Let assume that is a rational number. Therefore it can be expressed as a fraction where and .
This means that is divisible by 7, and therefore also is divisible by 7.
So, where
Analogically to ------- is divisible by 7 and therefore so is .
But if both numbers and are divisible by 7, then which contradicts our earlier assumption that .
Therefore is an irrational number.
Step-by-step explanation:
-10x + 4 = -7x - 14 - 7x - 14
-10x + 4 = -14x - 28
4x = -32
x = -8.