Answer:
5x - 2y = x + 14 Given
5x = x + 14 + 2y Addition property
4x - 14 = 2y Subtraction property
2x - 7 = y Division property
y = 2x - 7 Symmetric property
Step-by-step explanation:
The give expression is
5x - 2y = x + 14
To solve for y, let's use the addition and subtraction propertu of equality as follows
5x - 2y + 2y = x + 14 + 2y
5x = x + 14 + 2y
5x - x - 14 = x + 14 + 2y - x - 14
4x - 14 = 2y
Then, dividing both sides by 2 (division property), we get
4x/2 - 14/2 = 2y/2
2x - 7 = y
Therefore, y = 2x - 7 by the symmetric property.
So, the answer is:
Statement Reason
5x - 2y = x + 14 Given
5x = x + 14 + 2y Addition property
4x - 14 = 2y Subtraction property
2x - 7 = y Division property
y = 2x - 7 Symmetric property