Which shows the correct first step to solving the system of equations in the most efficient manner?

3 x + 2 y = 17. x + 4 y = 19.

x = negative 4 y + 19
x = StartFraction negative 2 y + 17 Over 3 EndFraction
4 y = negative x + 19

Answers

Answer 1

Answer:

x = -4y + 19

Step-by-step explanation:

We have the two equations 3x + 2y = 17 and x + 4y = 19.

The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

We can rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

And we have just completed the first step!


Related Questions

What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?

Answers

Answer:

y = x + 7

Step-by-step explanation:

If the slope is 1, the original equation is y = mx + b, with m being 1.

Now substitute -6 and 1 for x and y and solve for b

1 = 1(-6) + b

1 = -6 + b

7 = b

Put it all together:

y = x + 7

Please solve the equation below.

2x+4=3(x-4)

Answers

Answer:

x=16

Step-by-step explanation:

[tex]\sf 2x+4=3(x-4)[/tex]

[tex]\sf 2x+4=3x-12[/tex]

[tex]\sf 2x+4-4=3x-12-4[/tex]

[tex]\sf 2x=3x-16[/tex]

[tex]\sf 2x-3x=3x-16-3x[/tex]

[tex]\sf -x=-16[/tex]

[tex]\sf \cfrac{-x}{-1}=\cfrac{-16}{-1}[/tex]

[tex]\sf x=16[/tex]

Question:-

solve the equation below :-

2x+4=3(x-4)

Answer:-

x = 16

Explanation:-

=> 2x+4 = 3(x-4)

=> 2x+4 = 3x-12

=> 2x+4 - 4 = 3x-12 - 4 (Subtract 4 on both the sides)

=> 2x = 3x-16

=> 2x-3x = -16

=> -x = -16

=> -x/-1 = -16/-1

=> x = 16

solve the following equation ​

Answers

Answer:

X= -1/3 or 4

Step-by-step explanation:

Answer:

x =-1/3 and x=4

Step-by-step explanation:

solve by factoring:

separate into two equations:

3x+1=0

8-2x=0

(when the products of factors equals zero, at least one factor is zero)

3x=-1

x=-1/3

-2x=-8

x=4

5/6+3/4+2/3 answer please

Answers

Answer:

2.25

Explanation

2/3 can be made into 4/6 then added to 5/6

Grab 5/6 and add it to 3/4, we do this by making them have the same bottom number (denominator) so we multiply 9/6 (4/6 + 5/6) by 2 (both top and bottom number) so now we have 18/12 + 4/6 so now we can make 4 be 12 by multiplying it by 3, but we need to do that to the top number as well to make it balanced, so now we have 18/12 + 9/12 and we get 27/12 or 2.25.

Are the equations m+3=-5 and m-4=-12$ equivalent?

Answers

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

Answer: yes, because they both equal x= -8

Step-by-step explanation:

m= -5 -3

calculate

= -8

m= -12+4

calculate

m= - 8

help me please
If an item is 40% off with an additional 20% off on top of the sale price, what is the percent savings?

Answers

Answer: 60%

Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%

Last month, there were `4` sunny days for every rainy day. If there were `30` days

Answers

Answer:

6 rainy days

Step-by-step explanation:

find the distance between find the distance between following points: a) M(5,4) and N(2, 3)​

Answers

Answer:

sqrt(10)

Step-by-step explanation:

[tex] \sqrt[2]{ x_{2} - x_{1}) + ( y_{2} - y_{1})} [/tex]

Does the data for Amit’s puppy show a function? Why or why not?

Answers

Answer:

no its not a function

Step-by-step explanation:

because the lines on the graph are not equal\in a straight line(the puppy is not gaining the same amount each week)

Rewrite this equation below into Slope-intercept form
y-10=2/3(x-3)

Answers

Answer:

y= 2/3x+8

Step-by-step explanation:

you add 10 to both sides then combine -2 with 10 to get 8

then 1x times 2/3 is 2/3x and -3 times 2/3 is -2

Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?

Answers

Billy has 3,618 cards
201 * 18 = 3,618
18 card per package
201 packages
3,618 cards all together

Help help help math

Answers

area of the circle is 12 inches ²

?????????????????????​

Answers

Step-by-step explanation:

Distributive property

Supply the missing reasons to complete the proof.

Answers

Answer:

????????????????????????

$20, $15,$10,$5. What is the range of allowance amounts?

Answers

Answer:

$15

Step-by-step explanation:

20-5= 15

Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.

Hope this helps :)

If i watch a movie at 7:00 pm and the movie lasts 1h 49m what time will it be when it finishes?

Answers

Answer:

it would finish at 8:49

Step-by-step explanation:

Have  a nice day :)

Answer:

it's really simple seriously, but it will end at 8:49m

Step-by-step explanation:

HELP ME WITH THIS TWO PROBLEMS
1. When I add 6 to five times my number I get 36. My mystery number is ....

2. When I add 7 to three times my number I get 43. My mystery number is....

Answers

Answer:

1) 6 & 2)12

Step-by-step explanation:

Solve the equations backwards-

1) Subtract 6 from 36, and then divide by 5.

36 = 6 + 5x

(36 - 6)/5 = x

x = 6

2) Subtract 7 from 43, and then divide by 3.

43 = 7 + 3y

(43 - 7)/3 = y

y = 12

What is the contrapositive of the statement below?
If you are in Reykjavik, then you are in Iceland.

Answers

Answer:

If you are not in Iceland, then you are not in Reykjavik.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The contrapositive of a statement is as follows:

"Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

So, for this one, we need to switch as well!

If you are in Reykjavik, then you are in Iceland.

If you are NOT in Iceland, then you are not in Reykjavik.

The answer would be D

Will give BRAINLIEST

Answers

Answer:

Quadrant 4

Step-by-step explanation:

Answer:

3rd quadrant

Step-by-step explanation:

it has the pentagon

​What is the slope of a line that passes through the points (5, 6) and (−11, 14)

Answers

Answer:

m = -1/2

Step-by-step explanation:

let me know if it helped

(too lazy to write a explanation)

plz answer!!!!!!!!!!!!!!​

Answers

Answer:

7

Step-by-step explanation:

i know

im in school rn and i dont understand this!

Answers

Answer:

[tex]33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13[/tex]

Step-by-step explanation:

[tex]33\% <\dfrac 3{10}<0.32<\dfrac 13[/tex]

Caleb decreases a number by 6 and then multiplies it by 2. He gets the same answer as
when he subtracts 8 from the original number. What is the number?
please answer!!

Answers

Answer: 4

Step-by-step explanation: If Caleb starts with 4 and subtracts 6, he'll get -2. -2 times 2, equals -4. If he starts with 4 and subtracts 8, he'll again end up with -4, meaning the original number is 4!

4-6= (-2)

-2*2= (-4)

4-8= (-4)

2x - y = 1
3x + y = 9

Answers

Answer:s

Step-by-step explanation:

Answer:

x=2  y=3

Step-by-step explanation:

309 g to 299 g increase or decrease

Answers

Im pretty sure It would be a decrease

Mr. Jones bought a piece of land for 60 000. The land increased in value by 20% in a year. The new value of the land is​

Answers

Answer:

$72,000

Step-by-step explanation:

If we take 60,000 and then take 20 percent of it, we get 12,000. Then we add 12,000 to 60,000 and it gives us 72,000.

Quadrilateral Properties
Match the properties to the shape. Properties may be used more than once and shapes may have more than one property.
MANY POINTS FOR HELPING PLEASE!!!

Answers

1. At the very top is 2 pairs of equal adjacent sides. In top left corner
I hope I helped somewhat!!

Please answer number 1 and 2.

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

1, a.) The two specific conjectures are in the first image.

1, b.) The two general conjectures are in the second image.

2, a.) Two specific conjectures for this pattern are:

The common difference between two consecutive terms is 3.And the given difference is A.P.

2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.

For finding its nth term we can use the formula: a(n) = a + (n-1) x d.

2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.

i need help on this assignment

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….
a2+b2=c2
6^2+8^2=c^2
36+64=c^2
C^2=100
C=10

A system of two equations is shown below:

Equation C: a = 2b + 7
Equation D: a = 5b − 3

What value of a can be substituted into equation D to solve the system of equations?

2b
5b
5b − 3
2b + 7

Answers

Answer:

25452664637378381234

Answer:

2b+7

Step-by-step explanation:

sorry for the dimwit who typed random numbers

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