Answer:
x = -2.75 and y = 1.5.
Explanation:
To solve the system of equations 4x - 2y = -2 and -3x + 5y = -9, we can use the elimination method. This method involves adding or subtracting the equations in a way that eliminates one of the variables, leaving us with an equation in terms of the remaining variable.
First, we can add the equations together to eliminate the y variable:
(4x - 2y) + (-3x + 5y) = (-2) + (-9)
Combining like terms on the left side of the equation gives us:
x + 3y = -11
Next, we can solve for x by dividing both sides of the equation by 4 to get:
x = (-11) / 4 = -2.75
Once we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation, -3x + 5y = -9, and substitute -2.75 for x:
-3(-2.75) + 5y = -9
Solving for y, we get:
y = (-9 - (-8.25)) / 5 = 1.5
Therefore, the solution to the system of equations 4x - 2y = -2 and -3x + 5y = -9 is x = -2.75 and y = 1.5.