7x + 8y = 25 9x + 10y =35 elimination method please​

Answers

Answer 1

[tex]7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 = \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\[/tex]

[tex]\\\text{Hence}~ (x,y) = (15,-10)[/tex]


Related Questions

Find the domain of the function.




f(x) = -5x + 3

Answers

Answer:

-infinity < x < infinity

Step-by-step explanation:

The function is linear and is infinitely long in either direction.

y varies jointly as x, z, and w. when x=2, z=1, and w=12, then y=72. find y when x=1, z=2, and w=3

Answers

ANSWER: 18


EXPLANATION:

y=kxzw

where k is a constant
Making k the subject of the formula, we have

k=y/xzw

Inputting the values

k= 72/(2)(1)(12)

k=72/24

k = 3

Solving for y when x=1,z=2 and w=3

We have


y=kxzw

y = (3)(1)(2)(3)

y = 18

Find X for brainiest

Answers

Answer:

136°

Step-by-step explanation:

Look at the attached paper for the steps.

Answer:

136°

Step-by-step explanation:

In quadrilateral ABCD,

[tex]m\angle A = 180\degree - 107\degree = 73\degree[/tex](Angles in linear pair)

[tex]m\angle B = 61\degree [/tex](Vertical Angles)

[tex]m\angle C= 90\degree [/tex](Given)

[tex]m\angle A +m\angle B+m\angle C+m\angle D= 360\degree[/tex](Interior angle sum postulate of a quadrilateral)

[tex]73\degree +61\degree+90\degree+x= 360\degree[/tex]

[tex]224\degree+x= 360\degree[/tex]

[tex]x= 360\degree-224\degree[/tex]

[tex]x= 136\degree[/tex]

A 11 foot ladder is placed against a building. If the base of the ladder is 7 feet away from the building, how far up the building will the ladder reach? Round the answer to the nearest tenth.

Answers

Check the picture below.

(x-3)(2x+1) Can someone help me on this please

Answers

2x^2-5x-3

This is the answer I believe, I apologize if it’s incorrect

2x - 5y = 6 and -2x + 7y = 14

*Using elimination*​

Answers

2x-5y+ (-2x) + 7y= 6+14
2y = 20
y= 10
2x-5(10)=6
2x= 56
x= 28
here is the ans.hope this helps!

a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.

Answers

If the amount of water is more than 1 gallon it would take more cups to measure the amount of water

A table is on sale for 32% off. The sale price is $459.
What is the regular price?

Answers

the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675[/tex]

$675 is the regular price. $459 is 68% of the original price. (100-32=68). To find the original price you would do 459 divided by 0.68 and would get 675. To check that you would do 675 times 0.68 and would get 459. I hope this helps

Let
f
and
g
be defined by
f
:
x

3
x

1
)

a
n
d
\(
g
:
x

2

5
x
. Find
f
o
g
(
2
)

Answers

Answer:

Solution

verified

Verified by Toppr

f,g:R→R is defined as

f(x)=x+1

g(x)=2x−3

Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2

∴(f+g)(x)=3x−2

Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4

∴(f−g)(x)=−x+4

(

g

f

)(x)=

g(x)

f(x)

,g(x)

=0,x∈R

∴(

g

f

)(x)=

2x−3

x+1

,2x−3

=0 or 2x

=3

∴(

g

f

)(x)=

2x−3

x+1

,x

=

2

3

find the equation of a line in slope-intercept form, containing the points (9,2.6) and (8,2.2).

Answers

the equation in slope-intercept form would be y = 0.4x - 1

hope this helps!!

If there are 42 boys and 30 girls in a room
Ratios

Answers

42 / 6 = 7

30 / 6 = 5

7 boys and 5 girls on each of 6 teams.

Note, this is the minimum number of boys and girls on a team.

There could be 70 boys and 50 girls on each of the 6 teams.

Or even 7000 boys and 5000 girls.

Ratio does not provide an specific number only the relation between two quantities


A soccer goalpost is to be made of 40 feet of
Jumber. The school has 27 feet. How much
umber should be purchases?

Answers

Answer:

13 more should be purchased.

40-27=13

Choose which diagram

Answers

I assume it’s D but I’m not sure.
D because the lines match and all on how it mentions on the questions
Yeah it has to be D,hopefully it is

40 out of 50 birds are female. total number of birds is 1,120, how many of them would be female

Answers

Answer:

896

Step-by-step explanation:

40/50 = 80%

80% of 1120 is 896

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Fertilizer puts nitrogen into the soil, so using fertilizer puts more nitrogen into the carbon cycle.

When you use fertilizer, its because a certain plant you are planting uses all the nitrogen in the soil, so it won't grow next time. Too much fertilizer, though, would burn up your plant (not literally). Some plants put their own nitrogen into the soil. I can't think of one off the top of my head, but I believe potatoes do. Anyways, this is where crop rotation came into play.

Things like corn take a lot of nitrogen, so the next time you had to plant whatever plant potatoes, which again may be wrong, in order to get nitrogen for the corn to grow next season. Today we have fertilizer, so we can give them nitrogen while they grow, instead of putting in other plants, taking more time.

So really, it doesn't do much, because your plant takes all the nitrogen that the Fertilizer adds.

Answer:

People have been converting atmospheric nitrogen into nitrogen fertilizers and then applying the fertilizers to plants in to grow more crops. This has previously been quite effective, allowing individuals to farm on previously unproductive lands, and provide adequate food for expanding populations of people. Unfortunately, fertilizers are frequently overused, which can lead to issues.

Nitrogen from fertilizers excretes into soils, typically promoting the growth of weeds rather than native vegetation. Nitrogen then washes into streams, resulting in a nutrient overload, a phenomenon known as eutrophication.

Eutrophication causes aquatic weeds to proliferate excessively in freshwater lakes. These aquatic weeds  occasionally occupy entire lakes, streams, or rivers. Green algae cloud the water, and gooey algal slime covers the shallow rocks. 

When nitrogen-rich waters flow down into the ocean, they worsen the situation. High nitrogen concentrations in the Mississippi River Delta have generated a 'dead zone' where the water flows into the Gulf of Mexico. This has occurred every summer for over 30 years. In 2001, this dead zone, where oxygen levels are too low for species to thrive, encompassed over 8000 square miles of water. It occurs when nitrogen in the water enables algae to quickly grow out of control.

Step-by-step explanation:

Great article to look at for more information -

https://www.nytimes.com/2017/07/27/climate/nitrogen-fertilizers-climate-change-pollution-waterways-global-warming.html

What is the coefficient of x in expression of 5mx​

Answers

Coefficient of this expression is 5 only.

- BRAINLIEST answerer

ABC ≃DEF. Find the lengths of the given sides

Answers

Answer:

BC = 8 and EF = 8.

Step-by-step explanation:

Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).

Set BC and EF equal to each other.

x + 6 = 3x + 2

Subtract x from both sides.

6 = 2x + 2

Subtract 2 from both sides.

4 = 2x.

Divide 2 on both sides.

x = 2.

Substitute 2 for x.

BC = 2 + 6

BC = 8

Since we already know that EF is congruent to BC, EF is also 8.

EC = 3(2) + 2

EC = 6 + 2

EC = 8

Given: measure 1, measure 2, measure 3, and measure 4 formed by two intersecting segments Prove: measure 1 and measure 3 are congruent. NEED HELP ASAP!!​

Answers

Step-by-step explanation:

Note:

The text below that are formatted in bold and underlined font are the solutions to the missing boxes in your given problem.  

Explanation:

Given that ∠1, ∠2, ∠3, and ∠4 are formed by two intersecting segments, and that:

∠1 and  ∠2 form a linear pair  

∠2 and ∠3 form a linear pair  

These linear pair relationships suggest that by the Linear Pair Postulate:

∠1 and ∠2 are supplementary.    ⇒  Linear Pair Postulate

∠2 and ∠3 are supplementary.    ⇒  Linear Pair Postulate

m∠2 + m∠ 3 = 180°  ⇒  Definition of supplementary angles.

m∠1 + m∠3  = m∠2 + m∠ 3  ⇒  Substitution Property of Equality.          

m∠1  =  m∠3   ⇒  Subtraction Property of Equality.  

Six less than the product of 8 and a number equals 2

Answers

Answer:

unknown number = 1

Step-by-step explanation:

Let the unknown number be x.

(8×x)-6=2

   8x-6=2

       8x=2+6

           =8

         x=8÷8

           =1

Hence, unknown number = 1.

Suppose you are traveling the world and want to visit Africa this month. The probability that you go to Africa is 23%. When you get to Africa, you can relax at a bar, a pool, or in your hotel room. The probability you relax at a bar is 19%. Assuming traveling to Africa and relaxing at a bar are independent events, what is the probability that you travel to Africa and relax at a bar? Round to the nearest thousandths

Answers

Answer:

   0.044

Step-by-step explanation:

The joint probability of independent events is the product of their individual probabilities.

  P(bar & Africa) = P(bar)×P(Africa) = 0.19×0.23 ≈ 0.044

Answer:

Step-by-step explanation:

Element present in a sucrose molecule

Answers

Answer:

Carbon, hydrogen and oxygen

Step-by-step explanation:

Hope it can help you lovelots

i bought a new comic book at the comic book shoppe and paid enitrely using quarters. If I had paid using only dimes i would have needed to pay 9 more coins. how much did the comic book cost

Answers

The comic book cost $1.50.

A quarter is worth .25 cents while a dime is worth .10 cents. This means 9 more coins would be .90 cents since each coin is worth .10 cents.

The difference between $1.50 and .60 cents is .90 cents.

25 x 6 = 150  while  10 x 6 = 60  :  150 - 60 = 90

Hope this helps!!

-1/3 + (-7/4)

Ill give this cookie to who solves it

Answers

Answer:

-25/12

Step-by-step explanation:

first, you need a common denominator. in this case, it's 12.

-1/3=-4/12

-7/4=-21/12

and then you add

-4+-21=-25

so -25/12 is your answer

......................................

Answer to what is CA

Answers

well, let's recall that A, B and C are medians of their segment, meaning each of those lines made by them are midsegments, Check the picture below.

[tex]CA = \cfrac{SR}{2}\implies 2CA=SR\implies 2(3x-1)=5x+4 \implies 6x-2=5x+4 \\\\\\ x-2=4\implies x =6~\hfill \stackrel{~\hfill CA}{3(6)-1\implies 17}[/tex]

The price of a gallon of milk increased from $5.50 to $7.50. Describe the price increase as a percent.​

Answers

Step-by-step explanation:

7.50= (1 + x/100 ) × 5.50

7.50/ 5.50 = 1+x/100

x/100 = 0.36

x= 36.36%

solve please: 1/4x-5+1.2x​

Answers

Answer:

29x/20 - 5

Step-by-step explanation:

1/4x - 5 + 1.2x​

=> 0.25x - 5 + 1.2x

=> 1.45x - 5

=> 29x/20 - 5

Therefore, this is the simplified form: 29x/20 - 5

Solve.


w−(−1/6)=1.08


Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

  137/150

Step-by-step explanation:

We can solve for w by adding -1/6 to both sides of the equation.

  w -(-1/6) = 1.08

  w = 1.08 +(-1/6) = 108/100 -1/6

  w = 54/50 =1/6 = 162/150 -25/150

  w = 137/150

Simplify.

1/cosθ + tan^2θ/cosθ

• 1 + sinθ
• sec^3θ
• 1
• cos^3θ

Answers

Answer:

I'm guessing the answer is sec³θ

Step-by-step explanation:

I tried this problem and I got 1/cos³θ and clicked cos³θ, but that answer was incorrect. In my lesson, there were the options:

1. sec³θ

2. cos³θ

3.  secθ

I didn't have options 1 + sinθ or 1 as answers. If sec³θ is not the correct answer, please correct me.

At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?

Answers

Answer:

a

Step-by-step explanation:

(6,3) and (2,7) the midpoint formula

Answers

Answer: (4,5)

Step-by-step explanation:

6+2=8/2=4 x=4
3+7=10/2=5 y=5

(4,5)
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