What value of z would make the expressions 4x-5y and (3y+2x)-z(4y-x) equivalent
To find the value of z that would make the expressions equivalent, we need to set the two expressions equal to each other and solve for z.
So, we have:
4x - 5y = (3y + 2x) - z(4y - x)
Simplify the expression on the right by distributing z:
4x - 5y = 3y + 2x - 4zy + zx
Rearrange the equation to isolate z terms on one side:
4x - 2x - 3y - 5y = zx - 4zy
Combine like terms:
2x - 8y = z(x - 4y)
Divide both sides of the equation by (x - 4y):
(2x - 8y) / (x - 4y) = z
Therefore, the value of z that would make the expressions equivalent is (2x - 8y) / (x - 4y).