Algebra-1

To solve the given system of equations using the elimination method, we can subtract the first equation from the second equation to eliminate the variable "x". Let's perform the subtraction:

(-x + 9y) - (-x - 7y) = -23 - 9

Simplifying the equation, we have:

-x + x + 9y - (-7y) = -23 - 9

The x terms cancel out (-x + x = 0), and the y terms combine:

9y + 7y = -32

Combining like terms, we have:

16y = -32

To solve for y, we divide both sides of the equation by 16:

16y / 16 = -32 / 16

y = -2