INVERSES OF LINEAR EQUATIONS

This is if you are looking for inverses

Step-by-step explanation:

Switch y and x then solve for y.

then at the end switch it again but for y put f to the power of -1

1) y = 3x+5

x=3y+5

X+5/3=y

2) F(X)= 1/4x

x = 1/4y

x/1/4=y

3) x+5/.4 = y

4) x+9/.75

5)x-8/-2=y

6)x+51/17

7)x+25/5=y

1 y = 3x+5

x=3y+5

X+5/3=y

2 F(X)= 1/4x

x = 1/4y

x/1/4=y

3 x+5/.4 = y

4 x+9/.75

5)x-8/-2=y

6)x+51/17

7)x+25/5=y

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.