Solve the simultaneous equations14x+3y= 20,7x+2y= 11.

Sure, let's solve these simultaneous equations step by step.

Step 1: Write down the equations:

14x + 3y = 20 ----(1)

7x + 2y = 11 ----(2)

Step 2: To eliminate one of the variables, we can multiply the second equation by 2:

14x + 4y = 22 ----(3)

Now we have two new equations:

14x + 3y = 20 ----(1)

14x + 4y = 22 ----(3)

Step 3: Subtract equation (1) from equation (3) to eliminate x:

14x + 4y - (14x + 3y) = 22 - 20

This simplifies to:

y = 2

Step 4: Substitute y = 2 into equation (1):

14x + 3*2 = 20

14x + 6 = 20

14x = 20 - 6

14x = 14

x = 14/14

x = 1

So, the solution to the simultaneous equations is x = 1 and y = 2.