MATHEMATICS HIGH SCHOOL

3x+2y=4
4x+5y=17
What is the value of x and y?

Answers

Answer 1
Answer: {3x+2y=4    /*5
{4x+5y=17    /*(-2)

{15x+10y=20
{-8x-10y=-34        (+)
7x=-14
x=-2

15x+10y=20
15*(-2)+10y=20
-30+10y=20
10y=50
y=5
Answer 2
Answer: 3x+2y=4|\cdot(-4)\n4x+5y=17|\cdot 3\n\n-12x-8y=-16\n\underline{12x+15y=51}\n7y=35\ny=5\n\n3x+2\cdot5=4\n3x+10=4\n3x=-6\nx=-2\n\n\boxed{(x,y)=(-2,5)}

Related Questions

Find the product. -7(8 + k)
Use proportional reasoning to find 65% of 200
On a map of the city .1 centimeter represents 2.5 miles . what distance on the map would represents 20 miles?
A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. The perimeter is 48 feet. If the material used to build the pen is $1.85 per foot for the longer sides and $2.35 per foot for the shorter sides (the shorter sides have gates, which increase the cost per foot), find the cost to build the pen.
Why might you want to use thecommutative property to change the order of the integers in the following sum before adding?

tanmayi wants to raise $175 for a school fundraiser. she has raised $120 so far. How much more dose she need to reach her goal?????

Answers

175 - 120 = 55. Therefore she has $55 left until she reaches her goal.

Let x represent any number in the set if even integers greater than 1

Answers

Hello,

The Set={x | x=2k+2,k∈N}

Miriam is picking out some movies to rent, and she is primarily interested in comedies and foreign films. She has narrowed down her selections to 10 comedies and 15 foreign films. How many different combinations of 3 movies can she rent if she wants at least two comedies?

Answers

Answer:

There are 795 combinations.

Step-by-step explanation:

The number of ways or combinations in which we can select k element from a group of n elements is given by:

nCk=(n!)/(k!(n-k)!)

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

10C2*15C1=(10!)/(2!(10-8)!)*(15)/(1!(15-14)!)

10C2*15C1=675

2. Choose 3 Comedies from the 10. This is calculated as:

10C3=(10!)/(3!(10-3)!)=120

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

A 50 meter path surrounds a rectangular garden . The width of the garden is two-thirds its length. find its area.

Answers

w-width\nl-length\n\n2w+2l=50\to w+l=25\nw=(2)/(3)l\n\nsubstitute:\n\n(2)/(3)l+l=25\n\n(5)/(3)l=25\ \ \ \ /\cdot(3)/(5)\n\nl=15\ (m)\n\nw=(2)/(3)\cdot15=10\ (m)\n\nArea:A_{\fbox{ }}=wl\to A_{\fbox{ }}=10\cdot15=150\ (m^2)

Solve 2(4r+6)=2/3(12r+18

Answers

The simplified form of the expression :

8r + 12 = 8r + 12

Given,

2(4r+6)=2/3(12r+18)

Here,

2(4r+6)=2/3(12r+18)

Simplifying the above expression :

Multiply 2 inside the bracket,

8r +12 =  2/3(12r+18)

Multiply 2/3 inside the bracket,

8r + 12 = 8r + 12

Hence both LHS and RHS are equal .

Know more about algebra,

brainly.com/question/953809

#SPJ6
    2(4r + 6) = ²/₃(12r + 18)
2(4r) + 2(6) = ²/₃(12r) + ²/₃(18)
       8r + 12 = 8r + 12
     - 8r          - 8r
              12 = 12

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

Answers

I'm going to give you both answer and how I found it if you ever have to do this again except in simple steps not the common core steps

Step 1: 472-4=468

Step 2: 468 divided by 9= 52

The answer would be there is fifty two students per bus.

Hopefully I helped you and showed you how to do it too.
52 students were on each bus
Other Questions
A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?
A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added. If this is true (and assuming cars arriving independently), find the probability of each of the following:A. One out of the next four cars needs oil.B. Two out of the next eight cars needs oil.C. 5 out of the next 20 cars needs oil.
Answer this question please!
when the 69th even natural number is subtracted from the 119th odd natural number, what is the result