9514 1404 393
Answer:
(x, y) = (5, 2)
Step-by-step explanation:
<u>Given</u>:
LP = x
MP = 2y+3
NP = y+3
KP = 3x -8
KP = MP, LP = NP
<u>Find</u>:
x, y
<u>Solution</u>:
The given relations between the segment lengths let us write two equations:
KP = MP
3x -8 = 2y +3 ⇒ 3x -2y -11 = 0 [eq1]
LP = NP
x = y +3 ⇒ x -y -3 = 0 [eq2]
__
Subtracting 3 times [eq2] from [eq1] gives ...
(3x -2y -11) -3(x -y -3) = 0
y -2 = 0 . . . . . . . . simplify
y = 2 . . . . . . . . . . add 2
Substituting this value into [eq2] gives ...
x = 2 + 3 = 5
The values of x and y are ...
x = 5, y = 2
50 x 4 = 200 minutes
The reason why I multiplied by 4 was because 12 divide 3 = 4
200 minutes is equal to 3 hours 20 minutes
There's your answer
Hope this helps!
Answer:
The total cost is 
Step-by-step explanation:
Let
x-----> the number of tulips
y-----> the number of daffodils
C-----> the total cost
we know that
substitute the value of x
Find the total cost
substitute
Answer:
the solution is (-1, 2)
Step-by-step explanation:
Let's solve the system
(3x + 4y = 5)
(2x - 3y = -8)
using the method of elimination by addition and subtraction. Notice that if we multiply all terms of the first equation by 3 and all terms of the second by 4, y as a variable will temporarily disappear:
9x + 12y = 15
8x - 12y = -32
-----------------------
17x = - 17, so x = -1.
Replacing x in the second equation by -1, we get:
2(-1) - 3y = -8, or
2 + 3y = 8,
or 3y = 6. Thus, y = 2, and the solution is (-1, 2).
