Solve the simultaneous equations3a−b= −1,3a+8b= −19.

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

Step 1: Write down the equations:

3a - b = -1 ...(1)

3a + 8b = -19 ...(2)

Step 2: Subtract equation (1) from equation (2) to eliminate 'a':

(3a + 8b) - (3a - b) = -19 - (-1)

This simplifies to:

9b = -18

Step 3: Solve for 'b' by dividing both sides by 9:

b = -18 / 9

b = -2

Step 4: Substitute 'b' = -2 into equation (1) to find 'a':

3a - (-2) = -1

3a + 2 = -1

3a = -1 - 2

3a = -3

a = -3 / 3

a = -1

So, the solution to the simultaneous equations is a = -1 and b = -2.