What is the intersection of

Question

-3x-2y=7 and -2x-(-3y)=-4? please help me!!?

Answer 1

The system of equations are - 3x - 2y = 7 and - 2x -(- 3y) = - 4

Multiple to each side of first equation by negative one. 

3x + 2y = - 7 ---> (1)

Simplify the second equation : - 2x + 3y = - 4 ---> (2)

Solve the equations (1) & (2).

Multiple to each side of  equation (1) by 2.

6x + 4y = - 14 ---> (3)

Multiple to each side of  equation (2) by 3.

- 6x + 9y = - 12 ---> (4)

Add the equations (1) & (2).

(6x + 4y) +( - 6x + 9y)  = - 14 - 12

13y = - 26

y = - 2

Substitute y = -2 in equation (1).

3x + 2( -2) = - 7

3x - 4 = - 7

3x = -3

x = -1

Intersection point (x, y) = (-1, - 2).