2x + y = 6,   -2x + 3y = 5

Sure, these are a set of linear equations. Let's solve them step by step.

Step 1: The equations are:

2x + y = 6 ----(1)

-2x + 3y = 5 ----(2)

Step 2: Add equation (1) and equation (2). This will eliminate x.

2x - 2x + y + 3y = 6 + 5

This simplifies to:

4y = 11

Step 3: Solve for y by dividing both sides by 4.

y = 11/4 y = 2.75

Step 4: Substitute y = 2.75 into equation (1) to solve for x.

2x + 2.75 = 6

Subtract 2.75 from both sides:

2x = 6 - 2.75 2x = 3.25

Divide both sides by 2 to solve for x:

x = 3.25/2 x = 1.625

So, the solution to the system of equations is x = 1.625 and y = 2.75.