Explain how to solve the linear system using the elimination method.

2x - 3y = -4
7x + 9y = -5

EQUATION 1)    2x - 3y = -4
EQUATION 2)    7x + 9y =- 5

Multiply the whole first equation by 3 so that we could find the values of X first.

1)   3(2x - 3y = -4)

1)   6x-9y=-12
2)   7x+9y=-5

Add the 2 equations together.
13x=-17
x=-17/3  OR -5 2/3

2x-3y=-4

Plug the value of X into the equation.

2(-17/3) -3y=-4

-11 1/3 - 3y=-4

-3y=-4+11 1/3

-3y=22/3

y=-22/9 OR -2 4/9

~Hope I helped!~