2x - 3y = 16
5x - 3y = 13
solve the system of equations.
a) (-1, -6)
b) (-6, -1)
c) (1, -
14
3
)
d) (5, -2)
e

Step 1: Rewrite equations

2x - 3y = 16
5x - 3y = 13

Step 2: To be able to eliminate, multiply the second equation by -1

-1(5x - 3y = 13) —> -5x+3y=-13

Step 3: Use the elimination method to solve, using new equation

2x-3y=16
-5x+3y=-13

-3x=3

x=-1

Step 4: Using x, substitute it into an equation for y

2x - 3y = 16

2(-1) - 3y =16
-2 -3y =16
+2 +2

-3y=18

y=-6

Final A) (-1,-6)