Answer:
y = -1/4
Step-by-step explanation:
y/5 +3/10 = (y+2)/7
The LCD is 10·7 = 70. Multiplying the equation by 70 gives ...
14y +21 = 10(y +2)
14y +21 = 10y +20 . . . . eliminate parentheses
4y + 21 = 20 . . . . subtract 10y
4y = -1 . . . . . . . . . subtract 21
y = -1/4 . . . . . . . . .divide by 4
_____
<em>Check</em>
(-1/4)/5 +3/10 = (-1/4 +2)/7 . . . . . substitute for y
-1/20 +6/20 = (7/4)/7 . . . simplify a bit, rewrite 3/10
5/20 = 1/4 . . . . . . . . . . true
Answer:
56n - 7m
Explanations:
Note that according to the distributive property:
a(b + c) = ab + ac
a(b - c) = ab - ac
Therefore, follow the rule above to rewrite 7(8n - m) using the distributive property.
7(8n - m) = 7(8n) - 7m
7(8n - m) = 56n - 7m
