Question

Solve for y.

2
y +2
-10
y + 8
There may be 1 or 2 solutions.
y =
or y =

Answer 1

The values of y are -9 and -1

To determine the values of the variable, we have the equation given as;

y² + 10y = -9

equate the expression to zero, we have;

y² + 10y + 9 = 0

Now, factorize the expression, we have;

y² + 9y + y + 9 = 0

group the expression in pairs, we get;

(y² + 9y) + (y + 9) = 0

factor the common terms, we have;

y(y + 9) + 1(y + 9) = 0

Now, the get that;

y + 9 = 0

make 'y' the subject of formula, we get;

y = -9

y +1 = 0

y = -9

Complete question:

Solve for y. y² + 10y = -9

There may be 1 or 2 solutions.

y = or y =