Solve the simultaneous equations3a−7b= 17,2a−3b= 8.

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

Step 1: Write down the equations

3a - 7b = 17 2a - 3b = 8

Step 2: Multiply the equations by necessary multiples such that the coefficients of b's in both equations will cancel each other out when subtracted.

Let's multiply the first equation by 3 and the second equation by 7:

9a - 21b = 51 14a - 21b = 56

Step 3: Subtract the second equation from the first:

(9a - 14a) - (21b - 21b) = 51 - 56 -5a = -5

Step 4: Solve for a:

a = -5 / -5 a = 1

Step 5: Substitute a = 1 into the second equation:

2(1) - 3b = 8 2 - 3b = 8 -3b = 8 - 2 -3b = 6 b = 6 / -3 b = -2

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