Answer:
1 x=-2.5 y = -5.5
2. x=5 y=1
Step-by-step explanation:
1) What is the solution of the given system?
5x-y=-7
3x-y=-2
Multiply the second equation by -1
-1*(3x-y)=-1(-2)
-3x +y = 2
Now add the first equation to the modified second equation
5x-y=-7
-3x +y = 2
------------------
2x = -5
Divide each side by 2
2x/2 = -5/2
x = -2.5
Now we need to find y
-3x+y =2
-3(-2.5) +y =2
7.5 +y =2
Subtract 7.5 from each side
7.5 -7.5 +y =2-7.5
y = -5.5
2) what is the solution of the given system?
5x+7y=32
8x+6y=46
Divide the second equation by 2
8x/2+6y/2=46/2
4x+3y =23
Multiply the first equation by 4
4 (5x+7y)=32*4
20x+28y = 128
Now multiply the modified 2nd equation by -5
-5(4x+3y )=-5(23
)
-20x -15y = -115
Lets add the new equations together to eliminate x
20x+28y = 128
-20x -15y = -115
---------------------
13y = 13
Divide each side by 13
13y/13 =13/13
y=1
Now substitute back in to find x
5x+7y=32
5x +7(1) =32
5x +7 =32
Subtract 7 from each side
5x+7-7 =32-7
5x =25
Divide by 5
5x/5 =25/5
x=5
In algebra, the conversion of a more complex number to a simpler mixed number is rather simple. For the repeated numbers, which are designated by the bar above them, we simply have to put over 9 for each number repeated and 0 for the non-repeated numbers.
In this item, we have 1.28 with bar above 28 signifying that the number can also be written as 1.28282828.... The mixed number is then equal to,
<em>1 and 28/99 or 1 and 28 over 99</em>
Therefore, the answer to this item is the second choice.
Answer:
10000 cm to 1000 m ratio is 1:10
Step-by-step explanation:
To find : The simplified ratio correctly compares 10,000 centimeters to 1000 meters.
Solution :
To find the ratio first we make the unit same.
1 m= 100 cm
1000 m= 1000 × 100 cm
1000 m= 100000 cm
Now, to compare 10,000 cm to 1,00,000 cm
The ratio is
10000 cm to 100000 cm ratio is 1:10
or 10000 cm to 1000 m ratio is 1:10
3:4:5 you just divide all of them by 10
In each case, you can start by taking the antilog.
21. x = 4^(3/2)
x = 822. 81 = x^(4/3)
81^(3/4) =
x = 2724. 2x - 3 = 6^0
2x = 4 . . . . . add 3
x = 225. 5 - x = 16^(1/2)
5 - 4 =
x = 1_____
You're using the relationship of logarithms:
