For what value of the constant a does the system of equations below have infinitely many solutions?

a = 8

Step-by-step explanation:

For the 2 equations to have infinite solutions we require the solution to be in the form

0 = 0

Given

2x + 5y = - 8 → (1)

6x = 16 + a - 15y ( add 15y to both sides )

6x + 15y = 16 + a → (2)

Multiply (1) by - 3

- 6x - 15y = - 24 → (3)

Adding (2) and (3) term by term gives

0 + 0 = 16 + a - 24

For the right side to be zero , then

16 + a =  24 ( subtract 16 from both sides )

a = 8

42

step-by-step explanation: