number

welshfella · Answer

eg  x + y = 2
and
0.5x + 0.5y = 1

welshfella · Answer

- where every term is divided by 2

welshfella · Answer

Try dividing your equation by 4
what do you get?