solve the simultaneous equation
2x + 4y=1
3x - 5y=7

Answers

Answer 1

Answer:

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Step-by-step explanation:

Solve for one equation, one variable.

2x + 4y = 1

subtrract 4y from both sides.

2x = 1 - 4y

divide by 2 to get x by itself.

x = 1/2 - 2y

Now that we have this, we can put it into the other equation.

3x - 5y = 7

Substitute variable.

3(1/2 - 2y) - 5y = 7

Distribute the 3.

1.5 - 6y - 5y = 7

Combine terms.

-11y + 1.5 = 7

Subtract by 1.5.

-11y = 5.5

Divide by -11.

y = -1/2, or -0.5.

Now we can find x. Substitute this into the initial equation.

2x + 4y = 1

Substitute variable.

2x + 4(-1/2) = 1

Multiply.

2x + (-2) = 1

Simplify.

2x - 2 = 1

Add 2 to both sides.

2x = 3

Divide by 2.

x = 3/2, or 1.5.

x = 3/2 or 1.5.

y = -1/2 or -0.5.


Related Questions

Find the value of x.

Answers

Answer:

Hey love! Answer: 129

Step-by-step explanation:

The answer is 129 because there vertical angles and vertical angles have the same measure. Hope this helps!

X= 129 (being vertically opposite angle)

Hope it helps you

I rly need help with #2-4 and #8-9 PLZZ

Answers

Answer:

2. sin=12\15 cos=9/15 tg=12/9

3. sin=3/v13 cos=2/v13 tg=3/2

4. sin=v15/4 cos=7/4 tg=v15/7

Please help. Will give brainliest.

Answers

Answer:

7.

radius [r]=3in

length of bold part of circle=(360-40°)/360×2πr

=8/9×2×π×3=16.755

8.

we have

x²-2=2-y²

x²+y²=4..........(1)

comparing above equation with

(x-h)²+(y-k)²=r²

we get

centre(h,k}=(0,0)

radius [r]=2 units

14 yd

Area Formula= base x height

Base = 7 yd X 2yd Height= 14 yd

Volume = Area of base x height

Answers

Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

[tex]Base\ Area = 7yd * 2yd[/tex]

[tex]Height = 14yd[/tex]

Required

The volume

The volume is given as:

[tex]Volume = Base\ Area * Height[/tex]

Where:

[tex]Base\ Area = 7yd * 2yd[/tex]

[tex]Height = 14yd[/tex]

So, the equation becomes

[tex]Volume = 7yd * 2yd * 14yd[/tex]

[tex]Volume = 196yd^3[/tex]

6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?​

Answers

Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters

Write an inequality to represent the real-world problem. Then complete the statements.

Jasmine’s computer cost more than $300.

The variable in the inequality represents
The inequality symbol needed is
The constant is
The inequality that correctly represents the problem is

Answers

Answer:Just did the question 2021 edge

Step-by-step explanation:

10x-18=15x+48 solve for the x please. ​

Answers

Answer: 15

Step-by-step explanation:

35% of f is 14. What is f? Enter your answer as a numeric expression.​

Answers

Answer:

40

Step-by-step explanation:

14/35 = f/100

35f = 14 x 100

f = 14 x 100 /35

f = 40

Answer:

40

Step-by-step explanation:

Well, 35% of 40 is 14, but I'm not confident on what it wants when it suggests to answer as a numeric expression. But, if it means in it's unadulterated, unsimplified, primitive nature, then sure, let me list the work below.

14/.35

There.

please help I'm so confused ​

Answers

Answer:

It ends on the half circle

Step-by-step explanation:

You are looking at the base of each shape. It starts with a triangle so you go down. Then the base of that is a rectangle so you go down again and so on. Therefore your answer is a half circle.

I need help I will give brainliest I promise

Answers

Answer:

1/4 is the answer

Step-by-step explanation:

First, we see that the total students is 20 & the students who got 6 or 7 is 5.

5/20 = 1/4

1/4 = 25%

Which number is rational?
/2
10
O
16

Answers

Answer:

16

Step-by-step explanation:

Square root of 2 is irrational. This has been proven by the Pythagoreans (there is a simple proof of that).

pi is also known to be irrational although the proof is a bit more demanding.

Square root of 10 can be written as a product of square root of 5 and square root of 2, which themselves are irrational. Any product involving an irrational number is irrational

Square root of 16 = 4. 4 can be written as a fraction 4/1, or 8/2, 16/4, etc. and therefore is rational by definition.

hiii please help i’ll give brainliest:)

Answers

Answer:

oligarchy

Step-by-step explanation:

The square below has an area of 64-16x+x^264−16x+x 2 64, minus, 16, x, plus, x, squared square meters. What expression represents the length of one side of the square?

Answers

Step-by-step explanation: Both 64 and x^2 are perfect squares, since 64=(8)^2 and x^2=(x)^2. Additionally, 16x is twice the product of the roots of 64 and x^2, since 16x=2(8)(x). So the side length of the square is 8-x meters

I think I don’t exactly remember don’t judge me

The mean of a data set is 124. The mean absolute deviation is 38. What is the greatest possible number within the mean absolute deviation?

Answers

Answer:

Infinity

Step-by-step explanation:

The given parameters are;

The mean of the data, μ = 124

The mean absolute deviation = 38

The mean absolute deviation is given as follows;

[tex]Mean \ absolute \ deviation = \dfrac{\sum \left | X - \mu \right |}{N} = 38[/tex]

Where;

μ = Mean

X = Score

N = The number of scores

Therefore;

[tex]N \times 38 = \sum\limits_{i = 1}^N \left | X - \mu \right |} = \sum\limits_{i = 1}^N \left | X -124 \right |}[/tex]

When there are an infinite number of terms, N = ∞, the greatest possible number within the mean absolute deviation is therefore also infinite

[tex]\infty \times 38 = \sum\limits_{i = 1}^{\infty} \left | X - \mu \right |} = \infty[/tex]

[tex]Greatest \ possible \ value \ for \left | X - \mu \right |} = \infty[/tex]

for brainiest:):):):):):):):):):):):)

Answers

Answer:

P: 15  Area: 8

Step-by-step explanation:

Use the line to split the shape. For P add all the numbers and add a 4 and a 1 too. For the area, you have to multiply 2 by 2 because of the cube, then mulitply 4 by 1 because 2+2=4 and the other number is one. REMEMBER TO SHOW YOUR WORK AND DOUBLE-CHECK!

need help, I'm stuck on this​

Answers

Answer:

The answer is 729/64.

Step-by-step explanation:

I would first simplify the equation.

In the denominator, you can get rid of b^0 because that just equals 1.

For the a's in the numerator and denominator, you have to flip them so the exponents can be positive.

Equation:  [tex](\frac{3ab^2}{2a^3})^2[/tex]

Now, you can subtract a and a^3.  This would be 1/a^2.

Equation: [tex](\frac{3b^2}{2a^2})^2[/tex]

Now, you can square the whole equation.

Equation: [tex]\frac{9b^4}{4a^4}[/tex]

This is the simplified equation.  Now you can plug in -2 and -3.

Equation: [tex]\frac{9(-3)^4}{4(-2)^4}[/tex]

Equation: [tex]\frac{9(81)}{4(16)}[/tex]

Equation: 729/64

Which is equivalent to 437
O A 7
B. 12
OC 16
OD. 64
E. 81

Answers

D 64 if this is right please give me brainlist

angle relationships. please help me. i will give you brainlist. if you are right though.

Answers

Step-by-step explanation:

12x+15+69= 180

12x = 96 X =8

x+137 + 50 = 180

x = - 7

80= 20x

x = 4

20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?

A The amount a babysitter who makes $7.50 per hour earns in h hours

B The cost of purchasing p pounds of oranges for $1.35 per pound

C The number of gallons of water in x barrels with 13 gallons of water in each barrell

D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds

Answers

Answer:

d

Step-by-step explanation:

i think its d

Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6

Answers

Answer:

The total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Step-by-step explanation:

Complete question

Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.

Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.

Write an equation to represent the number of stamps in Tom’s collection based on the  number of weeks he has been collecting stamps.

Solution

Let "X" be the number of weeks for which Tom collected the stamps

The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]

It is given that he collects 8 stamps per week

So the total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Please help me with this.

(NO FILES OR LINKS AS YOUR ANSWER, I CAN'T DOWNLOAD THEM)

Answers

Answer: The expressions 11(x+y) and 11x+11y

Which expression has the same value as -5x+ 10y?
-10y - (-5x)
5x + 10y
10y + 5x
-5x – (-10y)

Answers

Answer:

-5x-(-10y)

Step-by-step explanation:

-5x-(-10y)

-5x+10y

Answer:

-5x – (-10y)

Step-by-step explanation:

-5x – (-10y) is the same as -5x+ 10y. The two negatives will cancel out and become a positive.

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes

Answers

Ta furie le Wola t in fatiguer

Plzzz put the work step by step so I can copy

Answers

Answer:

down below

Step-by-step explanation:

inside of a triangle is 180 degrees

[tex]180=90+5x+2+4x-11\\180=5x+4x+90+2-11\\180=9x+81\\180-81=9x+81-81\\99=9x\\99/9=9x/9\\11=x[/tex]

now that we have our x we can find the angles

[tex]M=90\\\\K=5(11)+2\\K=57\\\\\\L=4(11)-11\\L=33[/tex]

Question 4 of 10
Which choices are equivalent to the expression below? Check all that apply.
416
O A. 74.36
OB. 16.6
O C. 196
D. 724
O E. 96
IF. 132. 13

Answers

A or c am not completely sure I am 90% sure or is I

WET TEDDY BEARS, GET YOUR WET TEDDY BEARS

(Liberty Mutual)

Answers

Step-by-step explanation:

Hell yes, I'll take 5 please

Answer:

Yes! Wet teddy bears are fire! I'll take 4, pls!

Step-by-step explanation:

In the XY coordinate plane, the slope of a line is 4 and it passes through the point (1,3). Find the equation of a line that is perpendicular to the given line and intersects it at the given point.
A. y=4x-1
B. y=-4x+7
C. y=1/4x -1
D. y=4x+13/4
E. y=-1/4x+13/4

Answers

Answer:

E?

Step-by-step explanation:

I'm sorry of this answer is wrong

If using the method of completing the square to solve the quadratic equation
x² + 2x + 16 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i

Step-by-step explanation:

For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.

What is a quadratic equation?

Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.

It is given that the equation is, x² + 2x + 16 = 0,

The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.

In order to complete the square you have to take out the following operations,

x² + 2x + 16 = 0

Add and subtract by 1 as

x²+2x+16+1-1

x²+2x+1 +15

(x+1)²+(√15)²

Thus, you must add 1 in order to complete the square.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ2

Simplify the expression 3.4(-2) + 10

Answers

3.2 ; to get this answer you do 3.4(-2) = -6.8 then you add ten -6.8 + 10 = 3.2

PLEASE HELP I NEED IT TO PASS THIS CLASS

Answers

Answer:

complement angle = 52 + 38 = 90°

supplement angle = 47 + 133 = 180°

Step-by-step explanation:

[tex]here \: is \: your \: solution \: \\ measure \: of \: one \: angle \: = 52 \\ let \: the \: other \: angle \: be = x \\ \\ x \: + 52 \: = 90 \\ x \: = \: 90 - 52 \\ x \: = 38 \\ now \: second \: question \\ x + 47 = 180 \\ x = 180 - 47 \\ x = 133 \\ hope \: it \: helps[/tex]

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