3x + 2y=11 // 2x - 2y = 14 solve I substitution method​

Answers

Answer 1

Hey there! I'm happy to help!

To solve by substitution, rearrange one of the equations for one of the variables.

3x+2y=11

Subtract 2y from both sides.

3x=11-2y

Divide both sides by 3.

x=11/3-2/3y

Now we plug this value of x into the second equation to solve for y.

2(11/3-2/3y)-2y=14

We use distributive property to undo the parentheses.

22/3-4/3y-2y=14

We combine like terms.

22/3-10/3y=14

We subtract 22/3 from both sides.

-10/3y=20/3

Divide both sides by -10/3.

y=-2

We plug this value into one of the equations to solve for x.

3x+2(-2)=11

3x-4=11

Add 4 to both sides.

3x=15

Divide both sides by 3.

x=5

So, the solution is x=5 and y=-2 or (5,-2).

Have a wonderful day! :D


Related Questions

Help plzzzzzzzzzzzzzzzzzz

Answers

Answer:1

Step-by-step explanation:

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]\sqrt{5-x}=4[/tex]

Square both sides:

[tex](\sqrt{5-x})^2=4^2[/tex]

[tex]5-x=16[/tex]

Subtract 5 from both sides:

[tex]5-x-5=16-5[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

What is the equation of the line that passes through the point (−6,2) and has a slope of -3/2

Answers

[tex]y = {x}^{2} + 4x - 12[/tex]

Help me please thank you

Answers

The answer is C the x=1 it would be 4=4 then

The jansen family has 2 1/2 gallons of milk. Each of the 3 family members drinks 1 1/2 cups of milk a day .How many cups of milk are left after 8 days ?

Answers

Answer:

4

Step-by-step explanation:

The amount of milk remaining is equivalent to 4 gallons.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that Jansen family has 2 1/2 gallons of milk. Each of the 3 family members drinks 1 1/2 cups of milk a day.

1 gallon = 16 cups

2[tex]\frac{1}{2}[/tex] gallons = 2[tex]\frac{1}{2}[/tex] x 16 = 5/2 x 16 = 5 x 8 = 40 cups

Now -

Total milk consumed in 1 day = 3 x 3/2 cups = 9/2 cups = 4.5 cups.

In 8 days, the amount of milk consumed will be = 4.5 x 8 = 36 gallons.

Remaining amount = 40 - 36 = 4 gallons.

Therefore, the amount of milk remaining is equivalent to 4 gallons.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

Find the midpoint of the segment with the following endpoints.
(8,5) and (0, -1)

Answers

Answer:

(4,2)

Step-by-step explanation:

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(8,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\=\left(\frac{0+8}{2},\:\frac{-1+5}{2}\right)\\\\= (\frac{8}{2} , \frac{4}{2} )\\\\Simplify\\=\left(4,\:2\right)[/tex]

Answer:

(4,2)

Step-by-step explanation:

you know why

Can someone please help me I have been trying for hours and I don’t get it.

Answers

i think it’s 3 sets of carnations, so that’d be 18 singular carnation flowers

it might not be right, but i was able to get 3 sets for each of the 3 types of flowers

so there’d be 18 carnation flowers, 6 sunflowers, and 12 tulips

so the answer is 18 carnations
So in the small vase, there is a total of 12 flowers in it. We get this number by just adding the 6, 2, and 4. The large vase has 36 flowers in it, a number that’s given to us. We can divide the 36 by 12 and see that the large vase is 3 times larger than the small vase. Now, to find out how many carnations are needed in the large vase, just multiply 6 by 3. This will give you an answer of 18 carnations in the large vase. Hopefully this helps, but if not then just comment and let me know! :)

Consider the steps to solve the equation. 2 5 ( 1 2 y + 20 ) − 4 5 = 9 20 (2y − 1) Distribute: 1 5 y + 8 − 4 5 = 9 10 y − 9 20 What is the next step after using the distributive property? Use the multiplication property of equality to isolate the variable term on one side of the equation. Use the multiplication property of equality to isolate the constant on one side of the equation. Combine the like terms on the right side of the equation. Combine the like terms on the left side of the equation.

Answers

Answer: D

Step-by-step explanation:

<3

Answer:

The correct answer is d. Combine the like terms on the left side of the equation.

can anyone help asap?

Answers

D) 39.71

two decimals in the tenth place equal a decimal in the hundredths place

answer:

i think the answer is D it's been a really long time since i've done that

hope that helps!

Solve.
1) (-85) ÷ 20 =
2] 100 ÷ 60 =​

Answers

[tex] - 85 \div 20 = - 4 \frac{1}{4} = - 4.25[/tex]

[tex]100 \div 60 = \frac{5}{3} = 1 \frac{2}{3} [/tex]

Translate into a verbal expression:
3x - 2

Answers

Answer:

three times a number minus two

Step-by-step explanation:

x= times a number


How does the absolute value take away negative signs

Answers

Step-by-step explanation:

the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!

Answer:

the absolute value of negative number makes it a positive number

A submarine drops at a rate of 16 feet per minute. What is the submarines depth after 4 minutes?

Answers

Answer:

答えがわからない

Step-by-step explanation:

答えがわからない

can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!

Answers

Answer:

Corresponding angles

Step-by-step explanation:

Corresponding angles are formed when two lines are crossed by another line (which is called the Transversal) So , the angles in matching corners are called corresponding angles.

PLEASEEEE HELP URGENT

Answers

Answer:

7.1 cm

Step-by-step explanation:

The diagonal of a cube connects two opposite corners.

You can use the diagonal of a cube in a right triangle in which it is the hypotenuse. The legs of the triangle are a diagonal of a face and an edge.

Let the length of the edge be s.

a^2 + b^2 = c^2

[tex] s^2 + 10^2 = (\sqrt{150})^2 [/tex]

[tex] s^2 + 100 = 150 [/tex]

[tex] s^2 = 50 [/tex]

[tex] s = \sqrt{50} [/tex]

[tex] s = 5\sqrt{2} [/tex]

s = 7.1

Answer: 7.1 cm

John's teacher bought three 64 ounce bottles of soda for a class party. At the end of the party, 1/6 of the soda remained. How many ounces of soda remained?

Answers

Answer:

32 ounces

Step-by-step explanation:

If John's teacher bought three 64 ounce bottles of soda for a class party, the total weight of the soda bought will be 3*64 = 192 ounces of soda.

If 1/6 of the soda remained after the party, the amount of ounces that remained is expressed as;

amount of ounces that remained  = 1/6 * 192

amount of ounces that remained = 32 ounce

Hence amount of ounces that remained is 32 ounces

Find f(2) for the following functions: f(x) = x - 14

Answers

Answer:

f(2) = - 12

Step-by-step explanation:

f(x) = x - 14

To find f(2) substitute the value of x that's 2 into f(x). That is for every x in f(x) replace it with 2

We have

f(2) = 2 - 14

We have the final answer as

f(2) = - 12

Hope this helps you

Here, we are given with a polynomial f(x)

[tex]f(x) = x - 14[/tex]

And we are asked to find f(2).....?

We can see that, 2 is in place of x. So for finding its value, we need to substitute 2 in place of x.

Substituting 2 in place of x:

[tex]f(x) = x - 14[/tex]

[tex]f(2) = 2 - 14[/tex]

Solving further,

[tex]f(2) = \boxed{- 12}[/tex]

And, we're done with the value of f(2)

#CarryOnLearning

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Definition: This is a fraction in which the numerator is larger than the denominator.

Answers

Answer: Improper Fraction

Improper Fraction: The numerator of a fraction can be larger than the denominator. If the numerator is larger, than the fraction is larger than 1, than it is called an improper fraction.

For example: 9/4 = Improper Fraction
For example 1/2 = Proper Fraction

Hope this helps :)

Please answer by tomorrow! Thanks!

Answers

Answer:

4: 50.75

3: 43.2

2: 193

7: y= 5/2, or 2.5 or 2 1/2

Step-by-step explanation:

Solve fully plz!! I'll DO ANYTHING

Answers

Answer:

y=5

Step-by-step explanation:

all you have to do is divide 6 on both sides

to get 5 cause negatives cancel

y = 5

Step-by-step explanation:

[tex] - 30 = - 6y[/tex]

Divide both sides of the equation by -6

[tex] \frac{ - 30}{ - 6} = \frac{ - 30}{ - 6} \\ \\ y = 5[/tex]

Please Help Thank You So Much This is inequalities Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of: b). y − x d). y / x I kinda need this today.

Answers

Answer:

1) C  2) (-2,0) 3) 4)  5) c )S={(0,3)} 6) (0,2) 7)  8) Missing graph 9) Vertical line (check below) 10) B 11)

Step-by-step explanation:

1) Solving by the Addition/Elimination Method. Firstly, let's reduce one variable by making some algebraic adjustments and then adding it up:

2) Solving by Substitution Method. Where y=x+2 is plugged in the 2nd equation.

3) Solving it, again, by the Substitution Method due to the I equation form:

4) By the Addition Method

5) To use the graph method to solve the system of Linear equations is possible by graphing each equation on the Cartesian Plane.

Check the graph below, this system has only one solution.

c)S={(0,3)}

6) Solving y=-1/3x+2 y=x+2

(Check the graph below)

A) A) (0, 2)

7) Solving by Substitution Method:

8) Missing graph

9)

Check the graph below its answer

10) Solving by the Addition Method

11) Sorry, missing graph for the question.

12) Sorry, missing graph for the question.

13) D Check the graph below

14) Sorry, missing graph for the question.

Answer:

b= 3

d= 10/7

Step-by-step explanation:

Basically what you do is 12/6 and 10/7 for d, because it is the greatest and least on both sides. You do the same for b so it would be 10-7=3 and 12-6=6

Where is the camera's shutter located?

Answers

Answer: The camera shutter is located inside the camera body.

Fun Fact - In the 1957 film “12 Angry Men” the focal length of the lenses in the cameras used were gradually increased to create a feeling of claustrophobia.

Which property of addition is shown? f + 0 = f

Answers

Answer: Additive Identity Property

Step-by-step explanation:

Additive Identity Property: The sum of any number and zero is the original number. For example 5 + 0 = 5.

Review the following equation. Redo the work for the equation. What is the
value of x?
2(x + 1) = x - 4(x-2)
2x 2 = x-4(x-2)
2x2 = x - 4x - 8
2x - 2 =-3x - 8
-6 = -5x
-6/5 = x

What is the answer?:
x= 6/5
x= 5/7
x= 7/5
x= -3/5

Answers

Answer:
x = 6/5

Step by step explanation:

2x + 2 = x - 4x + 8

2x + 2 = -3x + 8

2x + 3x = 8 - 2

5x/5 = 6/5

x = 6/5

What is the slope of the line that passes through the points:
(6,-4), (15,-4)

Answers

Answer:

The slope is 0

Line is y= -4

Step-by-step explanation:

Select the most precise and correct definition of parallel lines from among those that are given.

A.Two distinct lines are parallel if they are in the same plane and never intersect each other.

b.Two distinct lines are parallel if they point in the same direction.

c.Two distinct lines are parallel if one can be rotated to sit on top of the other.

Answers

a will be the answer to the question

Solve for x and y: 10x=5y+5 y=2x-1

Answers

Answer:

So there are infinite solutions along the line y = 2x-1

Step-by-step explanation:

10x=5y+5

y=2x-1

Substitute y into the first equation

10x = 5(2x-1) +5

10x = 10x-5+5

10x = 10x

This is always true

So there are infinite solutions along the line y = 2x-1

What is the answer to -2r-4r=0

Answers

Answer:

r = 0

Step-by-step explanation:

First, combine like terms:

(-2r - 4r) = 0

(-6r) = 0

Isolate the variable, r. Divide - 6 from both sides:

(-6r)/-6 = (0)/-6

r = 0/-6 = 0

r = 0 is your answer.

~

Answer: R=0

Step-by-step explanation:

Kathy wants to do a fundraising for her school. She can’t sell more than 6 pies of cheese pizza and she can sell at least most 5 pies of pepperoni pizza. Kathy can only have a total of 10 pizza pies. Hint: Kathy can’t sell negative pies of pizzas.

What is the two inequalities?

Answers

Answer:

x≤6

y≤5

x+y≤10

Step-by-step explanation:

R/5 = 4/7 solve for r

Answers

Answer:

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Step-by-step explanation:

R/5 = 4/7

Cross-multiply (numerator * opposite denominator = numerator * opposite denominator)

R(7) = 5(4)

Multiply

7R = 20

Divide both sides of the equation by 7

R = 20/7

Simplify

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Hope this helps :)

the volume of a bucket of water is 864 cubic inches. how many buckets are needed to fill a 7 cubic foot tank?

Answers

Answer:

We have the relation:

1ft = 12 inches.

Then, if we cube both sides, we have:

(1ft)^3 = (12 in)^3

1ft^3 = 288 in^3.

Now we know that:

The bucket is 864 in^3

The tank is 7 ft^3.

knowing that 1 ft^3 = 288in^3

Then 7 ft^3 is seven times that:

7ft^3 = 7*(1ft^3) = 7*(288in^3) = 2016 in^3

Now the number of buckets needed to completely fill the tank is:

N = (2016 in^3)/(864in^3) = 2.33

So you need 2.33 buckets, or we can round it up to 3 buckets, where the third bucket will have some water inside it when the tank is completely filled.

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