for the first part:
Let's solve for x.
−x+3y=14
Step 1: Add -3y to both sides.
−x+3y+−3y=14+−3y
−x=−3y+14
Step 2: Divide both sides by -1.
−x/−1 = −3y+14/−1
x=3y−14
Answer:
x=3y−14
Second part:Let's solve for x.
3x−3y=−6
Step 1: Add 3y to both sides.
3x−3y+3y=−6+3y
3x=3y−6
Step 2: Divide both sides by 3.
3x/3= 3y−6/3x=y−2
Answer:
x=y−2
the function f(x) = 4(x+3) − 5
Lets find the inverse function f^-1(x)
step 1: Replace f(x) with y
y = 4(x+3) − 5
step 2: Replace x with y and y with x
x = 4(y+3) - 5
step 3: Solve for y
x = 4(y+3) - 5
x = 4y +12 -5
x= 4y + 7 (subtract 7 on both sides)
x - 7 = 4y (divide by 4 on both sides)
Given : x = 3
We plug in 3 for x in the inverse function
= -1
the inverse function when x = 3 is -1
Add your checks: 12.56 + 52.11 + 26.03 = 90.70
Subtract that from starting balance:
463.76 - 90.70 = 373.06
Add the deposits:
373.06 + 101.32 + 10.98 = 485.36
Your balance is correct.
Subtract your balance from the bank balance:
511.39 - 485.36 = 26.03
The difference is the amount of one of the checks you wrote, which means that check has not been cashed yet.
You did not do anything wrong.