Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17?
(–4, –3)
(–4, 3)
(–3, –4)
(–3, 4)
Answers
Answer - (-3, -4)
The solution to the linear equations will be ( -3, -4 ).
What is linear equation?The equation whose highest degree of the variable used in the equation is 1 is called linear equation.
For example 12x+5y=19 is a linear equation.
We have,
- 4x + y = 8 .....(i)
x - 5y = 17 .....(ii)
Now,
Rewrite equation (ii) ,
x - 5y = 17
⇒ x = 5y + 17 .....(iii)
Now substitue this value of x in equation (i) i.e. - 4x + y = 8
We get,
- 4(5y + 17) + y = 8
- 20y - 68 + y = 8
- 19y - 68 = 8
- 19y = 8 + 68
-19y = 76
⇒ y = - 4
So, we have a value of y now substitute this equation (iii),
We get,
x = 5(-4) + 17
x = - 20 + 17
x = - 3
So,
The solution to the given linear equations is ( -3, -4 ).
Learn more about linear equations here:
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Related Questions
In an equation of the form k = ax^2 + bx + c with a > 0, the least possible value of k occurs at x = -b/(2a). In the equation k = (6x + 12)(x - 8), what is the least possible value for k?
Answers
Answer:
[tex]k= 6x^{2} -36x-96[/tex]
Is what I got in a calculator but however, if you'd try and solve for K you won't get a complete answer.
Hope this helped :)
Helpppppppppppppppp 10x10
Answers
Answer:
100
Step-by-step explanation:
Answer:
100 is the answer lol
Step-by-step explanation:
10x10 equals 100
Make up a story! It might help to split up the graph/story into intervals like I just stated...
0-9 minutes
9-15 minutes
15-21 minutes
Answers
We spent 9-15 minutes reading a book with the class.
It took me around 15-21 minutes to finish my lunch.
stephany can type 2/3 of a page in 1/6 hour .at this rate how many pages will stephany type per hour?
Answers
Which equation could be the one modeled on the following number line?
(-2) + 3 = 1
3+(-5)= (-2)
(-5)+ 3 = 2
5+ (-2)= 3
Answers
Answer:
2nd choice
Step-by-step explanation:
hope this helps
Answer:
Number 2! 3+(-5)=(-2)
If $(2x+5)(x-3)=14$, find the sum of the possible values of $x$.
Answers
Answer:
x = 1/4 ± 1/4√233
Step-by-step explanation:
(2x + 5)(x - 3) = 14
~Use FOIL on the left side
2x² - 6x + 5x - 15 = 14
~Combine like terms
2x² - x - 15 = 14
~Subtract 14 to both sides
2x² - x - 29 = 0
~Use the quadratic formula and simplify
x = 1/4 ± 1/4√233
Best of Luck!
Is she correct? Why or why not? Justify your reasoning.
Answers
Answer:
No she is wrong.
Step-by-step explanation:
4^4=4*4*4*4=256
Answer:
wrong
Step-by-step explanation:
the correct answer is 2^4=16
Answer ASAP for 20 points
Simplify the expression with NO exponents
q^18 x q^-20
Answers
Answer:
7x+8
Step-by-step explanation:
Answer:
q18xq−20
=
q18x
q20
=
x
q2
Step-by-step explanation:
Hope I helped
Brainliest plz
The previous balance in your check register $234.67 . You make a deposit of 150.00 .You write a check for $63.23 . What is your new balance ???
Answers
Answer:
321.44
Step-by-step explanation:
4/7 divide by 3/8 = 7/4 * 3/8 = 21/32
what did Alex do wrong? ASAP
Answers
Answer:
Step-by-step explanation:
He should’ve flipped 3/8 to 8/3.
= 7/4 x 8/3 = 56/12
Answer:
He should have done 4/7 * 8/3 = 32/21
Step-by-step explanation:
4/7 divide by 3/8 = 7/4 * 3/8 = 21/32
To divide 4/7 by 3/8, keep 4/7 and multiply by the reciprocal of 3/8, so do the multiplication below:
4/7 * 8/3
His mistake is using the reciprocal of the first fraction instead of the reciprocal of the second fraction.
Help Please I will give brainliest
order them from greatest to least
Answers
Answer:
3rd one, 4th one, 1st one, 2nd one
Step-by-step explanation:
1st one - 2.6
2nd one - (-3.125 )
3rd one - 10.35
4th one - -2.95
Answer:
-4.5 x -2.3 < -3 3/10 - (- 7/30) < 5/-1.6< 5 6/15 + (-2 4/5)
Hope this helped good luck
Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.
Answers
Answer:
Step-by-step explanation:
1) f(x) = x+y , xy = 49 --> f(x) = x+49/x
f '(x) = 1-49/x2 , x = ±√49 , choose x = +7
y = 49/x = 7
smaller = 7
larger = 7
2) Vertical Distance is difference between the two functions
V(x) = x+56 - x2, V '(x) = 1 -2x --> x = 1/2 --> V(1/2) = 56.25 <---Max Vertical distance
Boundary at -7 and 8 are less
3) I googled the equation, it is really y(n) = kn/(49+n2)
y '(n) = (k(49+n2) - 2kn2)/(49+n2) , Setting to zero, k(49+n2) -2kn2 = 0 , n = 7
4) Let x and y be the sides of the rectangle. A = xy = 37.5 Million or y = 37.5/x
The length of the fences is f(x) = 2x + 3y = 2x+112.5/x
f '(x) = 2-112.5/x2 --> x = √56.5 = 7.5 and y = 37.5/7.5 = 5 then scale by √Million
smaller = 5000 ft and larger = 7500 ft
this took me ages to work out so hopefully it helped
Answer:
x + y = 11
Step-by-step explanation:
xy = 28
x² + y² = 65
x³ + y³ = 407
(x + y)(x² - xy + y²) = x³ + y³
(x + y)(x² + y² - xy) = x³ + y³
(x + y)(65 - 28) = 407
37(x + y) = 407
x + y = 407÷37
x + y = 11
Some facts about powers of ten are shown.
Use what you know about powers of ten to enter numbers that make the equations true.
PLZ HELP
Answers
Blank 2: 4
Blank 3: 1000
Blank 4: 0.013
Answer:
1) 10,000
2) 4
3) 1,000
4) 0.0013
5) Make what equation true? Once you tell me I can edit the answer and write the answer that is supposed to be here!
Hope this helps!
Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?
____________months
Answers
Answer:
25 months
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
HELLLLLLPPPPPPPPP WILLL GIVE BRAINLYEST
Answers
Answer:
Green
Step-by-step explanation:
Answer:
orange is correct because (0,5) is going over 0 up 5 that will have you one the y-axis.
HELP PLZZZZZ
A 4-ounce tube of suntan lotion costs $1.79, and a 12-ounce tube costs $4.11. Which of these statements will help a shopper decide which tube of suntan lotion is the better buy?
The 4-ounce tube is the better buy because it cost less than the 12-ounce tube.
The 4-ounce tube is the better buy because it takes three 4-ounce tubes to equal one 12-ounce tube.
The 12-ounce tube is the better buy because it is less expensive per ounce than the 4-ounce tube.
The 12-ounce tube is the better buy because two 4-ounces tubes cost more than one 12-ounce tube.
Answers
Answer:
The last statement
Answer:
c i think
Step-by-step explanation: 1.79 x 3 = 5.37 so u might aswell get the 12 ounce
2/3x - 12, x=18 (show work)
Answers
Answer:
0
Step-by-step explanation:
Since we know x=18, we need to find 2/3 of 18.
Let's make 2/3 so that the denominator(bottom part of a fraction) is 18.
18 divided by three is six so we needs to times the top number, 2, by 6.
The fraction would now be 12/18. Now we needs to subtracts 12 which would become 0/18. This equals 0.
Find the Y-Intercept
-3x + 7Y = 21
Answers
Trust me dog
Answer:
(0, 3)
Step-by-step explanation:
To find the y-intercept of a linear equation, we simply need to put the equation into "slope-intercept" form. This will allow the y-intercept to be shown as the constant being added to the equation. To put a linear equation into slope-intercept form, we simply need to solve for Y. Let's do that.
-3x + 7Y = 21
3x + -3x + 7Y = 3x + 21
7Y = 3x = 21
(1 / 7) * 7Y = (3x + 21) * (1 / 7)
Y = (3x / 7) + (21 / 7)
Y = 3x/7 + 3
Now that we have the Y isolated, we can see the constant being added is 3. Hence, the y-intercept is (0,3) since by definition the y-intercept is the point at which the line crosses the x axis (where x = 0). If you plug x=0 into the equation, you get Y = 3.
Cheers.
[PICTURE ATTACHED] HHEEELLLPPP
Answers
Answer: it’s the first one
Step-by-step explanation:
it’s that because in order for you to buy a car you need a good credit without one how can you pay for your car monthly you might just lose your car.
Answer:
the top left one
Step-by-step explanation:
they actually look at your credit report if buy car to ensure that you pay properly
Describe the transformation in this image
Answers
Answer:
Rotation
Step-by-step explanation:
Please help i have no idea how to do this.
Answers
( please mark brainliest )
You flip a coin three times. What is the probability that you get heads all three times? Answer as a simplified fraction use the forward slash "/".
2. You town got 3.44 inches of rain in June, 5.07 inches in July, and 4.28 inches in August. What was the average rainfall over these three month? Round to the nearest tenths of an inch.
Answers
Answer:
50% chance each time
each tim
Answer:
1. 1/6
2. 4.26 inches
Step-by-step explanation:
1. Because theres a chance youll land on heads 1/2 each time. Since its out of 3 you multiply 1/2*3 and get 1/6
2. Add all of the numbers, then divide by 3
Please help me on this question hery hard 5x5=
Answers
Answer:
25
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
5+5+5+5+5=25
need help ASAP!! (If you have the right answer and sends in less than and hour I will give brainliest) (15 points)
Answers
Answer:
The first and last statement is wrong, but the three in between is correct. I hope that helps :-)
Step-by-step explanation:
Simplify the expression: 1/5(10 + 20d)
Answers
will give brainliest pls answer correctly
Rewrite the equation from Part D by factoring the side that contains the variable p.
Previous equation answer for Part D (for context): r = 65 - 60p
Answers
Answer: r = 5(13-12p)
Step-by-step explanation:
To factor, take out the GCF (the largest number that can be taken out of the equation to leave all numbers as whole numbers). In this case, the largest number that can be taken out of the equation is 5.
Take 5 out from the equation and put it outside of the parenthesis (a factor). Divide 65 and -60p by 5 to find the value of the numbers within the parenthesis.
After doing so, you will have your equation factored.
The simplification of r = 65 - 60p is r = 5(13-12p).
What is the greatest common factor?The biggest integer that can split the numbers evenly.
The term "largest common factor" refers to it.
Given equation,
r = 65 - 60p
To rewriting the equation by factoring the side:
For that, we take the greatest common factor,
r = 65 - 60p
GCF of 65 and 60 is 5.
So, r = 65 - 60p
r = 5(13-12p)
Therefore, the answer is r = 5(13-12p).
To learn more about the greatest common factor;
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Mary borrowed $6000 from a bank for 3 years and was charged simple interest. The total interest that she paid on the loan was $720. As a percentage, what was the annual interest rate of her loan?
If necessary, refer to the list of financial formulas.
what is the percent %
Answers
Step by step : I don’t know if it’s right but I did $6000 x 3 cause he did it for 3 year and then it came up to $18,000 then I did what is the percentage of 750$ in $18,000 and got 4.17
PLEASE ANSWER ASAP ITS DUE!!
an atom has the radius 3×10^-11 meters. One of the particles that makes up an atom has a radius of 1× 10^-15 meters. About how much larger is the atom than this particle?
Answers
Answer:
umm i belive 4 meters might not be right tho
Step-by-step explanation:
A group of words that does not express a complete thought, even though it may be punctuated as a sentence is a(n) _____.
A. elliptical comment
B. thoughtless statement
C. fragment
Answers
.........................
BRAINLIST WILL BE GIVEN . to answer just just say for example graph one goes with equation 3 and table 4 . this was just a example not the answers . only answer if you know the answer .
Answers
9514 1404 393
Answer:
(graph, table, equation) = (1, 5, 2), (2, 3, 1), (3, 2, 4), (4, 4, 5), (5, 1, 3)
Step-by-step explanation:
The graphs have the following (slope, intercept), so can be easily matched with the corresponding equation.
(1/2, 1), (2, -1), (1, 2), (1/2, -1), (-2, -1)
We can look at the points in the tables to see which graph they appear on.
Table 1, (-2, 3) is on graph 5
Table 2, (-3, -1) is on graph 3
Table 3, (-1, -3) is on graph 2
Table 4, (-2, -2) is on graph 4
Table 5, (4, 3) is on graph 1
__
Then our triples of graph, table, equation are ...
(1, 5, 2), (2, 3, 1), (3, 2, 4), (4, 4, 5), (5, 1, 3)
Answer:
hi! this is for free points and so you can give the other person brainliest! Hope your day goes well :)
Step-by-step explanation: