xy = 30
x + y = -10
x = -y - 10
(-y-10)(y) = 30
-y^2 - 10y = 30
y^2 + 10y + 30 = 0
quadratic formula
y = (-10 +- sqrt(100 - 4(1)(30)))/2(1)
y = (-10 +- sqrt(100 - 120))/2
y = (-10 +- sqrt(-20))/2
Can't take the square root of a negative number.
No solution.
Answer: There are no numbers that, when multiplied, equal 30, but when added equal -10.
.
Note: There sort of are two numbers that work, but it's a thing called 'complex math' that you won't encounter in Algebra 1. For an Algebra 1 class/student, the answer is 'no solution.'