Question

Solve the following system of equations.
3x - 2y = 6
6x - 4y = 12

(0, 0)

(6, 12)

Infinitely Many Solutions

No Solutions

Answer 1

See, if you multiply 2 with first equation, then you will get second equation or not??

Answer 2

@Nurali No Solution??

Answer 3

When we get the same equation for both the lines, then they are overlapping lines..

So they must have Infinitely Many Solutions... this is what I think..

Answer 4

3x - 2y = 6---------(1)
6x - 4y = 12--------(2)

multiply equation 1 by '2' and subtract 1 and 2.
2[3x-2y=6]
6x-4y=12

6x-4y=12
6x-4y=12
0=0

This is a special case. Notice that if you multiply the first equation by 2 on both side, you get the second equation. Both equations are a line, with the same slope and intercept. The two lines are on top of each other. So there are an infinite number of solutions.

Answer 5

OH so its {0,0} right?

Answer 6

no Infinitely Many Solutions