Answer:
(A)
Solve: [tex]-mk-90>85[/tex] for m; .....[1]
Addition property of equality states that you add same number to both sides of an equation
Add 90 to both sides in [1], we get;
-mk-90+90 > 85+90
Simplify:
-mk>175 or
Now, divide both sides by -k.
[tex]m< -\frac{175}{k}[/tex]
Also remember, that when you divide or multiply a number in an inequality, you must flip the sign to its opposite.
Therefore, the value of [tex]m< -\frac{175}{k}[/tex] for k≠0.
(B)
Solve: 3c-5f=55 for f;
Subtract both sides by 3c we get;
3c-5f-3c=55-3c
Simplify:
-5f= 55-3c
Divide both side by -5 we get;
[tex]\frac{-5f}{-5}= \frac{55-3c}{-5}[/tex]
Simplify:
[tex]f=\frac{x}{y} =\frac{55}{-5}- \frac{3c}{-5}[/tex]
or
[tex]f=-11+\frac{3c}{5}[/tex]
Therefore, the value of [tex]f=-11+\frac{3c}{5}[/tex] for every c.
