Question

PLEASE HELP ME‼️

The solution to the system of equations is (2,-4). Find A and B

Ax + 2y = -2

5x - By = 26

A=? B=?

Answer 1

A = 3 , B = 4

Explanation:

given (2, - 4 ) is a solution , then x = 2 and y = - 4 make the system true

substitute x = 2 , y = - 4 into the equations and solve for A and B

2A + 2(- 4) = - 2

2A - 8 = - 2 ( add 8 to both sides )

2A = 6 ( divide both sides by 2 )

A = 3

and

5(2) - B(- 4) = 26

10 + 4B = 26 ( subtract 10 from both sides )

4B = 16 ( divide both sides by 4 )

B = 4