Question

The point (-4, 6) is a solution to which system?

Answer 1

I don't have the systems to choose from — could you paste the options?

In general, to check whether (-4, 6) is a solution to a system, substitute x = -4 and y = 6 into each equation and see if both are true.

Example (illustration): the point (-4, 6) satisfies
- y = -2x − 2 because −2(−4) − 2 = 8 − 2 = 6, and
- 3x + y = −6 because 3(−4) + 6 = −12 + 6 = −6.

So (-4, 6) is a solution of the system
{ y = −2x − 2
{ 3x + y = −6

There are infinitely many such systems — give me the specific systems you have and I’ll check which one(s) (-4, 6) satisfies.