Solve the system of linear equations by elimination. 12x - 7y = -2 8x + 11y = 30
Answers
Steps:
The solutions for the the system of equations are given as x = 1 and y = 2 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given system of linear equations are as follows,
12x - 7y = -2 (1)
8x + 11y = 30 (2)
In order to solve by elimination, multiply equation (1) by 2 and (2) by 3 and then subtract to obtain,
2(12x - 7y) - 3(8x + 11y) = 2 × -2 - 3 × 30
=> -14y - 33y = -94
=> -47y = -94
=> y = 2
Substitute y = 2 in equation (1) to get,
12x - 7 × 2 = -2
=> 12x = -2 + 14
=> x = 12/12 = 1
Hence, the given system of linear equations is solved by elimination to give x = 1 and y = 2 respectively.
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Related Questions
Point M lies between Points A and B. If AB=12 and AM=7, what is the length of MB?
Answers
Answer:
AB= 12
since M is in the middle
AM + MB = 12
or 7 + MB = 12
MB= 12-7=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
AM + MB = AB
So, AB - AM = MB
Substituting, 12 - 7 = 5
5/9 × 9/5 × 23/3 =? HELP ME PLZZZ
Answers
Answer:
7.666666667 (non-terminating)
when half of a number is decreased by 24, the result is 95.
Answers
the answer is 50%
there u go
Directed line segment porque is shown on the coordinate plane. What are the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1)?
Answers
Answer: (2,3).
Step-by-step explanation:
We need to find the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1).
Let the point be A.
[tex]PA:PQ=1:3[/tex]
[tex]PA:AQ=PA:(PQ-PA)=1:(3-1)=1:2[/tex]
It means the point A divide the segment PQ in 1:2.
Section formula: If a point divide a segment is m:n.
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
[tex]A=\left(\dfrac{1(-2)+2(4)}{1+2},\dfrac{1(1)+2(4)}{1+2}\right)[/tex]
[tex]A=\left(\dfrac{-2+8}{3},\dfrac{1+8}{3}\right)[/tex]
[tex]A=\left(\dfrac{6}{3},\dfrac{9}{3}\right)[/tex]
[tex]A=\left(2,3\right)[/tex]
Therefore, the required coordinates are (2,3).
What is 4(5n+7)-3n=3(4n-9)
Simplified?
Please help this us due tomorrow and I’m stuck
Answers
5n + 28 = -27
5n = -55
n = -11
What is the F”
G”
H”
J”
Answers
Answer:
F: 1, -2
G: 3, 1
H: 5, -2
J: 3, -5
Step-by-step explanation:
Hope this helps!!!
Is 0.35217534 a rational
Answers
Answer: YES
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is in integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
--------------------------------------------------------------
0.35217534
It is a terminating decimal, which fits the third point.
So it is rational.Hope this helps!! :)
50-(16 divide 2^2)+3
Answers
Answer: 49
Step-by-step explanation:
50−16/4+3
=50−4+3
=46+3
=49
1) Freddy was unhappy that his bank account was in _____, and he knew he had to get a job in order to pay his rent. *
Answers
Answer:
the answer is debt
Step-by-step explanation:
solve [tex]3x\geq -9[/tex]
Answers
Answer:
You have to divide it :
[tex]3x \geqslant - 9[/tex]
[tex]x \geqslant - 9 \div 3[/tex]
[tex]x \geqslant - 3[/tex]
7. Which number is between it and V14 ?*
A. 1.5
B. 2.5
C. 3.5
D. 4.5
Answers
Answer:
i would have to go with b or c i would choose one of those
Emily's Mom sends her into the store with $10, telling her to buy as many apples as possible. If each apple costs 80 cents. how much change (in cents) will Emily receive?
Answers
Answer:
Emily will receive 40 cents in return
POSSIBLE POINTS: 10
The total distance in inches a toy train moves varies directly with the time in seconds. In 16 seconds, the toy train moves a total distance of 272 inches.
What is the time in seconds the toy train moves when the total distance is 527 inches?
Answers
Answer:
The time in seconds that the toy train moves is 32.9375 or rounded 33 seconds.
Step-by-step explanation:
hope it helps :) brainliest pls
is 6>x a open or closed dot
Answers
Answer:
It will be an open dot.
Step-by-step explanation:
By math textbook states that if a symbol is greater than or less than, it has an open dot.
If it has greater than or less than symbol with a line under it, that means it is a closed dot.
Hope this helps!
Solve the compound inequality. −5x≤−10 or 7x−21≥14
Answers
-5x ≤ -10
Divide both sides by -5
x ≥ 2
7x - 21 ≥ 14
Add 21 to both sides
7x ≥ 35
Divide both sides by 7
x ≥ 5
What do u get when you Simplify -4x - x.
Answers
Answer:
-4x? whats the value to x?
Step-by-step explanation:
–0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4
Answers
Answer:
0
Step-by-step explanation:
Given
- 0.4(3x - 2) + [tex]\frac{2x+4}{3}[/tex] ← substitute x = 4 into the expression
= - 0.4(3(4) - 2) + [tex]\frac{2(4)+4}{3}[/tex]
= - 0.4(12 - 2) + [tex]\frac{8+4}{3}[/tex]
= - 0.4(10) + [tex]\frac{12}{3}[/tex]
= - 4 + 4 = 0
Those are the math questions I need the answers of
Answers
Answer:
1)
[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]
[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]
[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]
[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]
[tex]25\sqrt{2}[/tex]
2)
[tex]\frac{1}{5+2\sqrt{6}}[/tex]
Multiply [tex]5-2\sqrt{6}[/tex]:
[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]
Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]
[tex]\frac{5-2\sqrt{6}}{1}[/tex]
[tex]{5-2\sqrt{6}}[/tex]
a = 5, b = -2
In the Caribbean Sea, there are 15 yachts, 32 sailboats, and 8 trawlers. What fraction of the boats are sailboats?
Answers
Answer:
32/55
Step-by-step explanation:
You have to get the total number of boats first :
15 + 32 + 8 = 55
out of the 55 boats, 32 are sailboats
the fraction would be :
32/55
Hope this helps :)
is 3.21 rational or irrational
Answers
Answer: Rational
Step-by-step explanation:
3.21 is rational because it is not an infinite decimal number or a square root that is not whole.
Milk creamery charges $2 for a cup of ice cream and $0.75 for each topping (t) . Justin wants a cup of ice cream with for toppings
Answers
Answer:
$5
Step-by-step explanation:
$2 for cup
$0.75 per topping
4 toppings $0.75 a piece
4 × .75 = 3.00
$2 + $3 = $5
The expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.
Given that, Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t).
We need to find which expression best represents the situation, and how much will the ice cream cost Justin.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be addition, subtraction, multiplication, or division.
Now, the expression for the given situation is 2+0.75x
Justin wants a cup of ice cream with four toppings, so the cost of ice cream=2+0.75(4)=$5
Therefore, the expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.
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Your question is incomplete, probably the complete question/missing part is:
Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t). Justin wants a cup of ice cream with four toppings. Which expression best represents the situation, and how much will the ice cream cost Justin?
Ronald is trying to reconstruct his spending pattern from May. He knows that he had $315 in his account on May 1, but after that, his receipts and balance statements are all scrambled. Here are Ronald’s records: Date Transaction Type Amount ($) 5/25 Purchase 66 5/18 Purchase 90 5/30 Purchase 188 5/24 Deposit 151 5/22 Purchase 152 5/8 Deposit 104 5/3 Purchase 175 5/6 Purchase 82 Assuming that this is a complete, if scrambled, record of Ronald’s May spending and that any overdraft fees incurred do not affect the running total, how many times did Ronald overdraw his account in May? a. Ronald never overdrew his account. b. Ronald only overdrew his account once. c. Ronald overdrew his account twice. d. Ronald overdrew his account more than twice. Please select the best answer from the choices provided A B C D
Answers
Answer: C. Ronaldo overviewed his account twice.
Step-by-step explanation:
Just took a test on edge.
this is 7th grade math, pls help
Answers
Answer: C
Step-by-step explanation:
To find b₂, we need to use our algebraic properties to isolate b₂.
[tex]A=\frac{1}{2}h(b_1+b_2)[/tex] [multiply both sides by 2]
[tex]2A=h(b_1+b_2)[/tex] [divide both sides by h]
[tex]\frac{2A}{h} =b_1+b_2[/tex] [subtract both sides by b₁]
[tex]b_2=\frac{2A}{h}-b_1[/tex]
Now, we know that C is the correct answer.
Answer:C
Step-by-step explanation:
If ST has endpoints S(-6, -1) and T(0, 1), then the midpoint M of ST lies on the x-axis.
SOMEONE PLEASE HELP!!!
Answers
Answer:
formula: M (x1 +x2/2 , y1+y2/2 )
M(-6+0/2 , -1+1/2)
M(-6/2 , 0/2)
M=(-3,0)
Step-by-step explanation:
The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)
What is a midpoint?A midpoint is the center of two points, It lies at the same distance from the two endpoints.
The coordinates of the endpoints of a line ST are as follows:
The coordinate of S is (-6, -1)
The coordinate of T is ( 0, 1)
The midpoint of the line ST is M
The coordinates of M is given as,
M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2
x₁ = -6
x₂ = 0
y₁ = -1
y₂ = 1
The coordinates of M is,
( -6 +0) / 2 , ( -1 +1) /2
-3, 0
The coordinates of the midpoint of the line are ( -3, 0).
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What is the LCM of 81000000
Answers
Answer:
you can't there's too many 0's for it to work
Step-by-step explanation:
What would a solution to h(t) = 0 mean in this situation?
Answers
Step-by-step explanation:
is this probability question
f(x) = h•g+1
h(x)= 3(x - 1) – 2(2x + 1
g(x)= 8 + 2(x - 1)
Answers
Answer:
g = y - 1/h
h = −x − 5/x
g = 2x + 6/x
ALOT OF POINTSALOT OF POINTS ALOT OF POINTS ALOT OF POINTS ALOT OF POINTS The graph shows the motion of a train on a railroad. Which statement describing the motion of the train is best supported by the graph? Math item stem image CLEAR CHECK The train is traveling on a level surface. The train is moving at a constant positive speed. The train is not moving. The train track is straight.
Answers
Answer:
Step-by-step explanation:
2,3
Answer:
The train is moving at a constant positive speed.
Hope this helped :)
If m CGD=4x+2, m DGE=3x-5, m EGF=2x+10, find the following measures.
Answers
A concert hall has seven sections. Each section has 23 rules. Please roll has 14 seats. If the theater sells out pretty particular performance, how many people attended? If the average ticket sold for $20, how much was collected at the box office? Need to write an equation. Thanks
Answers
Answer:
The number of people that attended the performance = 2,254
Amount collected at box office = $45,080
Step-by-step explanation:
For the theater to sell out a performance, it means it was filled to the brim( completely filled)
We have 7 sections, with 23 rows each
The total number of rows will be 23 * 7 = 161 rows
Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats
Secondly we want to know how much was collected at the box office given the average ticket price
The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080