Find the solution of the system of equations{ 11x − 3y = 301−4x + 5y = −43

Sure, let's solve the system of equations step by step.

The system of equations is:

1. 11x - 3y = 301
2. -4x + 5y = -43

Step 1: Multiply the first equation by 5 and the second equation by 3 to make the coefficients of y the same in both equations. This will allow us to eliminate y by adding the two equations together.

So, we get:

1. 55x - 15y = 1505
2. -12x + 15y = -129

Step 2: Add the two equations together:

(55x - 15y) + (-12x + 15y) = 1505 + (-129)

This simplifies to:

43x = 1376

Step 3: Solve for x by dividing both sides of the equation by 43:

x = 1376 / 43

x = 32

Step 4: Substitute x = 32 into the first equation:

11x - 3y = 301 becomes 11*32 - 3y = 301

352 - 3y = 301

-3y = 301 - 352

-3y = -51

Step 5: Solve for y by dividing both sides of the equation by -3:

y = -51 / -3

y = 17

So, the solution to the system of equations is x = 32 and y = 17.