the sum of two number is 5. the difference of the numbers is negative 3. find the two numbers
Answers
Answer: The two numbers are 1 and 4
1+4 = 5
1-4 = -3
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Explanation:
You set the equations up properly. Nice work so far.
Let's add the equations straight down.
The x terms add to x+x = 2xThe y terms add to y+(-y) = y-y = 0y = 0, showing that the y terms cancel each other out and go away.The numbers on the right side add to 5+(-3) = 2After those three sets of addition operations, we are left with the equation 2x = 2. This solves to x = 1 after dividing both sides by 1.
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Use this x value to find y
We can pick either equation. If we pick the first equation, then,
x+y = 5
1+y = 5
y = 5-1
y = 4
Or we could use the other equation instead
x-y = -3
1-y = -3
-y = -3-1
-y = -4
y = 4
Either way, we get the same y value when x = 1. This helps confirm we have the correct x value. A more thorough check would involve plugging (x,y) = (1,4) into both original equations and simplifying. You should get the same value on each side.
The value of x is 1 while y is 4 for the given set of constraints.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
Let's say the first number is x while the second is y
Now,
x + y = 5
x - y = -3
By adding
2x = 2
x = 1
So y = 5 - 1 = 4
Hence "The value of x is 1 while y is 4 for the given set of constraints".
For more about the equation,
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Related Questions
Ruth's gross paycheck last week was $445.50 from working 27 hours. What is her hourly
pay rate?
Answers
______________________________
= $445.5 ÷ 27Hrs= 16.5= $16.50Ruth's Hourly Pay Rate Is $16.50______________________________
Lexus skateboards from his house to school 4 miles away. It takes him 20 minutes.
Assume that Lexus skateboards at a constant rate.
Part A
Write an equation to represent the number of miles, m, that Lexus can skateboard in t minutes.
Answers
Answer:
[tex]\displaystyle m = \frac{1}{5}\cdot t[/tex]
Step-by-step explanation:
Proportional Model
The number of miles m that Lexus can skateboard in t minutes can be modeled by:
m = kt
It's given that Lexus skateboard from his house to school for a distance of m=4 miles in t=20 minutes.
Substituting:
4 = k.20
Dividing by 20
[tex]k=\frac{4}{20}[/tex]
Simplifying:
[tex]k=\frac{1}{5}[/tex]
This produces the model
[tex]\displaystyle m = \frac{1}{5}\cdot t[/tex]
I used the equation y=4x+20.
A) 1 Km/h
B) 2.5 Km/h
C) 5 Km/h
D) 15 Km/h
Which is the right answer?
Answers
Answer:
C
Step-by-step explanation:
If two fractions are between 0 and 1, can their product be more than 1? please explain. Thank You.
Answers
Answer:
B) always less than either of the original fractions
Step-by-step explanation:
We can easily Answer this by taking some values.
The question states that the two fractions, each have values between 0 and 1.
Let us say one of the fraction is 1/2 and the other fraction is 1/3 .
The product of the two fractions is 1/2 x 1/3 = 1/6 .
is lesser than both 1/2 and 1/3 .
So, the correct answer is that the product is always less than either of the original fractions.
The two fractions are between 0 and 1 their product will always less than either of the original fractions.
What is fraction?A fraction is number expressed "as quotient, in which the numerator is divided by denominator".
According to the question,
If two fractions are between 0 and 1. In order to check their product be more than 1.
Let us assume one fraction is 1/2 and the other fraction is 1/3. The product of the two fractions:
1/2 x 1/3 = 1/6.
Since the value of fraction 1/2 is 0.5, the value of fraction 1/3 is 0.3333 and the value of fraction 1/6 is 0.166667.
It clearly shows 0.5 > 0.16667 and 0.3333 > 0.16667.
Hence, the two fractions are between 0 and 1 their product will always less than either of the original fractions.
Learn more about fractions here
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PLZ HURRY
How many solutions does this system have?
x+4y= 6
y=2x-3
A.one
B.two
C.an infinite number
D.no solution
Answers
Answer:
One
Step-by-step explanation:
x+4y = 6
if why is 2x-3 plug it in
x+4(2x-3) = 6
simplify it and you get
x=2
A. one
x = 2,y = 1
~iwa-chan
An equation can be defined as a mathematical statement consisting of an equal symbol between three algebraic expressions that have the same value.
true or false
Answers
False false false false false
A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 9.
Answers
Answer:
you are only rolling 1 dice the probability of getting 9 is 0 there are only 6 sides to one die
Probability of getting a 9 is 0
Give that;
Total number of outcome in die = 6
Total numbers are {1, 2, 3, 4, 5, 6}
Find:
Probability of getting a 9
Computation:
Number of outcome 9 come in a die = 0
So,
[tex]Probability = \frac{Number\ of\ favourable\ outcomes}{Total\ outcomes}[/tex]
Probability of getting a 9 = 0 / 6
Probability of getting a 9 = 0
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5.2 × _______ = 5.2 whats the answer
Answers
Answer:
1
Step-by-step explanation:
Can't get my head around this at all any help would be greatly appreciated.
Answers
Answer:
The input is -6, hope this helps :D
Step-by-step explanation:
Represent the machines as expressions:
outputA= 7x-6
outputB= 3x+2
Find the input when the outputA is 3*outputB:
outputA=3outputB
(7x-6)=3(3x+2)
7x-6=9x+6
2x=-12
x=-6
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]A=7x-6\\B=3x+2\\For A=3B\\7x-6=3(3x+2)\\7x-6=9x+6\\2x=-12\\x=-6\\[/tex]
Show your work with x box method
Answers
Calculate the mean: 5, 4, 8, 12, 15
Answers
Answer: 5
Step-by-step explanation:
the mean is 5+4+8+12+15= 44
44 divide by 5= 8.8
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A The table shows a proportional relationship.
B. When x is 20, y is 2.55
C. All the ratios y/x for related pairs of x and y are equivalent to 8.
D. The unit rate of y/x for related pairs of x and y is 1/8
E. If the table continued, when x is 30, y would be 3.75
Answers
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Answer:
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Step-by-step explanation:
The Pythagorean theorem tells you of the relationship between the sides and diagonal of the rectangle:
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needhelp
select the correct answer
what are the ratios equvialnt to each other
a 1:6 and 2:9
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Answers
What is 7 3/4 - 1/3 =
Answers
Answer: 215/12
Step-by-step explanation:
27/4 - 1/3
27/4 x 3/3 = 81/12
1/3 x 4/4 = 4/12
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Can someone plzz help this assignment is due in 15 minutes and I really need help on some questions!!! Ms. Martinez, an experienced typist,
averages only 3 errors in 500 words.
On the average, what percent of the
words that Ms. Martinez types
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation: