if 5x+3y=41 and x+y=11, then the value y-x is​

Answers

Answer 1

Answer:

[tex]y-x=3[/tex]

Step-by-step explanation:

Subtract  y  from both sides of the equation.

[tex]x = 11-y[/tex]

[tex]5x+3y=41[/tex]

Replace all occurrences of x  in [tex]5x+3y=41[/tex]  with  11 -y

[tex]x=11-y[/tex]

[tex]5(11-y)+3y=41[/tex]

simplify [tex]5(11-y)+3y=41[/tex]

[tex]x=11-y[/tex]

[tex]55-5y+3y=41[/tex]

add -5y and 3y

[tex]x= 11-y[/tex]

[tex]55- 2y=41[/tex]

Solve for  y  in the second equation.

Move all terms not containing  y  to the right side of the equation.

[tex]x=11-y[/tex]

[tex]-2y=-14[/tex]

Divide each term by  − 2  and simplify.

[tex]x=11-y[/tex]

[tex]y=7[/tex]

Replace all occurrences of  y  in  x

[tex]x=11-(7)[/tex]

[tex]y=7[/tex]

simplify.

[tex]x=4[/tex]

[tex]y=7[/tex]

Replace the variable  x  with  4  in the expression.

[tex]y-(4)[/tex]

Replace the variable  y  with  7  in the expression.

[tex](7) - (4)[/tex]

Multiply  − 1  by  4 .

[tex]7-4[/tex]

Subtract  4  from  7 .

[tex]3[/tex]

Answer 2

Answer:y-x=3

Step-by-step explanation: substitution method

5x+3y=41........ equation 1

x+y=11 .........equation 2

Since we are given two different equations in terms of two different linear equations, let us try to solve them using the concept of method of substitution:

we find that y=11-x

we will substitue y into equation 1

5x+3(11-x) = 41

5x+33-3x=41

5x-3x=41-33

2x=8

2x/2=8/2

x=4

x+y=11

then you substitute

4+y=11

y=11-4

y=7

y-x

7-4=3


Related Questions

2a + b = 3 and a - 3b = 5

Answers

Answer:

a= 2 b=-1

Step-by-step explanation:

a-3b=5

or, a= 5+3b_(i)

substituting value of a in 2a+b=3,

2×(5+3b)+b=3

or, 10+6b+b=3

or, 7b=3-10

or, 7b=-7

b= -1

substituting value of b in(i),

a=5+3b

=5+3×(-1)

=5-3

=2

Five more than the quotient of a number and 4.

Answers

Answer:

5+n/4

Step-by-step explanation:

the quotient is the number you get after dividing a number by four, you add 5 earlier in the equation so it is seperate from the division itself

Which of the following is a factor of 24x6 − 1029y3?

Answers

Answer:

3(48-343y^3)

Step-by-step explanation:

Can anyone help me on this ;-;

Answers

B, C, A are collinear because they lie on the same line.  

D, C, A are not collinear because they do not lie on the same line

The value of (V2) = (3/5) is equal to:
O 3/10
O 576
O 3/5
O 6/5

Answers

3/5 is the answer hope this helped

If a number is positive, then it is a whole number and an integer.9.Which is the conclusion of the conditional? A number is an integer.A number is either a whole number or an integer.A number is a both a whole number and an integer.A number is positive.10.Which is the hypothesis of the conditional? A number is an integer.A number is both a whole number and an integer.A number is either a whole number or an integer.A number is positive

Answers

Answer:

Two lines intersect at right angles. Conclusion: The two lines are

perpendicular.

Step-by-step explanation:

Steph answer this 1+1

Answers

Answer:

smh 2

Step-by-step explanation:

Answer:

HI

Step-by-step explanation:

u need two answers to give brainliest

Plz help me, I will give brainlest!thx!

Answers

Answer:

the slope is m=4/3

F(x)= x3
What is the domain and range

Answers

Answer:

work is shown and pictured

if x^2 = 25 then x=5 why is this statement wrong ?

Answers

Answer:

no because that symbol don't stand for multiply

What is -26/24 as a decimal?

Answers

-1.08333333333

I used a calculator

hope it helps!

Answer:

[tex]-1.083[/tex]

Step-by-step explanation:

If you want to convert [tex]\frac{-26}{24}[/tex] as a fraction, you will have to divide the numerator by the denominator.

[tex]-1.083[/tex]

[tex]Aaishathameem[/tex]

A $500 loan for 2 years at an
interest rate of 15%

Answers

Answer:

Interest rate formula

I = PRT

where,

I = simple interest

P= principle

R= annual interest

T= relevant time period

I= PRT

I=500×15/100×2

I=150

total amount formula,

A=P+PRT

where,

A=total amount

A=P+PRT

A=500+150

A=650

answer,

interest amount=$150

total amount = $650

Anyone know this one ?????

Answers

[tex]\sqrt{3}[/tex] is an irrational or not rational number.

Answer choice C is correct

Answer:

easy problem the answer is square root 3 (that weird line behind the 3)

Step-by-step explanation:

yes

Help please! What is the answer ?

Answers

Answer:

x < -3 or x > 3

second answer choice

Step-by-step explanation:

 The symbol "∨" between p and q represents a disjunction and can be replaced with the word "or" to turn p ∨ q into p or q.

Plug in x < -3 in for p and x > 3 for q, and now you have:

x < -3 or x > 3

which is the same as the second answer choice.

So, the answer is x < -3 or x > 3, or the second answer choice.

I hope you find my answer helpful.

I need help. work also so i can learn please. Thank you so much ;)

Answers

Answer:

x=8

y=7

Step-by-step explanation:

We can figure out x because opposite angles are equal.

7x-2=11x-34

-2+34=11x-7x

32=4x

8=x

We can figure out y because we know the value of x now, and we know supplementary angles equal 180.

18y=180-(11x-34)

18y=180-(11(8)-34)

18y=180-(88-34)

18y=180-54

18y=126

y=7

What is a positive times a negative

Answers

Answer:When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.

Step-by-step explanation:

Answer:It is negative + x - = -

Step-by-step explanation:

Contains (7,2) and is parallel to the graph of 5x-3y=6

Answers

(y - 2) = (5/3)(x - 7) Is horizontal and contains.


I'm not sure that's the answer but I hope it helps you with something!!

The slope-intercept form is y=5/3x-29/3.

It is required to find the equation.

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The equation of the graph

5x−3y=6

slope of line =5/3

slope of parallel to line is also 5/3

According to given question we have,

Point-slope equation for line of slope m that passes through

[tex](x_{0} ,y_{0} ):y-y_{0} =m(x-x_{0} )\\[/tex]

Point-slope equation for line of slope 5/3 that passes through

(7,2):

y-2=5/3(x−7)rearrange to slope-intercept form:

y=5/3x−35/3+2

y=5/3x-29/3

Therefore, the slope-intercept form is y=5/3x-29/3.

Learn more details about slope here:

https://brainly.com/question/3605446

#SPJ2

Find the HCF of 308 and 420.

Answers

Answer:

gcf, hcf, lcd (308; 420) = 28 = 2^2 × 7: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.

Step-by-step explanation:

use a calculator to help

3. How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2 if you worked 6 hours per day for 5 days each week?

Answers

Answer:

1.     $10,800 in 3 months

2.   $7,200 in 3 months

3.   $6,030 in 3 months

Step-by-step explanation:

3 months ( 4 weeks a month) = 4 x 3

6 hours per day for 5 days each week?

-------------------------------------

1. dog walking:

6 hr/day (5 day) x (4 weeks x 3 months) x $30/hour

$10,800 in 3 months

-------------------------------------

2.  private swim instructor

6 hr/day (5 day) x (4 weeks x 3 months) x $20/hour

$7,200 in 3 months

-------------------------------------

3.  sandwich maker

6 hr/day (5 day) x (4 weeks x 3 months) x $16.75/hour

$6,030 in 3 months

Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into each glass?

Answers

Answer:

1/8

Step-by-step explanation:

16 (cups in a gallon ) divided by 2=8=1/8

Answer:

1/8

Step-by-step explanation: divide

I have to find the probability is stuff please help

Answers

Answer:

1.) 1/2 or 50%

Step-by-step explanation:

Lemme take sum time to do 2, 3, and 4!

Solve 8x - 5y = 18 for y.
y=(Use integers or fractions for any numbers in the expression.)

Answers

Answer:

y=8/5x + 18/5

Step-by-step explanation:

subtract 8x on both sides which ends up looking like:

-5y = 18 -8x

divide -5 on both sides which ends up like:

y= 8/5x - 18/5

then u simplify, but there's not need for that because it's already simplified.

John, James, and Jennifer notice something at the beginning of the party.
a. If they were to play this game by themselves, how many ways could they line up their glasses?
b. If they were to somehow label their glasses so they could tell them apart, how many ways could they line up their glasses?
c. If the glasses were labeled before Steve started counting, how do you think that would that change Steve's answer?

Answers

Answer: b

Step-by-step explanation:

1) reflection across y = x
Use any tool you like (scribble tool,
line tool,etc) to perform the reflection.
You may also plot the points on the
graph to show where the image
should go


Answers

I’m doing this so I can ask a question

Find the 59th term of the arithmetic sequence 26,17,8

Answers

Answer:

-496

Step-by-step explanation:

The direct formula for the nth term of an arithmetic sequence is given by the formula:

[tex]x_n=a\cdot d(n-1)[/tex]

Where a is the initial term, d is the common ratio, and n is the nth term.

Let's find a and d.

From the sequence, we can see that the initial term or a is 26.

Also, each subsequent term is 9 less than the previous term. In other words, our common ratio is -9.

Therefore, our direct formula is:

[tex]x_n=26-9(n-1)[/tex]

To find the 59th term, substitute 59 for n:

[tex]x_{59}=26-9(59-1)[/tex]

Subtract:

[tex]x_{59}=26-9(58)[/tex]

Multiply:

[tex]x_{59}=26-522[/tex]

Subtract:

[tex]x_{59}=-496[/tex]

So, the 59th term is -496.

And we're done!

Answer:

-496

StepBy Step Explanation;

Naomi had $80 she bought 7 equally priced books and had $17 left how much did each book cost

Answers

Answer:

9 dollars

Step-by-step explanation:

$80 - $17 = 63

63/ 7= $9

80-17=63
63/7=9
Each book cost 9 dollars

This test will not impact your grade.
If P = (3, 1) and
Q = (-3, -7), find
The distance PQ

Answers

Answer:

10

Step-by-step explanation:

A car travels 180 miles in 4 hours what is the car speed in feet per min

Answers

Step-by-step explanation:

Four hundred thirty two miles

Combine like terms to create an equivalent expression.
3.4 - 2.8d +2.8d - 1.3

Answers

Answer:

2.1

Step-by-step explanation:

Simplifying

3.4 + -2.8d + 2.8d + -1.3 = 0

Reorder the terms:

3.4 + -1.3 + -2.8d + 2.8d = 0

Combine like terms: 3.4 + -1.3 = 2.1

2.1 + -2.8d + 2.8d = 0

Combine like terms: -2.8d + 2.8d = 0.0

2.1 + 0.0 = 0

2.1 = 0

Solving

2.1 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.


[tex]396 \times52[/tex]

Answers

396

x52

  792

19800

20592

396x52=20,592

hope it helps!

Other Questions
A baker had 1,128 cookies. She put them all in bags, with 24 cookies in each bag. What is the total number of bags that she used? The rapid, uncontrolled division of cells is called cancer. Identify the answer below that is NOT afactor that can cause cancer.O Solar radiationO Family geneticsO PesticidesO E. Coli Bacteria HELP ME WHO IS MORE RIGHT? what reasons could Lincoln have for making such a move during the Civil war? 4(2x+1)-(-2+8x) : use the distributive property and combining like terms to simplify Which of the following challenges did La Salle and his colonists encounter when they tried to set up a French colony at the mouth of the Mississippi River? i. They were attacked by the Iroquois. ii. La Salle was killed in a storm on the journey to North America. iii. They overshot their destination. iv. The colonists were plagued by disease and starvation. A. i. and iv. only B. iii. and iv. only C. i., ii., and iii. only D. i., ii., iii., and iv. Did Freehling support slavery? Mr. smith thinks his new smoothie recipe is the best ever. He believes it gives people more energy and also helps them lose weight. In order to prove this, he sets up an experiment. He randomly assigns 1/3 of his subjects to drink 1 smoothie per day for 10 weeks. The next 1/3 are andomly assigned to drink one smoothie per week for 10 weeks. The rest are assigned to 1 large cup of water per day for 10 weeks.What is the control group?a) 1 smoothie per dayb) 1 smoothie per weekc) 1 large cup of water per dayd) no control group Do you think kids should have phones? please use the RACE strategy. The main goal of the American Revolution was to establish a constitutional monarchy. fight high inequality. gain independence. strengthen Parliament. The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced? 2 and 2/5 multiplied by 5 A boy walked 22 m East then 43 m West , and then 3 meters East. What is the sum of the boys motion. What is the slope of the line that contains the points (-2,5) and (6,-3)? O A. 1 O B. -8 O C. -1 O D. 8 2.) From where do lion cubs get their chromosomes? How does this happen to produce the pattern that you see? what is 0.32 as faction 3. My pineapple curd recipe calls for 4 of a cup of sugar. The only clean measuring cup I haveleft is the half-cup. How many scoops of sugar using the half-cup measuring cup do I need inorder to double the recipe? Can I get the answer plz Describe the error in the work shown below.Find an expression equivalent to 18 + 30.Factors of 18:1,2,3,6,9, 18Factors of 30:1,2,3,5,6, 10, 15, 3018 + 30 = 6(3 + 10) Need help Wireless data networks are particularly susceptible to known ciphertext attacks.A. TrueB. False