2x=3y+9 6x=-5y+13 Solve by elimination

1. Multiply the first equation by 3:

3(2x) = 3(3y) + 3(9)

6x = 9y + 27

2. Subtract the second equation from the new first equation:

6x - 6x = 9y + 27 - (-5y + 13)

9y + 27 + 5y - 13 = 0

Combine like terms:

14y + 14 = 0

14y = -14

Solve for \( y \):

y = -1

Substitute \( y = -1 \) back into the first original equation:

2x = 3(-1) + 9

2x = -3 + 9

2x = 6

11. Solve for \( x \):

x = \frac{6}{2}

x = 3

Correct Answer:

x = 3

y = -1