Solve the system of linear equations by substitution. x−y=5 x+3y=9

Answers

Answer 1

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

Substitute y in the x+3y=9

[tex]x + 3(x - 5) = 9 \\ x + 3x - 15 = 9 \\ 4x = 9 + 15 \\ 4x = 24 \\ x = 6[/tex]

Substitute x = 6 in any given equations. I will choose to substitute in y = x-5

[tex]y = x - 5 \\ y = 6 - 5 \\ y = 1[/tex]

The answer is (6,1)


Related Questions

The function LaTeX: c\left(t\right)=1.75+0.85\left(t-1\right)c ( t ) = 1.75 + 0.85 ( t − 1 ) represents the cost to call China as a function of the time, in minutes, t, on the phone. When will the cost first exceed $57?

Answers

Given:

The cost to call China as a function of the time, in minutes, t, on the phone is

[tex]c(t)=1.75+0.85(t-1)[/tex]

To find:

The time when the cost first exceed $57.

Solution:

The cost first exceed $57 means cost is greater than $57.

[tex]c(t)>57[/tex]

[tex]1.75+0.85(t-1)>57[/tex]

[tex]0.85(t-1)>57-1.75[/tex]

[tex]0.85(t-1)>55.25[/tex]

Divide both sides by 0.85.

[tex]t-1>\dfrac{55.25}{0.85}[/tex]

[tex]t-1>65[/tex]

[tex]t>65+1[/tex]

[tex]t>66[/tex]

Therefore, after 66 minutes the cost to call china will exceed $57. It means first at t=67 the cost will exceed $57.

Stefanie is painting her bedroom. She can paint square feet in of an hour. How many square feet can she paint in one hour?
A. 24 2/3


B. 18 1/2


C. 30 5/6


D. 46 1/4

Answers

Answer:

You don't have any numbers in the question so this isn't possible to be answered. Feel free to add the numbers under this comment, if you still need help.

What are the angles of M N and P

Answers

ANSWER:
M = 37 degrees
N = 84 degrees
P = 59 degrees

Rule: Three interior angles of a triangle add up to 180.

Step 1: FIND ‘X’)

M + N + P = 180
4x - 3 + 9x - 6 + 6x - 1 = 180
19x - 10 = 180
19x = 190
x = 10

Step 2: SUBSTITUTE ‘X’ INTO EACH ANGLE EQUATION)
M = 4(10) - 3
= 40 - 3
M = 37

N = 9(10) - 6
= 90 - 6
N = 84

P = 6(10) - 1
= 60 - 1
P = 59

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!

Answers

Answer:

C. Unnumbered steps

Step-by-step explanation:

Unnumbered steps would not be a characteristic of paragraph proof. This is because it does not come to a conclusion to state a amount or detail.

help me pls
Square RSTU is inscribed in circle P. Given the coordinates for the vertices of the square, find the equation of circle P.
R(0, 4), S(6, 2), T(4, -4), and U(-2, -2)

Answers

9514 1404 393

Answer:

  (x -2)² +y² = 20

Step-by-step explanation:

The center of the circle is the midpoint of either diagonal of the square. The midpoint of RT is ...

  (R +T)/2 = ((0, 4) +(4, -4))/2 = (4, 0)/2 = (2, 0)

The square of the radius is the square of the distance between the center any any point on the circle. The distance (squared) from the center to R is ...

  d² = (x2 -x1)² +(y2 -y1)²

  d² = (0 -2)² +(4 -0)² = 4 +16 = 20

The circle with radius² = r² and center (h, k) has equation ...

  (x -h)² +(y -k)² = r²

Our circle has (h, k) = (2, 0) and r² = 20, so the equation is ...

  (x -2)² +y² = 20

which one is greatest 1/2 or 5/9

Answers

5/9 is greater than 1/2

In a survey of 2,300 people who owned a certain type of​ car, 920 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

40 percent were satisfied

Consider the function f (x) = 3x – 2 and the function g(x), which is represented by the table below. x 1 3 5 7 9 g(x) 3 7 11 15 19 Which of the following statements about f(x) and g(x) is true? Select all that apply. The line represented by f(x) crosses the x–axis to the right of the line represented by g(x). The y–intercept of f(x) is smaller than the y–intercept of g(x). The lines represented by f(x) and g(x) are parallel. The values of f(x) and g(x) are the same at x = 3. The slope of f(x) is smaller than the slope of g(x).

Answers

Answer:

A and c

Step-by-step explanation:

Find the slope of the following set of ordered pairs.
(6, 3) (4, 8)

Answers

The answer is -5/2......

Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday. Instead of purchasing the play pass, Alice pays for
each activity separately.

• This week Alice played laser tag twice and climbed the rock wall 3 times, spending $31.

. Last week Alice played laser tag 4 times and climbed the rock wall once, spending $27.

Using the information provided, how much does main event charge, in dollars, to climb the rock wall?

A. $5
B. $7
C. $4
D. $8

Answers

Answer:

C

Step-by-step explanation:

Stephanie has 334
bags of soil to put in her garden. Each bag of soil will cover 125.3 ft2. How
many square feet will Stephanie be able to cover if she uses all these bags of soil?

Answers

Answer: 41,850.2 ft^2

Step-by-step explanation:

125.3*334=41,850.2 ft^2

Jackets cost $15 and a set of decorative buttons costs $5. The delivery fee is $5 per order. The expression 15 n + 5 n + 5 gives the cost, in dollars, of buying jackets with buttons for n people. Which is another way to write this expression?

Answers

Answer:

20 n + 5

Step-by-step explanation:

15 n + 5n + 5

15n + 5n = 20n

(20n + 5)

What is the value of y when x=8?

Answers

Step-by-step explanation:

i believe the answer is y=24

a reciprocal is a number that

Answers

The reciprocal of a number is 1 divided by the number. The reciprocal of a number is also called its multiplicative inverse. The product of a number and its reciprocal is 1. All numbers except 0 have a reciprocal.

Answer:

The reciprocal of a number is 1 divided by the number. The reciprocal of a number is also called its multiplicative inverse. The reciprocal of a fraction is found by flipping its numerator and denominator.

The reciprocal of a number is this fraction flipped upside down. In other words, the reciprocal has the original fraction's bottom number—or denominator—on top and the top number—or numerator—on the bottom. So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1. Below, you can see more reciprocals.

PLEASE MARK ME BRAINLIEST

Matrix equations question simple! Please solve and explain how to do it on the matrix calculator. (Problem from Edge) First person with answer and calculator description I will give brainliest


Thank you so much and merry Christmas!

Answers

Answer:

You have to make sure you switch C to the new answer in the calculator or else it doesn't work you big goof! (Don't worry, we're friends)

Step-by-step explanation:

Merry Christmas to you too pal!

A polynomial has been factored, as shown below:
f(x) = (x - 9)(x + 12)(x - 24)
What are the zeros of the polynomial?
1)-9,9, -12, 12, -24, 24
2) -9, 12, -24
3) 9.-12, 24
4) 9, 12, 24

Answers

To find the zeros of a polynomial, you make every factored parentheses equal to zero. You basically make the other side equal to zero and solve for x.

So,

[tex]f(x)=(x-9)(x+12)(x-24)\\0=(x-9)(x+12)(x-24)\\x-9=0\\x=9\\x+12=0\\x=-12\\x-24=0\\x=24[/tex]

Your zeros are x = 9, -12, 24

So your answer is 3) 9, -12, 24


Jan weighs 170 pounds. On Mercury, she would weigh 0.36
times this amount. How much would she weigh on Mercury?

Answers

The correct answer is 170.36 on Mercury.

h(t) = -20 + 110
h(11) =

Answers

what’s the actual question

I believe the answer is.. H(990) because -20 + 110 = 90 x 11 = 990!

what is 1 4/6 + 1 4/6 + 15/6 + 2 + 2 + 2 + 2 + 2 1/6 + 2 2/6 + 2 2/6 + 2 3/6 + 2 4/6 + 2 5/6 + 2 5/6 + 2 5/6 + 3 + 3 ?

Answers

Answer:

40.3333333333 repeating

Step-by-step explanation:

40.3 repeating that’s the anwser

HELP PLS!
What is the value of the x variable in the solution to the following system of equations?
4x+2y=6
x-y=3


A. -1
B. 5
C. -2
D. 2

Answers

Answer:

x = 2  is the correct answer :)

Please help me- thank you

Answers

Answer:

(-2x^2 - 7x +3) - ( -5x^2 + 3x - 7) =

-2x^2 - 7x +3 + 5x^2 - 3x + 7 =

3x^2 - 10x + 10

Which is equivalent to sqrt(40)

Answers

Answer:

Answer is 2 root under 20

The answer is C. 4√10

Enter an expression for the perimeter of the given figure. Simplify the expression.
19.2 in.
x + 7 in.
x + 7 in.
X + 7 in.
x + 7 in.
19.2 in.
The perimeter of the figure is
inches.

Answers

Step-by-step explanation:

2(19.2) + 4(x + 7)

= 66.4 + 4x

= 4(16.6 + x)in

find an equation for the perpendicular bisector of the line segment whose endpoints are (-7, 1) and (-1,-3)

Answers

Answer:

2y + x = -5

Step-by-step explanation:

The standard form of the equation is expressed as y = mx+c

m is the slope

c is the y-intercept

Given the coordinate points (-7, 1) and (-1,-3)

m = y2-y1/x2-x1

m = -3-1/1+7

m = -4/8

m = -1/2

Get the intercept

y = mx+c

1 = -1/2(-7) + c

1 = 7/2 + c

c = 1-7/2

c = -5/2

Get the equation

y = mx+c

y = -1/2 x - 5/2

2y = -x - 5

2y + x = -5

Hence the required equation is 2y + x = -5

24 94 is 29% of what number?
Please I need help with this ASAP

Answers

Answer:

2494 = 0.29x

x = 2494/0.29

x = 8600

Step-by-step explanation:

Determine whether the graph represents a linear or nonlinear function. Explain in a complete sentence. ​

Answers

Answer:

1. Linear

2. Nonlinear

Step-by-step explanation:

1. The line has a slope/constant rate of change

2. Contains a curve and does not have a uniform slope

Which statements can be represented by this equation? Select three options.


2n - 9.2 = n + 4/5


A. Twice a number minus nine and two-tenths is the same as number plus four-fifths.

B. Nine point two decreased by double a number is the same as the number added to four-fifths.

C. Nine point two less than twice a number is equal to the number added to four-fifths.

D. Two times the difference of a number and nine and two-tenths is equal to the number plus four-fifths.

E. Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.

Answers

C is the answer
Step by step example:

Answer:

A C E

Step-by-step explanation:

If FGH QRS, find the measure of Q

A. 9
B.28
C.11
D.34

Answers

Answer:

28°

Step-by-step explanation:

Since ΔFHG ≅ QRC, the corresponding angles are congruent:

∠F = ∠Q(2x + 10)° = (3x + 1)°3x - 2x = (10 - 1)°x = 9°

Then, the angle Q measures:

∠Q = (3*9 + 1)° = 28°

Which of the following shows the length of the third side, in inches, of the triangle below? (1 point)

A right triangle is shown. One side of the triangle is labeled shown as 73 inches. The height of the triangle is labeled as 48 inches.
Question 10 options:

1)

121

2)

Square root of 7633

3)

55

4)

Square root of 25

Answers

Answer:

2, sqrt of 7633

Step-by-step explanation:

for now, we'll leave the 3rd side as x

y using the Pythagorean theorem, we can conclude that (1) 48^2+x^2=73^2 or (2) 48^2+73^2=x^2.

1. If we conclude the x isn't the longest, the x would be 3025 which is the sqrt of 55, now is invalid because the 2 smallest sides can't be more than the longest side when they add up 55+48>73 so that is invalid

2. Then, it leaves us with only 1 choice left! concluding that the 3rd side is the longest. Which the answer is sqrt of 7633

Whats your Zodiac Sign?

Aquarius- January 20 - February 18
Pisces- February 19 - March 20
Aries- March 21 - April 19
Taurus- April 20 - May 20
Gemini- May 21 - June 20
Cancer- June 21 - July 22
Leo- July 23 - August 22
Virgo- August 23 - September 22
Libra- September 23 - October 22
Scorpio- October 23 - November 21
Sagittarius- November 22 - December 21
Capricorn- December 22 - January 19

Answers

Answer: Aquarius ♒️ UwU

Step-by-step explanation:My Birthday is 2/11/09

Answer:

Sep 11 YEAH IM KINDA CURSED

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