Solve the simultaneous equations14a+5b= −18,7a+3b= −8.

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

Step 1: Write down the equations

14a + 5b = -18 7a + 3b = -8

Step 2: Multiply the second equation by 2 to make the coefficients of 'a' in both equations the same. This gives us:

14a + 5b = -18 14a + 6b = -16

Step 3: Subtract the second equation from the first to eliminate 'a'. This gives us:

-1b = -2

Step 4: Solve for 'b' by dividing both sides by -1. This gives us:

b = 2

Step 5: Substitute b = 2 into the first equation:

14a + 5(2) = -18 14a + 10 = -18 14a = -28 a = -2

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