Final answer:
To solve the system of equations -3x + 2y = 34x + 3y = -4, we can use the method of elimination. By multiplying the first equation by 4 and the second equation by 3, we can eliminate the y variable when we subtract the two equations. The solution to the system of equations is x = -330/51 and y = 124/17.
Step-by-step explanation:
To solve the system of equations -3x + 2y = 34x + 3y = -4, we can use the method of elimination. By multiplying the first equation by 4 and the second equation by 3, we can eliminate the y variable when we subtract the two equations:
-12x + 8y = 136
12x + 9y = -12
Adding these two equations, we get 17y = 124. Dividing both sides by 17, we find that y = 124/17. Substituting this value back into one of the original equations, we can solve for x. Let's substitute it into the first equation:
-3x + 2(124/17) = 34
-3x + 248/17 = 34
-3x = 34 - 248/17
-3x = (34*17 - 248)/17
-3x = (578 - 248)/17
-3x = 330/17
x = (330/17)/-3
x = -330/51
So the solution to the system of equations is x = -330/51 and y = 124/17.