If the expression ax (2x+y-5) simplifies to 6x^2 + 3xy-15x, what is the value of a

a = 3

Step-by-step explanation:

Expand the given expression and compare like terms on both sides

Given

ax (2x + y - 5) = 6x² + 3xy - 15x ← distribute left side

2ax² + axy - 5ax = 6x² + 3xy - 15x

Compare coefficients of the x - terms, that is

- 5a = - 15 (divide both sides by - 5)

a = 3