3) Solve this system using elimination method. Upload your work
8x + 14 y = 4
-6x - 7y=-10

Answers

Answer 1

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!


Related Questions

Please help!!!!! (worth 45 points)

Answers

Answer:

5 + (-5) and 8 + (-8)

Step-by-step explanation:

Sum of zero means when you add them you get 0

so the others are wrong

-5 + (-5) = -10 because you have -5 and you add another -5

-12 + (-12) = -24 you start with -12 and you add another -12

Think of positive and negative numbers like floors in a building. Positive numbers are the stories and the negative numbers are the basement and sub-basement, zero is the ground level. So for 5 + (-5) you go up 5 floors, then you go down 5 floors. you end up on the ground level, 0.

hello what is 100^4
pls help asap my homework

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Solution ~

[tex]100 {}^{4} [/tex]

[tex]100 \times 100 \times 100 \times 100[/tex]

[tex]100000000[/tex]

or it can also be expressed as ~

[tex]10 {}^{8} [/tex]

[tex]1 {0}^{8} \\ \\ hope \: \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]

A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (approximate to the nearest hundredth foot. ) 8. 86 feet 8. 87 feet 8. 88 feet 8. 89 feet.

Answers

Answer:

8.89 feet

Step-by-step explanation:

[tex]\sqrt{79}[/tex] = 8.888, rounded to nearest hundredth would be 8.89

Color the star BLUE if the statement is true and RED if false


pwede p yong tamang answer hehe..bukas na kasi parasahan​

Answers

Answer:

RED

BLUE

BLUE

RED

BLUE

MARK ME BRAINLIEST PLSSS

What expression is equivalent to tje alegbraic expression

2n-n

Possible Answers


n+2
2n+2

n
3n

Answers

Answer:

n

Step-by-step explanation:

2n - n ← factor out n from each term

= n(2 - 1)

= n × 1

= n

Write the given expanded form into the standard form of a number.

4
4
T-Th + 5
+

5
T + 1
+

1
H-Th + 9
+

9
O + 3
+

3
M + 7
+

7
Th

Answers

Answer

44,005 + 5,001+ 100,009 + 93 + 3,000,007+ 7,000

Step-by-step explanation:

Help me pleasee asap !!

Answers

Answer:

F = 110°

I'm not sure, but since no one answered, here it goes...

Step-by-step explanation:

∵ FD = FE (Given in Diagram)

∴ ΔDFE is isosceles , ∴m∠E = m∠D

1 ) 3x  +  14  =  5x

   14  =  5x  -  3x

   14  =  2x

   14 / 2  =  x

   7  =  x  

m∠E = 3*7 + 14 = 35°

m∠D = 5*7 = 35°

m∠F = 180 - (35+35)

m∠F = 110°

Find the value of x

A. 56° B. 66° C. 809 D. 130°​

Answers

Answer:

B.66

hope this helps you!!

Select the interval where h(c) < 0.
A) -3 B)2 C)4

Answers

Answer:

Option C: 4

Hope this helps!

Item 4
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.

What was the gopher's original position, p, relative to the surface?

Enter your answer in the box to complete the inequality.

Answers

Answer:

<-2

Step-by-step explanation:

i took the test

Answer:

<-2

Step-by-step explanation:

k12

all quiz answers for a crown!

The question is written on the image

Answers

Answer:

I have attached the answer below.

Step-by-step explanation:

The diagram which has red ink cannot take a perfect feeding path.

Hopefully this helps.

I need help with these two questions!! HELP

Answers

Answer:

AB and GF are skew

DH and BF are II

EF and HG are skew

ABCD and EFGH are II

Step-by-step explanation:

II is parralell or side by side.

Skew would be like intercepting with one another.

Have an awesome day! :D

your internet provider offers two different plans. One plan costs $.02 per email plus a $9 monthly service charge. the other plan costs $.05 per email with no service charge.

Answers

Answer:

Step-by-step explanation:

y=.02x+9 - First Part

y=.05x     - Second Part

14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer

Answers

$6.25 jdhdhdhdhdhdbrr

Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle

Answers

Answer:The juice left in bottle is 0.5 litre

Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.

(7+7b)+(-2+8c)+(1+5d)

Answers

Answer: 7b + 8c + 5d + 6

Step-by-step explanation:

1) (7+7b)+(-2+8c)+(1+5d)

combine like terms (starts with the ones with variables)

2) 7b + 8c + 5d

now all you need to do is add the numbers without variables

3) 7b + 8c + 5d + (7 + -2 + 1)

4) 7b + 8c + 5d + 6

On a sunny day, Michelle and Nancy noticed that their shadows were different lengths. Nancy measured Michelle's shadow and found that it was 24.0 inches long. Michelle then measured Nancy's shadow and found that it was 13.5 inches long.

Answers

Answer: Whats the catch? Its just telling how long their shadows are. Are you missing a part of the problem? If yes, 24.0 (michelle) is 10.5 inches longer than nancy’s shadow (13.5) Or if you have to find the total, 24.0 + 13.5 = 37.5 inches.

For a Brainly please help me out

Answers

Answer:

y = –(1/2)x + 7

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

When the slope is the same the lines are parallel

here the slope is –1/2

therefor

y = –(1/2)x + 7 is parallel

Will give brainliest!

Answers

Answer:

1.) 1 1/3

2.) 6/7

Step-by-step explanation:

1.) 16/12 = 4/3 = 1 1/3

2.) Add the numerators if the denominators are the same already

Answer:

1. 1 1/3

2. 6/7

3. 1 1/4

Step-by-step explanation:

For the first one, the question is to reduce 16/12. So we need to see how many 12's there are in 16 --> 1. Because 16 - ( 12 · 1 ) = 4. We can't fit another 16 in four! Therefore the answer is 1 4/12 because the remainder that we solved above is 4. It can be simplified to 1 1/3.

5/7 + 1/7 is 6/7 because the denominator of the fractions are the same all you have to do is add the numerators together and leave the denominator 7:

5         1          6

----- + ------  = -------

 7       7           7

To reduce 25/20 all you have to do is see how many 25's are in 20. Which is 1. 25 - ( 20 · 1 ) = 5. But there is still 5 left over so it would be: 1 5/20. Which can be simplified as 1 1/4

HOPE THIS HELPS :)

List the first six common multiples of 6 and 9

Answers

Answer:

The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )

Write three consecutive multiples of 13 in a general form.

Answers

Answer:

answer given in step by step...

Step-by-step explanation:

13x+13(x+1)+13(x+2)=312

13x+13x+13+13x+26=312

39x+39=312

39x=312-39

39x=273

x=7

first number=13x=13*7=91

second number=13(8)=104

third number=13(9)=117

9lb. 11oz. - 3lb. 11oz. =

Answers

Answer:

6lb

Step-by-step explanation:

9lb - 3lb = 6lb

11oz - 11oz = 0oz

Which general rule should you follow as you collect variable terms on one side of an equation?

Answers

Answer:

You should always Use addition or subtraction to separate the variable on one side of a equation.

Step-by-step explanation:

Cuanto le mide a messi la tula ?

Answers

Answer:

5’7”

Step-by-step explanation:

te refieres a lionel messi? el mide 5'7 ".

Perdon, mi español no es muy bueno :)

I will give BRAINLIEST plz help

Answers

Answer:

-0.37

-2.86

0.91

0.19

1.46

Step-by-step explanation:

find the gradient and y- intercept of the line with equation 2x+3y-7=0

Answers

Answer:

Gradient = -2/3

y-intercept = 7/3

Step-by-step explanation:

Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept

2x + 3y = 7

3y = -2x + 7

y = -2/3x + 7/3

Can someone help me with this question

Answers

Answer:

A. x=-2

Step-by-step explanation: your welcome

Jane lives on a straight road that goes east and west. She starts from a point 6.3 miles west of her home and drives a certain distance to the store. The store is more than 4 1/2 miles east of her home.
Let d represent the distance Jane drove. Which inequality represents this situation?
−6.3+d≥−4 1/2
−6.3+d>4 1/2
−6.3+d>−4 1/2
−6.3+d≥4 1/2

Answers

The inequality that represents the situation is as follows (where d

represents the distance Jane drove):

−6.3 + d > 4 1/2

She lives on a straight road that goes east and west.

d = distance Jane drove.

She started from a point 6.3 miles west of her home and drives a certain distance to the store.  Therefore,

She drives

-6.3 + d

The store is more than  4 1/2 miles east of her home. Therefore,

- 6.3 + d > 4 1/2

read more: https://brainly.com/question/25658107?referrer=searchResults

Answer:

Hope this helps!

Write 41. 287 to 1 decimal place​

Answers

41.3 is the answer to this question

help lol

The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.

Answers

The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.

What is FOIL method?

FOIL is the standard method of multiplying two binomials.

The word FOIL is an acronym for the four terms of the product:

First (“first” terms of each binomial are multiplied together)Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)Last (“last” terms of each binomial are multiplied)

We try to explain this using an example.

[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]

Learn more about FOIL method here

https://brainly.com/question/27785127

#SPJ2

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