Answer:
Option A
Step-by-step explanation:
Given:
- a. 3x-5= 3x + 5
- b. 3x-5= 3x - 5
- c. 3x - 5 = 2x+5
- d. 3x-5 = 2x + 10
To find:
- Which one of the linear equations have no solution.
Solution:
a) 3x-5= 3x + 5
Add 5 to both sides
3x-5= 3x + 5
3x - 5 + 5 = 3x + 5 + 5
Simplify
(Add the numbers)
3x - 5 + 5 = 3x + 5 + 5
3x = 3x + 5 + 5
(Add the numbers)
3x = 3x + 5 + 5
3x = 3x + 10
Subtract 3x from both sides
3x = 3x + 10
3x - 3x = 3x + 10 - 3
Simplify
(Combine like terms)
3x -3x = 3x + 10 - 3
0 = 3x + 10 - 3
(Combine like terms)
0 = 3x + 10 - 3
0 = 10
The input is a contradiction: it has no solutions
b) 3x-5= 3x - 5
Since both sides equal, there are infinitely many solutions.
c) 3x - 5 = 2x+5
Add 5 to both sides
3x = 2x + 5 + 5
Simplify 2x + 5 + 5 to 2x + 10
3x = 2x + 10
Subtract 2x from both sides
3x - 2x = 10
Simplify 3x - 2x to x.
x = 10
d) 3x-5 = 2x + 10
Add 5 to both sides
3x = 2x + 10 + 5
Simplify 2x + 10 + 5 to 2x + 15
3x = 2x + 15
Subtract 2x from both sides
3x - 2x = 15
Simplify 3x -2x to x.
x = 15
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Answer:
As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.
Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.
Answer:
21 cent per card
Step-by-step explanation:
5.25 / 25 = .21
because 25 can be divided into the first 2 numbers
I think step five is correct but no sure
Answer:
A
Step-by-step explanation:
Similar figures have sides in the same ratio
169/1.3 = 17/x
x = 17×1.3/169
x = 0.131 m
Answer:
A. $307,172.72
Step-by-step explanation:
Inez has to pay 4 percent in closing costs and 16 percent for the down payment on a purchase of $225,500 with an ARM.
4% + 16% = 20%
lnez has to pay 20% of $225,500
= 225,500*20/100
= 225,500*0.2
= $45100
lnez has to pay $45100.
Over the life of the loan, lnez will pay $262,072.72
Now we have to add down payment, closing cost and the payment over the life of the loan.
$45100 + $262,072.72
= $307,172.72
Answer: A. $307,172.72
Thank you.
