Answer:
(-39/148, -33/37)
Step-by-step explanation:
Let's choose the second equation, 12x + 3 = y, for our substitution. Substitute (12x + 3) for y in the first equation, obtaining:
8x - 13y = 0 => 8x - 13(12x + 3) = 0
Next, multiply out -13(12x + 3): From the above equation we get
8x - 156x - 39 = 0
and this simplifies to -148x = 39 or x = -39/148.
Substitute -39/148 for x in 8x - 13y = 0. We get:
8(-39/148) + 3 = y, so that y = -33/37.
The solution of this system of linear equations is (-39/148, -33/37).
