Solve the system:   3x – 2y = 10,  5x + 3y = 23Question 33Select one:a.(0, -5)b.(4, 1)c.This system is dependentd.No solutione.None of these

To solve the system of equations:

3x – 2y = 10 5x + 3y = 23

We can use the method of substitution or elimination. Here, I'll use the elimination method.

First, we can multiply the first equation by 3 and the second equation by 2 to make the coefficients of y the same in both equations:

9x - 6y = 30 10x + 6y = 46

Now, we can add these two equations together:

(9x - 6y) + (10x + 6y) = 30 + 46 19x = 76

To solve for x, we divide both sides by 19:

x = 76 / 19 x = 4

Now that we have x, we can substitute it into the first equation to solve for y:

3x - 2y = 10 3(4) - 2y = 10 12 - 2y = 10 -2y = 10 - 12 -2y = -2

To solve for y, we divide both sides by -2:

y = -2 / -2 y = 1

So, the solution to the system of equations is (4, 1). Therefore, the correct answer is b. (4, 1).