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
Answer:
y=-6
Step-by-step explanation:
3y+7=-11
3y=-11-7
3y=-18
y=-18/3
y=-6
The error is that the student put a decimal point in between the 9 and 3 instead of a multiplication sign.The answer is 9x3
$7.18 / 2 = $3.59 per pound
.........................................
so 1 lb = $3.59
2 lbs = 2* $3.59 = $7.18
3 lbs = 3 * $3.59 = $10.77....
