Hose a =1/5 pool per hour
hose b=1/6 pool per hour
1/5+1/6=11/30 pool per hour
1/11/30=30/11 hours to fill the pool with both hoses
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Answer:
Step-by-step explanation:
let x° be temperature when he woke up. Given that the temperature rose by 11° then later dropped by 14°. Also let be temperature at time t The temperature relative to time of waking up can be expressed as:
Hence, temperature relative to time of waking up is expressed as
One easy way is first solve for y
3x-5y=9
minus 3x both sides
-5y=-3x+9
divide both sides by -5
y=
so
if x=-1
y=
y=
y=
if x=0
y=
y=
y=
if x=1
y=
y=
y=
To solve for any given number of variables, you need that number of equations to solve for all variables. When there are only two variables you only need to equations to solve for them both. You eliminate one variable at a time, order does not matter.
y-x=6 and y+x=-10
Since one equation has -x and the other +x, you can simply add the two equations together to eliminate x...
(y-x=6)+(y+x=-10)
y+y-x+x=6-10
2y=-4
y=-2, now you can use this value of y in either original equation to solve for x...
y-x=6, using y=-2 becomes:
-2-x=6
-x=8
x=-8
So the solution to the system of equations is the point (-8, -2)
You can always check by using these two values in the original equations...
y-x=6, -2--8=6, -2+8=6, 6=6
y+x=-10, -2+(-8)=-10, -2-8=-10, -10=-10