PLEASE DON'T SKIP
Solve the system of equations.
Answers
2x + 3y = 1
y = 3x + 15
There's not much you can do with the first equation, because it has
two variables in it ... 'x' and 'y' . No matter how much you move them
around, you'll never be able to get either one equal to just a number.
Is there any way you could get rid of one of the variables in the first
equation, and have just 1 letter in it to solve for ?
Absolutely ! The second equation tells you something that 'y' is equal to,
(3x + 15). "EQUAL" is very powerful. It means that wherever you see 'y',
you can put (3x + 15) in its place, and you won't change anything or
upset anything. One thing you can do is take that (3x + 15) from the
2nd equation, and put it right into the first equation in place of 'y'.
You'll see how that helps as soon as you do it.
First equation: 2x + 3y = 1
Substitute for 'y' : 2x + 3(3x + 15) = 1
Remove parentheses: 2x + 3(3x) + 3(15) = 1
2x + 9x + 45 = 1
Combine the terms with 'x' in them: 11x + 45 = 1
Look what you have now ! An equation with only one variable in it !
Subtract 45 from each side: 11x = -44
Divide each side by 11 : x = -4
You're more than halfway there. Now you know what 'x' is,
and you can use it with either equation to find what 'y' is.
-- If you use it with the first equation: 2x + 3y = 1
Put in the value of 'x': 2(-4) + 3y = 1
Remove the parentheses: -8 + 3y = 1
Add 8 to each side: 3y = 9
Divide each side by 3 : y = 3
-- If you use it with the 2nd equation: y = 3x + 15
Put in the value of 'x' : y = 3(-4) + 15
Remove the parentheses: y = -12 + 15
Add numbers on the right side: y = 3 (same as the other way)
So there's your solution for the system of two equations:
x = -4
y = 3
Related Questions
1.Rachel has 6 pairs of black shoes and 2 pairs of red shoes. What is the ratio of pairs of red shoes to pairs of black shoes?A. 3:1B. 1:3C. 4:1D. 1:42. In a probability experiment, Eric flipped a coin 42 times. The coin landed on heads 28 times. What is the ratio of heads to tails in this experiment?A. 2/3B. 2/1C. 1/2D. 2/3
1/2r + 2(3/4r - 1) = 1/4r + 6
Which shows the prime factorization of 36? A.2 • 2 • 2 • 3B.2 • 2 • 3 • 3C.2 • 2 • 9 • 1D.2 • 3 • 3 • 3
Max tossed a fair coin 3 times. What is the probability of getting heads in the first two trials and tails in the last trial?
Answers
Answer:
The probability to pick a vowel is
Step-by-step explanation:
Probability = Required outcome / All possible outcome
From the question;
the word “Mathematical” is written on individual pieces of paper
We have to count the total numbers of letter present in the word
When we count properly, we have 12 total numbers of letters
The we proceed to count the numbers of vowel
Here are the vowel in the word “Mathematical” :
a, e, a, i, a
The vowels are 5 letters
Probability = Required outcome / All possible outcome
Required outcome = 5
All possible outcome = 12
Probability =
The probability that you pick a vowel is
In the word "Mathematical"
Vowels are "a", "e", "a", "i", "a" from left to right
Consonants are "m", "t", "h", "m", "t", "c", "l"
5 vowels and 7 consonants of total 12 letters
So the probability of picking a vowel is
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The required equation is given as 2 1/8 + 2 1/8, as of the given condition,
Given that,
To use two mixed numbers to write an equation with a sum of 4 1/4.
What is the fraction?
Fraction is defined as the number of compositions that constitute the Whole.
What is a mixed number?
A mixed number is in the form a b/c which is represented as a + b/c.
Here,
let the missed number be x
Now,
according to the question,
x + x = 4 1/4
2[x ] = 4 1/4
x = 2 1/8
Thus, the required equation is given as 2 1/8 + 2 1/8, as of the given condition,
Learn more about fractions here:
brainly.com/question/10708469
#SPJ2
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p= perimeter h= height b=base
Since the base area of this prism is 21cm^2 we can multiply by 2.
21*2=42cm^2
And we know the perimeter of the base is 20 and the height is 8 we just multiply.
20*8= 160cm^2
Now we add
160+42= 202cm^2 is the surface area of this prism.
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Answer:
Anaida completed her homework in 23 minutes on Sunday. on saturday she needed 3 times as much time how much time does she spend on homework both days together
on Saturday she finished her homework in 23*3 = 69 min
Sunday in 23min
how much time does she spend on her homework the two days together:
69+23 =92min =1h32min
Answer:
Step-by-step explanation:
On Sunday, Anaida finished her homework in 23 minutes. On Saturday, she needed 3 times that amount, which is 23 minutes * 3 = 69 minutes. To find out how much time she spent on both days together, simply add 23 minutes (Sunday) + 69 minutes (Saturday) = 92 minutes in total. So, she spent 92 minutes on her homework on both days together.