Consider the equations shown: ax + by = ab & 2ax + 3by = 3b

Which of these is the value of y in terms of a?

Option 1 : y = 3a – 35

Option 2 : y = 2ab – 3b

Option 3 : y = 9a – 35

Option 4: y = 3 – 2a

Answers

Answer 1

Answer: [tex]y=3-2a[/tex], Option 4

Step-by-step explanation:

[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]

multiply 2 at [tex]ax+by=ab[/tex]

[tex]2ax+2by=2ab[/tex]

subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]

[tex]by=3b-2ab[/tex]

[tex]y=3-2a[/tex]


Related Questions

3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.

Answers

All natural numbers are whole numbers

someone knows what number multiplied twice by the same can give me results 203!!!!!

Answers

Answer:

i will help you.......

Which of the following coordinates represents a solution to the equation 3x-2y=6?

3, -2
2, -3
0, -2
(0, -3)

Answers

Answer:

2,-3

Step-by-step explanation:

What is the measurement of YZ and the measurement of angle Y

Answers

Answer:

Yz=12 cm

m<Y=26

Step-by-step explanation:

angle Z is congruent to angle X. Angle z also corresponds to side XY, which is 12cm. This means that side YZ (corresponds to angle x) is 12 cm.

77+77+x=180

154+x=180

x=26

Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11

Answers

Answer:

A

Step-by-step explanation:

Use the method of completing the square to express in vertex form.

Given

y = x² - 6x + 11

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 11 , then

y  = (x - 3)² + 2 → A

Answer:A

Step-by-step explanation:

( -3) ^-5 = 1/x what is the value of x?

Answers

Answer:

x= -243

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable x.

Write the slope-intercept form of the equation
6y-9x=36

Answers

Answer:

y= -3x + 12

Step-by-step explanation:

Hope this helps ! :)

it should be y = 3/2x - 6

Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?

Answers

Answer:

32

Step-by-step explanation:

Given that:

Number of granola bars = 96

Number of popcorn balls = 64

Greatest number of party favors that can be made from granola bars and popcorn balls ;

Obtain the greatest common factor of both 96 and 64

Factors of :

96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

64 : 2, 4, 8, 16,32

greatest common factor is 32,

Hence, greatest number of party favors that can be made is 32

The endpoints of a side of rectangle ABCD in the coordinate plane are at A (1, 11) and
B (3, 1). Find the equation of the line that contains the given segment.

The line segment is AD.

Answers

Answer:

y = -5x+16

Step-by-step explanation:

I think this is the answer. The slope of A and B is -5x, because

(1-11)/(3-1) = -5

Then solve for b by inputting one of the points

11 = -5(1) + b

11 = -5 + b

b = 16

Put it all together.

I think I answered this correctly..?

I need help with this equation

Answers

Step-by-step explanation:

whats the equation lol

Answer:

What equation......

Step-by-step explanation:

IDG

write the equation for the graph. make sure to include + or - signs to indicate if your number is positive or negative

Answers

Answer:

- 3 and - 2

Step-by-step explanation:

y = | x - 3 | - 2

answer this i need it quick PLEASE

Answers

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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

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[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

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The correct answer is Option four .

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(6h+8) - (3h+2) = 15

Answers

Answer:

h = 3

Step-by-step explanation:

This is the answer because:

1) Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps!

how do you solve negative exponents?

Answers

Negative Exponent Rule:
this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.
Like this||

Answer:

Step-by-step explanation:

Negative Exponent Rule:

, this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

What percent of 100 is 67? *

(1) 100%
(2) 67%
(3) 167%
(4) 33%

Answers

67%

Convert fraction (ratio) 67 / 100 Answer: 67%

What Is Science?

100% (3/3)

Earth and Space Systems

67% (2/3)

Gravity's Role in the Universe

67% (2/3)

Interactions of the Earth, Moon, and Sun

67% (2/3)

Planets and Moons

100% (3/3)

Stars, Asteroids, and Comets

67% (2/3)

Energy Flow

100% (3/3)

Weathering and Erosion

100% (3/3)

The Rock Cycle

100% (3/3)

Plate Tectonics

100% (3/3)

Earth's Changing Surface

100% (3/3)

Matter and Energy

100% (3/3)

The Cycles of Earth

100% (3/3)

Natural Resources

100% (3/3)

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/8
a.
21°
b.
22°
c.
68°
d.
37°

Answers

Answer: A

Step-by-step explanation:

I plugged 3/8 into an inverse tangent calculator and got this answer.

Hannah's favorite cereal comes in 2 sizes:
775 grams for $6.45 and
400 grams for $3.15.
Which is the better buy? Why?

Answers

The answer is 400grams. This is because if she buys two of these then it will still be cheaper then the other size and you'll get more grams.
I would say the 400 GRAMS is better to buy. Hope those helped!

find the derivative of respect to x.
[tex] sin3x[/tex]

Answers

Answer:

Dx [sin3x] = 3cos3x

General Formulas and Concepts:

Calculus

Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]Derivative of trig functionsBasic Power Rule:  f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

sin3x

Step 2: Find derivative

Apply operative:                    Dx [sin3x]Chain Rule:                             cos3x · 3Simplify:                                  3cos3x

Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.

Answers

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

[tex]4\text{ quarts}=1\text{ gallon}[/tex]

[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]

[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]

Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.

Please Helpp Asap It’s due Tomorrow

Answers

The answer is y = 1.5x

Answer:

y = 2.5

Step-by-step explanation:

if y = 0

x= 2.5

u do the y as 0 and x as 2.5

and then draw a straight line

Solve for x:
5x - (x + 4) + 1 = 3 - 2(x + 6)

Answers

Answer:

x = -1

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x - (x + 4) + 1 = 3 - 2(x + 6)

Step 2: Solve for x

Distribute:                          5x - x - 4 + 1 = 3 - 2x - 12Combine like terms:          4x - 3 = -2x - 9Add 2x on both sides:      6x - 3 = -9Add 3 to both sides:         6x = -6Divide both sides by 6:     x = -1

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)Parenthesis (Add):        5(-1) - 3 + 1 = 3 - 2(5)Multiply:                        -5 - 3 + 1 = 3 - 10Subtract:                       -8 + 1 = -7Add:                              -7 = -7

Given the figure above, determine​

Answers

Answer:

The ∠B is 60*

Step-by-step explanation:

Rearrange to make x the subject: 3x+8= has x+6y

Answers

Answer:

x=3y-4

Step-by-step explanation:

3x+8=x+6y

so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.

2x+8=6y

now we want x alone on one side so we subtract 8 on both sides.

2x=6y-8

divide by 2

x=3y-4

Answer:

x = 3y - 4

Step-by-step explanation:

Given

3x + 8 = x + 6y ( subtract x from both sides )

2x + 8 = 6y ( subtract 8 from both sides )

2x = 6y - 8 ( divide all terms by 2 )

x = 3y - 4

Suppose you are interested in signing up for a cell phone plan. There are two plans available.

Plan 1

$95 start-up fees

$20 per month after the 1st month

Plan 2

No start-up fee

$35 per month after the first month

Answers

Answer:

The first plan is better

Step-by-step explanation:

The first plan is better because after you do a yearly subscription you only have to pay 335 dollars. The second plan has to make you pay 420 dollars for a yearly subscription. Choose the 1st plan for a cheaper cost.

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what has the product of 54 and sum of -15

Answers

Answer:

It should be

product = -9 and sum = -6

Step-by-step explanation:

Your welcome

the window of a room is 20m long and 14m wide. if the carpenter works to put a metallic frame around it which cost Rs.120 per metre, then how much will the metallic frame cost.​

Answers

Answer:

33,600

Step-by-step explanation:

length=20m

wide=14m

area= 28m²

1m= 28

cost = 120*28= rs33600 per m²

The quotient of 4 ÷ 7 is a decimal number .How many digits in the quotient are overlined?

Answers

Answer:

2 digits in the quotient are overlined

A cake recipe contains sugar and flour in the ratio 3 : 2.

How much of each ingredient is needed to make 600 gram of such a cake?

Answers

Answer:

360 g of sugar and 240 g of flour

Step-by-step explanation:

add the parts of the ratio, 3 + 2 = 5 parts

Divide the total by 5 to find the value of one part of the ratio.

600 g ÷ 5 = 120 g , thus

3 parts = 3 × 120 g = 360 g ← amount of sugar required

2 parts = 2 × 120 g = 240 g ← amount of flour required

Answer:

360 grams of sugar and 240 grams of flour

Step-by-step explanation:

First, find the sum of the parts of the ratio: 3 + 2 = 5

Divide the total amount (600) by the amount of parts:

600/5 = 120

Now multiply 120 by the amount of each part of the ratio:

210 * 3 = 360

360 * 2 = 240

360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.

Hope this helps :)

The length of a piece of string with 4cm
cut off. Let s represent the unknown
length of string in cm.

Answers

Answer:

is this the full question?

Step-by-step explanation:

s - 4 cm represents the length of the piece of string after cutting off 4 cm. "s" is the unknown length.

A mathematical statement proving the equality of two expressions is known as an equation. Variables, constants and mathematical operations like addition, subtraction, multiplication, division and exponentiation are frequently included. Finding the value of the unknown variable that equalizes both sides of the equation is the aim of equation solving.

Let s = the unknown length of the string in cm.

the length of the string with 4 cm cut off:

The equation "s - 4 cm" represents the length of the string after cutting off 4 cm. "s" is the unknown length that needs to be determined.

learn more about equation here

brainly.com/question/33622350

#SPJ2

The complete question is- Write in a shorter way form of equation: a The length of a piece of string with 4cm cut off. Let s represent the unknown length of string in cm.​

Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4

Answers

Answer:

Point form: (4, 4)

x = 4, y = 4

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