Find the solution of the system of equations{ x − 5y = −277x + 3y = 39

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

The system of equations is:

1. x - 5y = -27
2. 7x + 3y = 39

Step 1: Multiply the first equation by 3 and the second equation by 5 to make the coefficients of y the same in both equations. This gives us:

3x - 15y = -81 35x + 15y = 195

Step 2: Add the two equations together to eliminate y:

38x = 114

Step 3: Solve for x by dividing both sides by 38:

x = 114 / 38 = 3

Step 4: Substitute x = 3 into the first equation to solve for y:

3 - 5y = -27 -5y = -27 - 3 -5y = -30 y = -30 / -5 = 6

So, the solution to the system of equations is x = 3 and y = 6.