To find the value of z that would make the expressions equivalent, we need to equate the two expressions and solve for z.
Setting the expressions equal to each other:
4z - 5y = (3y + 2x) - z(4y - x)
Expanding the expressions:
4z - 5y = 3y + 2x - 4zy + xz
Rearranging the terms:
4z + 4zy - xz = 3y + 2x + 5y
Combining like terms:
z(4 + 4y - x) = 8y + 2x
Dividing both sides by (4 + 4y - x):
z = (8y + 2x) / (4 + 4y - x)
Therefore, the value of z that would make the expressions equivalent is (8y + 2x) / (4 + 4y - x).
what value of z would make the expressions 4z-5y and (3y+2x)-z(4y-x) equivalent
1 answer