2x - 3y = 16

5x - 3y = 13

Solve the system of equations.

A (-1, -6)
B (5,4)
C (1,-14/3)
D (-6, -1)
E (5, -2)

1 answer

One way to solve the system of equations is by elimination. First, we can multiply the first equation by 5 and the second equation by 2 to make the coefficients of x the same:

10x - 15y = 80
10x - 6y = 26

Then, we can subtract the second equation from the first to eliminate x:

-9y = 54

Solving for y, we get:

y = -6

Substituting y=-6 into either of the original equations, we can solve for x:

2x - 3(-6) = 16
2x + 18 = 16
2x = -2
x = -1

Therefore, the solution is (-1, -6) which corresponds to answer choice A.