Solve the system of linear equations using the method of your choice:2x – 3y = 54x + y = 11

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

Step 1: Write down the system of equations:

2x – 3y = 5 4x + y = 11

Step 2: Multiply the second equation by 3 to make the y-coefficients in both equations cancel each other out when added:

12x + 3y = 33

Now our system of equations looks like this:

2x - 3y = 5 12x + 3y = 33

Step 3: Add the two equations together:

(2x - 3y) + (12x + 3y) = 5 + 33 14x = 38

Step 4: Solve for x by dividing both sides by 14:

x = 38 / 14 x = 2.71 (rounded to two decimal places)

Step 5: Substitute x = 2.71 into the second equation of our original system to solve for y:

4x + y = 11 4(2.71) + y = 11 10.84 + y = 11 y = 11 - 10.84 y = 0.16 (rounded to two decimal places)

So, the solution to the system of equations is x = 2.71 and y = 0.16.