Question

Solve system of equations:
4x+12y=5
-x-3y=-2

Answer 1

Multiply the second equation by 4 and add it to the first. That will get rid of x and you can solve for y. Put the y value in the second equation and solve for x.

Answer 2

When I plug the second equation -4x-12y=-8

Answer 3

is that part right

Answer 4

Yes that part is correct.

Answer 5

cool

Answer 6

Okay, this is a trick question because the -4x - 12y = -8 that you got by multiplying the second equation by 4 can be rewritten as:

4x + 12y = 8 (by multiplying by -1)

Compare it to the first equation that says: 4x+12y = 5

How can the same 4x + 2y be 8 and also be 5.

That means there is no solution for this set of equations.

Answer 7

How did you come up with multiplying by -1? There has to be a answer because this a homework question.

Answer 8

Multiply the second equation by 4, add the top and bottom equations together. What do you get?

Answer 9

Okay. Let me start from the beginning.
4x+12y=5
-x-3y=-2

Multiply equation (2) by 4:
-4x - 12y = -8
Add it to the first equation:
4x+12y=5
-4x - 12y = -8
Add them:
0 + 0 = -3

Whenever you get answers like this it means there is NO value of x and y that can satisfy both equations at the same time.

Therefore, there is no solution for this problem. You can answer: There is no solution for x and y and your teacher will say that is the correct answer.

Answer 10

Austin L I got -4x-12y=-8

Answer 11

now add that to the top equation.

Answer 12

ok