Question

What 2 numbers can be multiplied to get -4 but when added equals 3 ?

Answer 1

Answer:

4 and -1

Step-by-step explanation:

Solving for two variables can be done by setting up a system of equations.  In this case you have two numbers 'x' and 'y' when multiplied is -4:

x*y = -4

When the same two number are added together it's 3:

x + y = 3

Using the second equation to solve for 'x', you can then use that expression to substitute for 'x' in the first equation:

x = 3 - y

y(3 - y) = -4 or 3y - y² = -4 or y² - 3y = -4

Factor:  (y - 4)(y + 1)

Solve for y:  y = 4 or -1

If y = 4, then x = -1 or when y = -1, x = 4, so the two numbers are 4 and -1:

(4)(-1) = 4 and 4 + -1 = 3