If x = 3 - 5a and y = 2a + 3, then for what value of a, x is equal to y?

Question: If x = 3 - 5a and y = 2a + 3, then for what value of a, x is equal to y?

Solution:
Given that,
x = 3 - 5a
y = 2a + 3

Now,
x = y
⇒ 3 - 5a = 2a + 3
⇒ 5a + 2a = 3 - 3
⇒ 7a = 0
∴ a = 0

∴ The value of a is 0