Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)
Answers
An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be done in the following manner.
2x+3y=6
3x+5y=10
Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,
[tex]2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}[/tex]
Now, substitute the value of x in the second equation,
[tex]3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2[/tex]
Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.
[tex]2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0[/tex]
Hence, the ordered pair which is the solution of the system of linear equations is (0,2).
Learn more about Equation:
https://brainly.com/question/2263981
Related Questions
Kenny and Dee Dee purchased 400 shares of Fly-By-Night stock 3 years ago. They initially paid $6,846
for the stock. Last week they sold the stock at $40. 25 per share. The brokers sales commission was
3. 2%
Answers
Answer: Im not sure
Step-by-step explanation:
don’t even pay attention to this
If f(x) = mx² - 6x - 3 and f'(1) = 12. find the value of constant in (a) 9 (b) 3 (c)-3 (d) -4
Answers
Answer:
a) 186
b) 6
c) 42
Step-by-step explanation:
[tex]f(x) = m {x}^{2} - 6x - 3[/tex]
f'(1) = 12
f'(x) = 2mx - 6
12 = 2(1)m - 6
12 - 6 = 2m
[tex] \frac{2m}{2} = \frac{6}{2} [/tex]
[tex]m = 3[/tex]
[tex]f(x) = 2 {x}^{2} - 6x - 3[/tex]
a)
f(9) = 3( 9)^2 - 6(9) - 3
f(9) = 186
b)
f( 3) = 3( 3)^2 - 6( 3) - 3
f(3) = 6
c)
f( - 3) = 3( - 3)^2 - 6( - 3) - 3
f(-3) = 42
What does u equal in 4/5u=8
Answers
Answer:
u = 10
Step-by-step explanation:
Solve for u by simplifying both sides of the equation, then isolating the variable.
It gives 40u then dividing both sides by 40 it gives 1/10
The sum of 9 times a number and 8 is 2
Answers
Answer:
where is the question?
Step-by-step explanation:
which of following is the algebraic form for the verbal statement shown?
13 more than the product of 4 and a number, n
n/4 +13
4n+ 13
4(n+13)
13(n+4)
Answers
Answer:
Hello! The answer to your question seems to be 4n + 13
Step-by-step explanation:
Hope this helps, don't forget to give me the shiny gold crown! Have a good day ^-^
Find f(–2) for the function f(x) = 3x2 – 2x 7. −13 −1 1 23
Answers
Answer:
16
Step-by-step explanation:
f ( x ) = 3x² - 2x
To find : f ( - 2 )
f ( - 2 ) = f ( x )
Here,
x = - 2
f ( - 2 ) = 3 ( - 2 )² - 2 ( - 2 )
= 3 ( 4 ) - 2*( - 2 )
= 3*4 + 4
= 12 + 4
f ( - 2 ) = 16
Help help help !! Only answer if you know the answer !!!
Answers
Answer:
B.
Step-by-step explanation:
5-2+2=5; -8+9+6=7;
3-1+5=7; 0-0+4=4.
finally, the result matrix is:
[tex]\left[\begin{array}{ccc}5 \ 7\\7 \ 4\end{array}\right][/tex]
please huryyyyyyyyyyy!!!!!!!!!!!!!
Answers
Answer:
do you hvae more imformation
Step-by-step explanation:
Calculate 9[divided]1/3
A.9/3
B.3/9
C.13 1/2
D.27
Please help me.
Answers
Answer: I believe the answer would be B
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \:9 \div \frac{1}{3} [/tex]
[tex]\qquad \tt \dashrightarrow \:9 \times3[/tex]
[tex]\qquad \tt \dashrightarrow \:27[/tex]
so, the correct choice is D. 27
Misty needs 216 square inches of metal
to make a yield sign.
If the height of the sign is 18 inches,
how long is the top edge of the sign?
24 inches
12 inches
198 inches
22 inches
Answers
Answer:
24
Step-by-step explanation:
Area = 216
The area of triangle = 1/2 b * h
Since height = 18 --> 1/2 b * 18
so,
216 = 1/2 b * 18
Divide both sides by 18
12 = 1/2 b
Divide both sides by 1/2, (which is the same as multiplying both sides by 2)
24 = b
Answer:
24 inches
Step-by-step explanation:
Given:
[tex]\bullet \ \ \text{Height of sign: 18 inches} \\ \bullet \ \text{Area of Yield sign: 216 inches}^{2}[/tex]
The yield sign shown here is a triangle. Therefore, the question is asking to find the base of the triangle. Keep in mind that the area of a circle is 1/2 multiplied by the base multiplied by the height.
[tex]\implies \text{Area of yield sign} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the height and the area in the equation and simplify.
[tex]\implies \text{216 inches}^{2} = \dfrac{1}{2} \times \text{Base} \times 18[/tex]
[tex]\implies \text{216 inches}^{2} =\text{Base} \times 9[/tex]
Divide both sides by 9.
[tex]\implies \dfrac{\text{216}}{9} =\dfrac{\text{Base} \times 9}{9}[/tex]
[tex]\implies24 \ \text{inches} =\text{Base}[/tex]
If a circle is equally divided into 6 angles, what is the measure of each angle?
Answers
Step-by-step explanation:
The answer is 60°
because
360÷6 = 60
write an essy explaining the importance of tolerance in society
Answers
Answer:
Tolerance is needed in all spheres of life, and on every level and in every stage because it plays a vital role in establishing peace and love in all the units of society, from the smallest up to the highest. Lack of tolerance leads to violence, and finally it destroys the peace and security of society.
Step-by-step explanation:
L=9m + 2n. Work out the value of L when m = 3 and n = -6
Answers
Answer:
L= 15
Step-by-step explanation:
L= 9m + 2n Given Equation
L = 9 (3) + 2 (-6) Substitute values for their variables
L= 27 + 2 (-6) Simplify multiplication
L= 27 -12 Simplify multiplication (remember a positive times a
negative is a negative)
L= 15 (Simplify)
9. Blake is putting carpet in a large
room. He has enough carpet to cover
50 square meters of floor. If Blake
first decides on the length of the
rectangle he's going to cover, the
equation below will tell him what the
width of the rectangle can be.
Answers
The equation that will tell him what the width of the rectangle can be is w = 50m² / length.
What equation represents the width of the rectangle?
A rectangle is a 2-dimensional quadrilateral with four equal right angles. A rectangle has two diagonals that are equal in length and bisect each other.
Area of a rectangle = length x width
Width = area / length
width = 50m² / length.
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449
If you drew a marble from one of the bags below, which bag would give you an equally likely chance of drawing a red or a blue marble?
a bag with 6 red and 19 blue
a bag with 8 red and 9 blue
a bag with 13 red and 13 blue
a bag with 15 red and 14 blue
Answers
Answer:
The bag with 13 red 13 blue, because there is a 50% chance of getting a red or a blue
Andrew earns an allowance of $4 the first week, $17 the next week, $30 the following week, and so on. How much will Andrew earn over the course of 12 weeks?
Answers
Answer:
204
Step-by-step explanation:
4+17=21
21+30=51
51:3
÷ 3
17:1
x 12
204:12
PLEASE HELP WILL GIVE BRAINLIEST
Answers
Answer: Definition of midpoint
Step-by-step explanation:
Answer:
defintion of midpoint
Step-by-step explanation:
that is the proof
1. Use is less than, is greater than, or = to compare the ratios. Show your work.
(a) 5 colon 8 and 7 colon 10
(b) 9 over 6 and 36 over 24
Answers
explanation: divide
A
trapezoid
triangle
square
circle
is the only plane shape in which every point on the figure is the exact same distance from the center.
Answers
helpppp meeeeeeeeeee
Answers
Answer:
14 is tha answer lmk if it's wrong or righ
Step-by-step explanation:
i need help 9th grade math
Answers
Answer:
I have reason to believe its a
Step-by-step explanation:
Easy 9nth grade math :)
12 = x - 24
I think know the answer but I’m unsure of how to do it
Answers
Answer:
36
Step-by-step explanation:
you have to isolate your variable. To do this, you add 24 to each side. On the left side its 12+24 and on the right, its 24+(-24) which then equals zero. In simple terms, x=12+24
Answer:
x = 36
Step-by-step explanation:
Add 24 to 12 because 24 is minus, so when it is moved to the other side of the equation it is plus.
1. A small box in the shape of a cube for packaging has a volume of 64 cubic inches.
(a) For a medium box, the length, width, and height are all doubled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.
(b) What is the volume of a medium box? Show your work.
Answers
Answer:
b) the volume is 512"^3
a) the side and base ratio is 16/64 1/4
the volume ratio is 64/512 1/8
Step-by-step explanation:
the small boxes dimensions are 4 by 4 by 4
the base and sides are 16"^2
the volume is 64"^3
the medium boxes are 8 by 8 by 8
the base and sides are 64"^2
the volume is 512"^3
the side and base ratio is 16/64 1/4
the volume ratio is 64/512 1/8
Function 1 is defined by the following table
x. Y
0. 8
3. 12. 5
4. 14
6. 17
Function 2 is defined by line H
Answers
Answer:Function 2
Step-by-step explanation:
Please Help i’m stuck on this math problem
Answers
Step-by-step explanation:
i tried to give the answer good luck you all
What is the percent of decrease from 2.2 to 2.2?
Answers
Answer:
0
Step-by-step explanation:
(2.2-2.2):2.2*100 =
(2.2:2.2-1)*100 =
100-100 = 0
find six rational number between –1 and 0
Answers
Answer:
Answer. so -7/8, -6/8, -5/8, -4/8, -3/8, -2/8 are the six no.
Step-by-step explanation:
Isaac bought snacks for his team's practice. He bought a bag of chips for $2.94 and a 8-pack of juice bottles. The total cost before tax was $16.62. How much was each bottle of juice?
Answers
Answer:
$1.71
Step-by-step explanation:
Just took the test.
The cost of each juice bottle is $1.71.
Let, the cost of each juice bottle as "x".
Given:
Cost of chips = $2.94
Total cost before tax = $16.62
Isaac bought an 8-pack of juice bottles, so the total cost of the juice bottles is 8x.
The total cost of chips and juice bottles should be equal to the total cost before tax:
Cost of chips + Cost of juice bottles = Total cost before tax
$2.94 + 8x = $16.62
Now, solve for "x" the equation:
8x = $16.62 - $2.94
8x = $13.68
Divide both sides by 8:
x = $13.68 / 8
x = $1.71.
So, the cost of each juice bottle is $1.71.
To learn more on equation click:
https://brainly.com/question/14468218
#SPJ3
What whole number does Square Root 48 fall between?
Answers
Number 4.
Four is a linear, it is the first composite number, as well as the first non-prime number (after 1 of course).
Please help me!! I don't understand how to do this
Answers
Answer:
76 feet^3
Step-by-step explanation:
Well, since s is showed three times on the large box, we can say they are all the same lengths. So, if one side is 4 feet long, then all side length, are 4. So, 4*4*4. This gets us 64.
So the large box's volume is 64, and the small one, is 12. The total volume is them added. 64+12. This gets us 76.
The answer is 76 feet^3