usebthe elimination method to solve the following system of equations
4x+y=13
5x-y=5
Answers
Answer:
x = -2, y = 21
Step-by-step explanation:
Let 4x + y = 13 to be equation1 {eqn1}
and let 5x - y = 5 to be equation2 {eqn2}
Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.
Notice how the value of y is the same in both equations. That's a good sign.
But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.
So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.
You would have:
-1 * (4x + y = 13)
+1 * (5x - y = 5)
This would result in;
-4x - y = -13 (eqn3)
5x - y = 5 (eqn4)
So, just subtract eqn3 from 4
You would have;
(5x - -4x) + (-y -- y) = (-13 - 5)
9x + 0 = -18
x = -18/9 = -2
and to find y;
just substitute the value of x into any of the 4 equations. let's try equation 1
Therefore;
4(-2) + y = 13
-8 + y = 13
y = 13 + 8 = 21
Related Questions
Please help!!! 10 points for it!!
Answers
Answer:
Step-by-step explanation:
x = 180 - ((180-96)+(180-130))
x = 180 - (84+50)
x = 46°
Answer:
x = 46 degrees
Step-by-step explanation:
180 - 130 = 50
180 - 96 = 84
50 + 84 = 134
180 - 134 = 46
Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6
Answers
A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began
with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth
function f(t) = ger and give your answer to the nearest whole number. Show your work.
Need the answer ASAP
Answers
Answer: 2430 bacteria.
Step-by-step explanation:
When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:
A + (X%/100%)*A
In this case, we have A = 10 bacteria.
And X% = 200%.
Then if we start with 10 bacteria.
After one day, we will have:
10 bacteria + (200%/100%)*10 bacteria
= 10 bacteria + 2*10 bacteria = 3*10 bacteria.
After another day, we will have:
3*10 bacteria + (200%/100%)*(3*10 bacteria)
3*10 bacteria + 2*(3*10 bacteria)
3*(3*10 bacteria)
10 bacteria*(3)^2
We already can see the pattern here.
After t days, we will have:
10 bacteria*(3)^t.
This is the equation f(t) we wanted:
f(t) =10 bacteria*(3)^t
after 5 days, we will have:
f(5) = 10 bacteria*(3)^5 = 2430 bacteria.
Which of the following is a rational number?
8
91
JT
48
49
Answers
Answer:
A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction
Step-by-step explanation:
91, 49, 48, 8 are rational number
Estimate the diameter of a circle with a circumference of 80 feet
1. 12.74 feet
2. 25.48 feet
3. 40 feet
4. 50.96 feet
Answers
Answer:
2) 25.48
The diameter of the circle d = 25.48
Step-by-step explanation:
Step(i):-
we know that the diameter of a circle d = 2 r
The circumference of the circle = 2π r
Given that the circumference of the circle = 80 feet
Step(ii):-
The circumference of the circle = 2π r = 80
⇒ π (2r )= 80
⇒ πd = 80
⇒ [tex]d = \frac{80}{3.14}[/tex]
d = 25.477
Final answer:-
The diameter of the circle d = 25.477
A city’s elevation is 140.2 feet below sea level. Between which two integers does this elevation lie?
Answers
Answer:
The elevation lies between -140 and -141.
Step-by-step explanation:
The elevation lies between -140 and -141.
Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +
Answers
Answer:
h² - 10h + 25
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
Manny bought a car for $32,985. Five years later, the car was worth $19,500. Find the percent of change in the value of the car.
Answers
Answer:
is 40.9
Step-by-step explanation:
The percent of change in the value of the car is 40.88%
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.
Percentage change = (32985-19500)/32985*100 = 40.88%
Hence, The percent of change in the value of the car is 40.88%
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Find the area of the following shape:
Answers
Answer:
Step-by-step explanation:
Area:=45
Is this acute obtuse or no triangle
Answers
Answer:
Acute
Step-by-step explanation: Acute because it is less than a 50 degree angle and under that is considered an acute angle.
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.
Answers
Answer:
Step-by-step explanation:
You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.
A 16-oz bottle of parmesan cheese costs $5.78, while an 8-oz bottle costs $3.97. Which is the better buy? Round
your answer to the nearest cent if necessary.
Answers
Answer:
The 16-oz bottle is a better buy
Step-by-step explanation:
Find the better buy by finding which one has a lower price per ounce:
Calculate the price per ounce of both bottles by dividing the cost by the number of ounces
5.78/16
= 0.36
3.97/8
= 0.5
Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.
Answer:
The 16-oz bottle of parmesan cheese is the better buy.
Step-by-step explanation:
It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.
Work out the values of a and b in the identity
5(7x + 8) + 3(2x + b) ≡ ax + 13
Answers
B = ax/3-41x/3 - 9
A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the circuit can be found using the equation 30c=120 30c=120 . How many amperes of current are there in the wire?
Answers
Answer:
just divide 120 divided by 30 is 4 I know it right bc I had the same question on into math if thats what you were on
Step-by-step explanation:
Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive
Answers
Answer: 3 cents
Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.
© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =
Answers
HOPE IT HELPS!!! :D
I NEED HELP ( WILL GET BRAINLYIST FOR CORRECT ANSWER)
Answers
Answer:
36 units.
Step-by-step explanation:
Aleesia has a box of 52 muffins. she wants to put out plates that each have the same numbers of muffins. what is one possible way Aleesia could put an equal number of muffins on each plate so there are no muffins left over?
Answers
Just see what even number 52 can go into
answer quick please
Which sentence can be represented by the equation 5 m=15?
The sum of 5 and a number is 15.
Three-fifths more than a number is 15. Three-fifths times a number is 15. 3
The quotient of Ğ and a number is 15.
Answers
Answer:
the answer is c
Step-by-step explanation:
Three-fifths times a number is 15.
A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field
Answers
Answer:
it is 679
Step-by-step explanation:
QUICK I NEED THIS FOR MATH ITS DUE 2/2/21
what is the area of a parrallelogram that has a base of 12 3/4 and a width of 2 1/2?
Answers
Answer
31 7/8
Step-by-step explanation:
12 3/4 x 2 1/2=51/4 x 5/2
Cali bought a sweater priced a $60. If the sales tax is 9% what is the total purchase price of the sweater?
Answers
Answer:
65.4
Step-by-step explanation:
60*.09 = 5.4
60+5.4 = 65.4
Danielle worked at the warehouse after school. She earned $9.25 per
hour stacking boxes. The total earnings, e, is dependent on the
number of hours worked, h. Which equation correctly represents the
situation?
Oe= 9.25h
Oh=9.25e
od=
9.25
h
Oh=
9.25
d
Answers
There is a rope hanging from the top of a pole with 3 feet of it lying on the ground. When it is tightly stretched, so that the end just touches the ground, it reaches a point 8 feet from the base of the pole. How long is the rope
Answers
Answer:
length of rope [tex](P+3) =12.167[/tex]
Step-by-step explanation:
From the question we are told that
Length of rope on Ground [tex]L_1=3 feet[/tex]
Length of rope from pole base when stretched [tex]L_2=8feet[/tex]
Given length of pole as P
length of the rope is therefore given by
[tex]P+3[/tex]
Generally the Pythagoras theorem is mathematically given by
[tex]P^2+8^2=(P+3)^2[/tex]
[tex]P^2+64=P^2+9[/tex]
[tex]P=9.167[/tex]
Therefore
length of rope [tex]P=9.167[/tex]
length of rope [tex](P+3) =9.167+3[/tex]
length of rope [tex](P+3) =12.167[/tex]
Multiplication And Divisin Fact Families ,Will Mark Brainliest
Answers
Answer:
1) 56, 56, 56, -7
2) -1, -1, -1, -1
3) -7, 5, -35, -7
4) -4, -8, -4, -8
5) -21, -21, -21, -7
6) 10, -50, -5, -5
7) 48, 48, -4, 48
8) 6, -2, -2, -2
Step-by-step explanation:
Do I really have to explain? lol
Hope this helps.
is -3 or 2 a higher slope? ( please help fast will give brainliest and thanks!!!!! 100 points help pleaseeeeee!!!!)
Answers
Answer:
ANSWER IS -3
Step-by-step explanation:
HOPE THIS HELPS
ANSWER IS -3
have a good day
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
Answers
Answer:
see belowStep-by-step explanation:
to understand thisyou need to know about:algebraPEMDASlet's solve:given function:
[tex] \quad \rm\: f(x) = - 2x +8[/tex]
when x is 0
[tex] \sf \:f(0) = - 2.0 + 8[/tex]
simplify multiplication:
[tex] \sf f(0) = 8[/tex]
when x is 3
[tex] \sf f(3) = - 2.3 + 8[/tex]
simplify multiplication:
[tex] \rm \: f(3) = - 8 + 8[/tex]
add:
[tex] \rm \: f(3) = 0[/tex]
when x is 6
[tex] \quad \rm\: f(6) = - 2.6 +8[/tex]
simplify multiplication:
[tex] \quad \rm\: f(6) = - 12 +8[/tex]
simplify addition:
[tex] \quad \rm\: f(6) = -4[/tex]
when x is 9:
[tex] \quad \rm\: f(9) = - 2.9 +8[/tex]
simplify multiplication:
[tex] \quad \rm\: f(9) = - 18 + 8[/tex]
simplify addition:
[tex] \quad \rm\: f(9) = - 10[/tex]
Answer:
when x =0
f(x)=-2×0+8=8
when x =3
f(x)=-2×3+8=2
when x =6
f(x)=-2×6+8=-4
when x =9
f(x)=-2×9+8=-10
2.5×10³ times what number is equal to 5×10⁶?
Answers
Step-by-step explanation:
2500x=5000000
2500x/2500=5000000/2500
x=2000
I think the answer is this
Drag each expression to show whether it is equivalent to 6(4x−1), 24x+6, or (4⋅6x)+(4⋅2) somebody please help me i need to get this right
Answers
1.We have to find equivalent expression of ⇒ 54 x+18
These are the equivalent expression of
=3×3×3×2× x+3×3×2
=3×3×2×(3 x+1)
=18×(3 x+1)
2.⇒Equivalent expression of→ 18×(3 x-1)
=18× 3 x -18------[Using commutative property of Multiplication with respect to subtraction)
=54 x-18
3.⇒Equivalent expression of→6×9 x+ 6×1
=54 x +6
⇒Option B
6×9 x +6×3-------equivalent expression of →54 x+18
⇒Option C
54 x+6-------equivalent expression of →6×9 x+ 6×1
⇒Option D
3×(18 x+2)------equivalent expression of →6×9 x+ 6×1
⇒Option F
9×6 x -9×2-------equivalent expression of → 18×(3 x-1)
(credit to: not me-)
Answer:
wrong question i'm sorry, but I can't delete this lol so here's my question :(
Drag each expression to show whether the expression is equivalent to 12x−6, 24x+12, or neither.
The distance from Salvador’s job to his house is three times greater than the distance from his house to the school. If his house is between his job and the school and the distance from his job to the school is 6 miles, how far is it from Salvador’s house to the school?
SHOW YOUR WORK pls and ty
Answers
Answer:
His school is 1.5 miles away :)
Step-by-step explanation:
6/4 = 1.5 miles
1.5 miles means his house is 1.5 miles from his school
Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.
4.5 + 1.5 = 6 miles
The distance between Salvador's house and his school is 1.5 miles
Let :
Distance from house to school = dTherefore;
Distance from job to house = 3dThen ;
Distance from job to school = 6 milesSince, house is in between job and school :
Distance from job to school = d + 3d 6 miles = 4d d = 6 ÷ 4 = 1.5 milesThe distance from house to school = d ; hence, distance between his house and school is 1.5 miles.
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