Answer:
OPTION B: K = 15
Step-by-step explanation:
The given equation is: 21 + 3x = 3x + K
Substitute K = 3x
we get: 21 = 3x + 3x + 3x
⇒ 21 + 3x = 6x
⇒ 21 = 3x
This gives the value of x = 7. That means K = 3x gives us a solution. So, OPTION A is eliminated.
Now, K = 15
The equation becomes 21 + 3x = 3x + 15
Subtracting 3x on both the sides, we get:
⇒ 21 + 3x - 3x = 15 + 3x - 3x
⇒ 21 = 15 which can not be correct. So, K = 15 renders the equation meaningless and hence with no solution.
So, OPTION B is the answer.
Note that K = 21 will give the equation with infinitely many solutions.
Answer:
$356.00
Step-by-step explanation:
If d represents the discounted price, and p is the original price, you have ...
d = p - 20% × p = p(1 -20%) = 0.80p
Then the original price is ...
p = d/0.80 . . . . . divide by the coefficient of p
p = $284.80/0.80 = $356.00
The price before the discount was $356.00.
The slope would be -2 because the graph is going down and from the y-intercept (0-2), it is going 2 units down and 1 unit right.
Answer:
We have, 2x+y=3 .......(1)
xy=1....(2)
In equation (2), we get
y=
x
1
..........(3)
y put in the equation (1)
2x+
x
1
=3
2x
2
+1=3x
2x
2
−3x+1=0
2x
2
−3x−1x+1=0
2x(x−1)−1(x−1)=0
x=1, x=
2
1
We take the value of x=1
x value put in equation (1)
2(1)+y=3
y=3−2
y=1
x=1
x and y value put (x+y)
x−y
=(1+1)
(1−1)
=2
0
=1
Hence, this is the answer
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