Solve the simultaneous equations2a−5b= −3,3a−4b= 13.

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

1. First, let's multiply the first equation by 3 and the second equation by 2 to make the coefficients of a the same in both equations. This gives us:

   6a - 15b = -9 6a - 8b = 26

2. Now, subtract the second equation from the first to eliminate a:

   (6a - 15b) - (6a - 8b) = -9 - 26 This simplifies to: 7b = -17

3. Divide by 7 to solve for b: b = -17/7 b = -2.43 (rounded to two decimal places)

4. Substitute b = -2.43 into the first original equation to solve for a: 2a - 5(-2.43) = -3 2a + 12.15 = -3 2a = -3 - 12.15 2a = -15.15 a = -15.15 / 2 a = -7.575 (rounded to three decimal places)

So, the solution to the simultaneous equations is a = -7.575 and b = -2.43.