Solve the system of equations minus, 2, x, minus, y, equals, minus, 5−2x−y=−5 and 3, x, minus, 4, y, equals, minus, 423x−4y=−42 by combining the equations.

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

The system of equations is:

-2x - y = -5 3x - 4y = -42

Step 1: Multiply the first equation by 4 and the second equation by 1 to make the coefficients of y the same in both equations. This gives us:

-8x - 4y = -20 3x - 4y = -42

Step 2: Subtract the second equation from the first to eliminate y. This gives us:

-8x - 3x = -20 - (-42) -11x = 22

Step 3: Divide both sides by -11 to solve for x. This gives us:

x = -2

Step 4: Substitute x = -2 into the first equation to solve for y. This gives us:

-2(-2) - y = -5 4 - y = -5 y = 4 + 5 y = 9

So, the solution to the system of equations is x = -2, y = 9.