140k views
2 votes
If the expression ax( 2x+y-5) simplifies to 6x^2 + 3xy-15x,what is the value of a

User Tom Cerul
by
8.4k points

1 Answer

6 votes

Answer:

a = 3

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

User Mattwarren
by
8.5k points