5x−y=10 3x+y=14 please solve the system of equations and show your work
Answers
Answer:
x = 3, y = 5
or (3,5) in coordination point form.
Step-by-step explanation:
We are going to solve the system of equations by combining two equations. To do that, we isolate y-term.
[tex] \large{\begin{cases} 5x - y = 10 \\ 3x + y = 14 \end{cases}}[/tex]
Convert both equations to slope-intercept form.
[tex] \large{ \begin{cases} y = 5x - 10 \\ y = - 3x + 14 \end{cases}}[/tex]
Then combine both equations
[tex] \large{5x - 10 = - 3x + 14} \\ \large{5x + 3x = 10 + 14} \\ \large{8x = 24} \\ \large{x = 3}[/tex]
Substitute x = 3 in one of given equations. I will substitute x = 3 in y = 5x-10
[tex] \large{y = 5x - 10} \\ \large{y = 5(3) - 10} \\ \large{y = 15 - 10} \\ \large{y = 5}[/tex]
Hope this helps!
Related Questions
what is the difference between AD and BC
Answers
Answer:
AD means after death and BC means before christ
Which expressions are equivalent to 5x-15? Select three options.
5(X+15)
5(x-3)
4x+3y-15-3y+X
-7y-6x-8y + x
0-20-3x+5+ 8x
Answers
Answer:
The number 2 for sure but i dont know the rest
Step-by-step explanation:
6 Which equation has a solution of s = 9.5 ? F -5s = -47.5 G -3 + s = 12.5 H --2s 19 J –1 + s = 10.5
Answers
Answer:
F. -5s = -47.5
Step-by-step explanation:
F. -5s = -47.5
s = -47.5 / -5
s = 9.5
This is the correct option
G. -3 + s = 12.5
s = 12.5 + 3
s = 15.5 (Incorrect option)
J. –1 + s = 10.5
s = 10.5 + 1
s = 11.5 (Incorrect option)
3. Reasoning Ben says that n = 5 is the solution of the equation 7n = 45. How can you check whether Ben is correct?
Answers
Answer:
You cant, because Ben is WRONG, unless you made a typo while writing the question
Step-by-step explanation:
If you subsitute N for 5, then the equation would be 7 x 5 = 45. However, this is not true. The correct equation is 7 x 5 = 35, so Ben is wrong UNLESS you made a typo while writing the question.
Hope this helped! If it did, please mark it brainliest! It would help a lot! :D
A fish tank has 10 goldfish, 6 tetras, 5 snails, and 2 platies. What is the ratio of tetras to platies?
A. 2/10
B. 6/2
C. 2/6
D. 10/6
Answers
Answer:
its B cuz there r six tetras and 2 platies so it is 6/2
(2x2)+(8-6)
Whats the answer
Answers
Answer:
6
Step-by-step explanation
following pemdas, we first multiply 2 x 2, which is four. Next, we do the other parenthesis, 8 - 6, which is two. 2 + 4 is 6.
Hope this helps!
Answer:
the answer is six
Step-by-step explanation:
2×2=4
then
8-6=2
4+2=6
One interior angle of a triangle is 60⁰. The other angle measures are x⁰ and y⁰. Which of the following could be the values of x and y? Select all that apply. A. x = 50, y = 90 B. x = 45, y = 45 C. x = 40, y = 80 D. x = 100, y = 20 E. x = 60, y = 60
Answers
Answer:
B,C,D
Step-by-step explanation:
How can you break up the figure into familiar shapes to determine the area?
A smaller rectangle is cut out of a larger rectangle. The larger rectangle has a base of 6 yards and height of 7 and one-fourth yards. The smaller rectangle has a base of 3 and two-thirds yards and height of 5 yards.
Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7One-fourth yd rectangle.
Add the area of the 5 yd by 3 and two-thirds yd rectangle to the area of the 6 yd by 7One-fourth yd rectangle.
Subtract the area of the 6 yd by 7One-fourth yd rectangle from the area of the 5 yd by 3 and two-thirds yd rectangle.
Multiply 6 yd by 7One-fourth yd and subtract 5 and 3 and two-thirds from the product.
Answers
Answer:
a
Step-by-step explanation:
edge 2021
Answer:
A: Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7 One-fourth yd rectangle.
Step-by-step explanation:
Just did the test on edge
16 km
d) radius =
diameter =
Answers
Answer:
the radius is half the diameter. radius = 8 diameter =16
Step-by-step explanation:
Account (A) is a saving account , the interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A). How much is the principle for account (A) ?3
Answers
Answer:
The principal for the account is $375.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).
This means, respectively, that [tex]t = 1, E = 12, I = 0.032[/tex]
We want to find P.
[tex]E = P*I*t[/tex]
[tex]12 = P*0.032*1[/tex]
[tex]P = \frac{12}{0.032}[/tex]
[tex]P = 375[/tex]
The principal for the account is $375.
What is the coefficient of y in the expression x+4y+3
Answers
4) Find the area. 7 cm 9 cm 12 cm
Answers
Answer:
756 cm
i hope this helps
Find the Area of the Shaded Region.
183 in
184 in?
182 in2
117 in?
Answers
Answer:
Shaded Region? 182in²?
Step-by-step explanation:
Where is the Shaded Region?
but between all The options you gave it to us 182in² have area unit
Monica bought a new house and she is looking to get cable and wifi. She is looking for reasonable prices. Monica is trying to compare two different companies. Comcast is charging $60 per month and $4 for any extra channels. On the other hand, Verizon is charging $45 per month and $6 for any extra channels.
=4+60
=6+45
PLEASE HELP ASAP
Answers
Answer:
I think she should get the Verizon house hold Wifi because when you compare the prices even if Monica doesn't want any extra channels she would still save $15. Even tho the extra channel was $4 for the Comcast when you add it up you get $64 instead when you use Verizon even tho you pay $6 for extra channels you still don't get the amount for the Comcast which you save $13 by getting Verizon with $51.
Step-by-step explanation:
Two numbers are in the ratio 2:3 and have sum of 25...
What are the numbers?
Answers
Answer:
Use this as an example.
Step-by-step explanation:
a/b = 2/6 = 1/3
a/b = 1/3
b = 3a
a + b = a + 3a = 192
4a = 192
a = 192/4 = 48
b = 3a = 3(48) = 144
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answers
Explanation: the radius is half of the circumference therefore the answer is 40 inches considering the radius is 20 inches.
(11x-28) + (10x-17) combine like terms
Answers
Answer:
21x-45
Step-by-step explanation:
(11x-28)+(10x-17)=11x-28+10x-17=21x-45
Hope this helps =]
Hey there!
(11x - 28) + (10x - 17)
= 11x - 28 + 10x - 17
COMBINE the LIKE TERMS
= (11x + 10x) + (-28 - 17)
= 11x + 10x - 28 - 17
= 21x - 45
Therefore, your answer is: 21x - 45
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the m∠J, to the nearest tenth? JLK is right angle triangle. The length of JL is 9.4 and length of LK is 15.1.
Answers
Answer:
58.1
Step-by-step explanation:
Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Please only answer if your sure
Answers
Answer:
second option.
Step-by-step explanation:
simplifly the expression
5^-4x5^2
Answers
Answer:
5^-2
Step-by-step explanation:
When you multiply exponents, you can add them if they have like bases.
-4 + 2 = -2
Answer:
It would be x over 25
What is the area of the figure below? 4.5 m 14m 6m
Answers
Answer:63m^2
Whole quiz
36in^2
63m^2
26in^2
96m^2
Answer:
[tex]63m^{2}[/tex]
Step-by-step explanation:
Write an equation of a line that has a slope of 3/4and passes through point (8,7)
Answers
please help me with this :)))
Answers
Answer:
C, 33 1/3%
Step-by-step explanation:
Because there are only two even number that follow this rule: 2<x≥6, and since there are only 6 possible outcomes, the probabilty is 2/6, which is 1/3. In a percent form, this is 100%*2/3, or 33 1/3%.
The probability distribution for a
random variable x is given in the table.
-3
-2
0
2
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that x < 0
Answers
Answer:
.21
Step-by-step explanation:
is
Answer: 0.79
Step-by-step explanation:
If k=9 and x=5, find the value of the expression:
2k - X
Please hurry
Answers
Answer:
[tex]\huge\boxed{13}[/tex]
Step-by-step explanation:
= 2k - x
Given that k = 9, x = 5
= 2(9) - 5
= 18 - 5
= 13
[tex]\rule[225]{225}{2}[/tex]
Hope his helped!
~AH1807The probability distribution for a
random variable x is given in the table.
-10
-5
0
5
10
15
20
Probability
.20
.15
.05
.1
.25
.1
.15
Find the probability that x = -10
Answers
Answer:
.20
Step-by-step explanation:
According to what are written in the table the probability for x=-10 is .20
The probability distribution at x= -10 is 0.20.
What is Probability distribution?A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.
Given:
We have table as,
x -10 -5 0 5 10 15 20
Probability 0.20 0.15 0.05 0.10 0.25 0.10 0.15
So , we have to find probability that x = -10 then by looking at table the corresponding value to x= -10 the probability is 0.20.
Learn more about Probability distribution here:
https://brainly.com/question/14210034
#SPJ2
Just chillin' at the max 32-bit limit with two answers...
Answers
Answer:
I don't understand what the question issssss
If 15% of a number is 150, find 3% of that number.
Answers
Answer:
$50
Step-by-step explanation:
hoped I helped
and p.s. dont click the link
Answer:
the answer is 30
A 12m by 12m square garden has a 1m wide path through the centre, parallel to one side of the square. calculate the area of the garden left for planting.
Answers
Answer:
132 m²
Step-by-step explanation:
overall area = 12 m x 12 m = 144 m²
area of path = 1 m x 12 m = 12 m²
144 m² - 12 m² = 132 m²
HELPPPPP PLS ILL GOVE THE BRAINLIEST ANSWER !! just help asap !!
Answers
answer is 4√2
because, using pythagoras theorem
x² = 4² + 4²
x² = 16 + 16
x² = 32
x = √32
x = √(16 × 2)
x = √16 × √2
x = 4 × √2
x = 4√2