(3x+4y=18) (5x+6y=28)​

Answers

Answer 1

Answer:

x = 2, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 4y = 18 → (1)

5x + 6y = 28 → (2)

Multiplying (1) by 5 and (2) by - 3 , then adding will eliminate the term in x

15x + 20y = 90 → (3)

- 15x - 18y = - 84 → (4)

Add (3) and (4) term by term to eliminate x

2y = 6 ( divide both sides by 2 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(3) = 18

3x + 12 = 18 ( subtract 12 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Solution is (2, 3 )


Related Questions

The domain of a quadratic function is all real numbers and the range is y ≤ 2 how many x intercepts does the function have?

Answers

Answer:3

Step-by-step explanation:

Round the decimal to the nearest whole number 5.8??

Answers

Answer:

6

Step-by-step explanation:

Because 5.8 is closer to 6 than it is to 5.

6

If you want to round to the nearest whole number, the answer would be 6. Remember, if the number right after the decimal is higher than 5, you want to round up, if the number is lower that 5, you will want to round down. I hope this helped!! :)

A mathematical sentence without an equal sign. pick from one of these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio

Answers

Answer:

expression

Step-by-step explanation:

hope this helps

VERY EASY HELP QUICKLY PLEASE!! Write 6.012 as a mixed number in simplest form.

Answers

Answer:

6 3/250

Step-by-step explanation:

hope this helps ..;)

can you give me a real-world problem that involves multiplying a fraction and a whole number?

Answers

Answer:

Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.

Step-by-step explanation:

rishi and kyle spent the same amount of time.

6/4 and 6/4 hours

Find the distance between X(-9,3) and Y(6,-4)

Answers

Answer:

[tex]d=\sqrt{274}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(6-(-9))^2+(-4-3)^2} \\d= \sqrt{(15)^2+(-7)^2} \\d= \sqrt{225+49} \\d= \sqrt{274}[/tex]

What is the rate of change of the function represented by the table?
Х
у
1
5
2
5
3
5
4
5
ОО
1
4
5

Answers

Answer:

First it is adding 15 then it starts adding 3 then 1

Step-by-step explanation:

Factor Completely.
3x^2-75

Answers

Answer:

3(x+5)(x−5)

Step-by-step explanation:

Answer:

3(x - 5) x (x + 5)

            ^

  multiplication sign btw

Step-by-step explanation:

3(x^2 - 25)

3(x - 5) x (x+5)

hope it helped

brainliest is appreciated

How would you record the temperature indicated on the thermometer?

Answers

Answer:

i would say closer to 15.1

Step-by-step explanation:

(-6) to the power of negative 5 in fraction form ,

Answers

Answer:

-6430041/50000000000

Step-by-step explanation:

so -6 to the power of negative 5 is -0.00012860082 which as a fraction is -6430041/50000000000

Factor the trinomial:
3x2 + 13x + 12

Answers

Answer:

Step-by-step explanation:

(3x + 4)(x + 3)

3x^2 + 9x + 4x + 12

3x^2 + 13x + 12

Help ASAP!!!! Please , 15 points

Answers

Answer:

im probably wrong but i think it's C

the answer is B (37 degrees)

HELP!!!Find the measures of angles 1, 2, and 3. Show your work. Choose the correct measures of each angle. A. m∠1=77° m∠2=103° m∠3=77° B. m∠1=77° m∠2=103° m∠3=76° C .m∠1=75° m∠2=103° m∠3=75°

Answers

angle 2 = 103° ( vertically opposite angles )

angle 1 = angle 3

103° + 103° + 2 ( angle 1 ) = 360° ( angle 1 = angle 3 )

or, 206° + 2 (angle 1) = 360°

or, 2(angle 1) = 360 - 206

or, 2(angle 1) = 154°

or, angle 1 = 154/2 = 77°

Answer:

angle 2 = 103° (vertically opposite angles)

angle 1 = angle 3 = 77° (vertically opposite angles)

OPTION A IS CORRECT.

equation of the line that passes through the point (-8,-1) and is parallel to the line x-4y=4x−4y=4?

Answers

Answer:

Step-by-step explanation:

x - 4y = 4

-4y = -x + 4

y = 1/4x - 1

y + 1 = 1/4(x + 8)

y + 1 = 1/4x + 2

y = 1/4x + 1

What is the inverse of the following function? y = 12x −6

Answers

Answer:

f ^−1(x)=x/12+1/2

Step-by-step explanation:


Jack is fishing on a pier that is 2 feet above the water. When he casts his rod, the hook
on his line lands 8 feet below water. What is the total distance his hook traveled?

Answers

Answer:

10 feet

Step-by-step explanation:

2 + |-8| = 10

Hope this helps, have a great day:)

ANSWER: 10 feet
Explanation: 2 + 8 = 10

If t = -3, what is
[tex] \sqrt{6 - 25t} [/tex]

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

So we have the expression:

[tex]\sqrt{6-25t}[/tex]

And we want to find the value of the expression when t is -3.

So, substitute -3 for t:

[tex]\sqrt{6-25(-3)}[/tex]

Multiply:

[tex]=\sqrt{6+75}[/tex]

Add:

[tex]=\sqrt{81}[/tex]

Evaluate:

[tex]=9[/tex]

So, our answer is 9.

And we're done!

If t=-3, then the square root would look like this:
6-75 squared. 6-75 is 69. 69 squared is 8.3.
Hope this helped

What type of relationship is indicated by the following set of ordered pairs ? I don’t understand it .

Answers

Answer: Since the second differences are constant, there is a quadratic relationship between and .

Step-by-step explanation:

Please help! The yellow dot is something random I picked!!! Can you help me?I WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT

Answers

Answer:

14s+107

Step-by-step explanation:

(2s+7)+(12s+100)

14s+107

Given the conditional: If the game is field hockey, then the game is a team sport. Find the converse and determine its truth value.

Answers

Answer:

"If the game is a team sport, the game is field hockey"

Truth value → True

Step-by-step explanation:

The conditional statement is,

"If the game is field hockey, then the game is a team sport"

There are two statements,

Statement p → The game is a field hockey.

Statement q → Game is a team sport.

For the converse statement,

If p then q (q → p)

So the converse will be,

"If the game is a team sport, the game is field hockey"

Since, both the statements p and q are TRUE, truth value will be TRUE.

(Converse is false only when q is false and p is true)

From The Graph Below Determine the total percentage found of each substance expect hydrogen and helium

Answers

Answer:

80%

Step-by-step explanation:

Since we're excluding hydrogen and helium, we are looking for the % of nitrogen and oxygen.

From the graph, we can see that we found 75% oxygen (blue).

We can also see that of nitrogen, green, we found 5%.

We simply need to add these two together.

75% + 5% = 80%

Answer: 80%

what is x for 3x-1-1=5x-(-x+3)​

Answers

The answer for that question is x=1/3 hope this helped:)

Calculate the distance between the points (-8,1) and (0,7)

Answers

Answer:

10 units

Step-by-step explanation:

[tex]\boxed{distance = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }}[/tex]

Using the distance formula above,

distance between the 2 points

[tex] = \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units[/tex]

What is the value of n - 7 when n = 14?
21
2
7
9

Answers

Answer:

C) 7

Step-by-step explanation:

Plug in 14 for n in the equation.

n - 7

14 - 7

Subtract: 14 - 7 = 7

C) 7 is your answer.

~

Tony is 1/2 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles per hour, how long will it take Laura to catch up with Tony?

Answers

Answer: Another way of looking at this problem, is that Laura will "gain" 2 miles on Tony in 1 hour. Why? She is going 7 miles in 1 hour, while Tony is only going 5. 7-5 = 2.

 

However, Tony is only .5 miles ahead and the question asks how long will it take for her to catch up, not to overtake him or beat him in some race.

 

I would make a simple ratio here. If in 1 hour/she beats him by 2 miles, x hours/she beats him by .5 miles.  

 

Another way to write that is 1/2 = x/.5

 

If you solve the equation, you get (by cross-multiplication) 2x = .5, x = .5/2, x =1/4.

 

Now, we are dealing with hours, so since there are 60 minutes in one hour, multiple the value you obtain for x by 60 minutes (60*1/4) = 15 minutes.  

 

Therefore, it will take Laura 1/4 of an hour, or 15 minutes, in order to catch up with Tony

Step-by-step explanation:

Please answer step by step 3(2y-7)=

Answers

Answer:

Step-by-step explanation:

3(2y-7)=

Distribute

3 * 2y - 3 *7

6y - 21

Step-by-step explanation:

3(2y-7) = 6y-21

y = 21/6

y = 3

Tina worked 5 1/3 hours on Saturday and 6 1/4 hours on Sunday. How many total hours did she work these two days?

Answers

Answer:

11 7/12

Step-by-step explanation:

5 1/3 + 6 1/4 = 11 7/12

Just #9 please I need help (30 points)

Answers

Answer:

Step-by-step explanation:

The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as

[-3 , 2]

We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.

The range is the set of possible output values, which are shown on the y-axis.

This is why our graph goes from (-3,8) to (2,3)

Select all of the following functions that are quadratic.

y = 2x2

3 = 2x2 – 8

y = –2 + 2x – 8

y + 3x = 2x2 – 8

y +3x2 = 2x + 3x2 – 8

Answers

Answer:

y = 2x2

y + 3x = 2x2 – 8

Step-by-step explanation:

The equations that are quadratic in nature are -

y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8

What is a quadratic equation?

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c.

Given are the set of equations.

A quadratic equation is a equation of degree 2. The equation with degree 2 are -

y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8

Therefore, the equations that are quadratic in nature are -

y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8

To solve more questions on quadratic equations, visit the link below -

brainly.com/question/22412845

#SPJ2

Solve.
2(2z – 4) = 32
Answer:
Submit Answer
i need the answer, what is it? no explanation needed.

Answers

Answer:

9

Step-by-step explanation:

2(2z-4)=32

4z-4=32

4z=36

z=9

Z= 10. Just distribute the 2 outside the parenthesis first.
Other Questions
Who is the president of India? Someone please help me out with this question ASAP thank u What does the abbreviation GIF stand for? A. Graphics Inclusion Formula B. Gigabyte Impression Format C. Graphics Interchange Format D. Gigabyte Inversion Formula Simplify 4 over quantity 2 plus 7 i The geographer who first calculated the earth's circumference with relative accuracy was Completa la tabla con el imperativo formal.sinoDmelo.1.2.No me lo diga usted.Cocnelo a fuego lento.3.4.No la revuelva usted.seLamela.5.ducationCompleta la tabla con el imperativo familiar Can someone please help me out? 10 decreased by twice a is 23 What aspect of motion can you conclude is common among freely falling objects ? The inverse of f(x) = 2x + 3 isO TrueO False A company is considering two designs for a machine in its manufacturing line. The first, called machine A, will cost $160000 in fixed costs and will cost $80 per unit in variable costs, for each unit it produces. The second, called B, will cost $270000 in fixed costs and will cost $2 per unit in variable costs, for each unit it produces. At what volume of production will the two machines cost the same write the number in scientific notation 1123 PLEEEEEEASEEEE HELP! ILL MARK BRAINLIST! The period in Japan's history in the late 19th century when imperial rule was restored was known as the Jane wants to determine the shortest route from her home to her workplace.She walks only on the sidewalks indicated by dotted lines on the map. What isthe distance of the shortest route from home to work to the nearest block?(IMPORTANT NOTE - 1) Turn radicals into decimals. 2) Do not round decimalsuntil the very end of the problem).HELP PLEASE I have no idea how to do this As seen from Earth, what causes the Moon to change its apparent shape throughout the month? What is the correct order of steps for bisecting angle ABC? What makes it possible for us to be able to live on the earth? 1. El padre / de Ral ____________________________________________________________________________ 2. La casa / elegante ____________________________________________________________________________3. Yo / en el bao ____________________________________________________________________________ 4. Nosotros / contentos ____________________________________________________________________________ 5. Los actores / nerviosos ____________________________________________________________________________ 6. La chica / cmica ____________________________________________________________________________ What is the main idea of the poem the writer by Richard Wilbur