solve

Question

2x − 3y = −19
4x + 5y = 17

Answer 1

Using the elimination method, we can multiply the first equation by 4 and the second equation by 3 to get:

8x - 12y = -76
12x + 15y = 51

Then, we can add the two equations to eliminate y:

20x = -25

Dividing both sides by 20, we get:

x = -5/4

Substituting this value of x into the first equation, we can solve for y:

2(-5/4) - 3y = -19

Simplifying, we get:

-5 - 3y = -19

Adding 5 to both sides, we get:

-3y = -14

Dividing both sides by -3, we get:

y = 14/3

Therefore, the solution to the system of equations is (x, y) = (-5/4, 14/3).