‘x exceeds y by 7’ can be expressed as _________.
‘x exceeds y by 7’ can be expressed as x = y + 7.
Step-by-step explanation:
1) The word “exceeds” means “is more than”.
2) “by 7” tells us the extra amount is 7.
3) So, if (x) exceeds (y) by 7, it means: start from (y) and add 7 to reach (x).
Write it in maths:
(x) is (y) plus (7)
(Rightarrow x = y + 7)
You can also rearrange it (if you need (y)):
From (x = y + 7)
(Rightarrow y = x - 7)
Quick example: If (y = 5), then (x = 5 + 7 = 12). So the sentence “(x) exceeds (y) by 7” is correctly shown by (x = y + 7).
Common mistake to avoid: Don’t write (x = 7 - y). That would mean something completely different.