What is the same solution as the system shown

Question

-3x+y=k

2x+3y=L

how do I determine the answer please give answer

Answer 1

You won't get a numeric answers, but you can get them in terms of K and L. Just do everything as you normally would for a system of equations, leaving the K and L as variables. It'll get messy.

-3x+y=K

2x+3y=L

Multiply the first equation by -3 to enable elimination of the y term.

9x-3y=-3K

2x+3y=L add

11x=3K+L

x=(3K+L) / 11

Now you can substitute this for x in either equation and solve for y.

2x+3y=L

2[(3K+L) / 11] +3y = L

(6K+2L)/11 + 3y = L

3y = L - (6K+2L)/11

3y = (11L-6K+2L) / 11

3y = (13L-6K) / 11

y = (13L-6K) / 33