Question

4a + 2b - 12ax + 15b = -40x - 52. What is a and b

Answer 1

a = 10/3 and b = -196/51.

Explanation:

4a + 2b - 12ax + 15b = -40x - 52

Equating coefficients of x:

-12ax = -40x

-12a = -40

a = 40/12

= 10/3.

Equating constants:

4a + 2b + 15b = -52

4a + 17b = -52

Substituting a = 10/3:

40/3 + 17b = -52

17b = -52 - 40/3

b = (-52 - 40/3) / 17

= (-156/ 3 - 40/3) / 17

= -196 / 51