Question

write a system of equations with the solution (4, -3)

Answer 1

That's pretty easy. Just make up some equations with variables \(x,y\) that use that solution.

For example, say we needed a solution of (1,2):

Some randomly chosen equations might be

x + y = ???
3x + 4y = ???

Plug in x=1, y = 2 and figure out the values to replace the ???

1+2 = 3
3(1) + 4(2) = 11

so one system of equations with solution (1,2) is \[x+y = 3\]\[3x+4y=11\]