Hey there! :)
Answer:
a. b = y - mx
b. x = y - b /m
c. t = I/ pr
d. t = A - p/pr
Step-by-step explanation:
a. y = mx + b (for b)
Isolate the b variable by subtracting both sides by mx:
y - mx = b.
Therefore:
b = y - mx.
b. y = mx + b (for x)
Subtract 'b' from both sides:
y - b = mx
Divide 'm' from both sides:
y - b / m = x
c. I = prt
Divide both sides by pr:
I /pr = t.
d. A = p + prt
Subtract p from both sides:
A - p = prt
Divide both sides by pr:
A - p / pr = t
![\left[\begin{array}{cc|c}-1&-1&-12\\-3&2&32\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D-1%26-1%26-12%5C%5C-3%262%2632%5Cend%7Barray%7D%5Cright%5D)
Multiply through row 1 by -1:
![\left[\begin{array}{cc|c}1&1&12\\-3&2&32\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%261%2612%5C%5C-3%262%2632%5Cend%7Barray%7D%5Cright%5D)
Add 3(row 1) to row 3:
![\left[\begin{array}{cc|c}1&1&12\\0&5&68\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%261%2612%5C%5C0%265%2668%5Cend%7Barray%7D%5Cright%5D)
Multiply through row 2 by 1/5:
![\left[\begin{array}{cc|c}1&1&12\\0&1&\frac{68}5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%261%2612%5C%5C0%261%26%5Cfrac%7B68%7D5%5Cend%7Barray%7D%5Cright%5D)
Add -1(row 2) to row 1:
![\left[\begin{array}{cc|c}1&0&-\frac85\\&&\\0&1&\frac{68}5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%260%26-%5Cfrac85%5C%5C%26%26%5C%5C0%261%26%5Cfrac%7B68%7D5%5Cend%7Barray%7D%5Cright%5D)
This is a line in the form y = mx + b, where b is the y intercept. In your equation above, 3 is the slope, the m value, and -6 is the y-intercept, the b value.
The answer would be the greater than sign such as >... the whole equation would be 9*4-2x>2(9-x)
