What is the solution to the system of equations?



y = 2x -1



y = -x +5

Answers

Answer 1

x= −2 and y=3

I can't explain this very well, sorry.

Answer 2
The solution is:

x= 4/3

y= 11/3.

Step by step: (substitution)



2x+1=-x+5

Add x to both sides.


3x+1=5.

Subtract 1.

3x=4.

Divide by 3.


x=4/3.

Use 4/3 instead of x to find y.

y=-(4/3)+5

y= 11/3.

Hope this helped!! :)

Related Questions

A jacket usually sells for $68.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?

Answers

Answer:

$ 43.25

Step-by-step explanation:

68 - 40% = 40.8

40.8 + 6% = $ 43.25

Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0

Answers

Answer:

a) answer is "a"

b) answer is "-2b"

c) answer is "-c"

d) answer is "3c"

Step-by-step explanation:

Absolute value is positive value of something.

a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.

b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.

c<0 same as a except sign is flipped so answer is negative instead of positive.

c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.

Sorry is explanation wasn't through i'm only in middle school

a. | a | > 0, a is greater than and less than zero.

b. | 2b | if b < 0, b is not less than zero not greater than zero.

c. | c | if c < 0, c is not less than zero not greater than zero.

d.  | 3c | if c ≥ 0, c is greater than zero and less than zero.

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given,

| a | > 0

∴ a is greater than and less than zero.

| 2b | if b < 0

b is not less than zero not greater than zero.

| c | if c < 0

c is not less than zero not greater than zero.

| 3c | if c ≥ 0.

c is greater than zero and less than zero.

learn more about modulus functions here :

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Is y= - 4x + 1 proportional

Answers

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.

Hope this helps :)

Answer:

Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.

Step-by-step explanation:

Yw

Surds[tex]5\sqrt[3]{24}-\sqrt[3]{192}[/tex]

Answers

Answer:

  6∛3

Step-by-step explanation:

  [tex]\displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}[/tex]

_____

The cubes under each radical can be brought out. Coefficients of like radicals can be combined.

how many significant figures are in the number 0.3368?​

Answers

Answer:

4 significant figures are in the number 0.3368

If C = C(q) is a firm's total cost function, the quantity epsilon_{c} = q/C * (dC)/(dq) is called the elasticity of cost at the output q . Discuss the relationship between marginal cost and average cost for the intervals of being higher and lower than 1 (15 points). epsilon_{c}​

Answers

Answer:

the answer is 5,746 = c

Step-by-step explanation:

Help please anyone!!!!!!

Answers

Answer:

[tex]\huge\boxed{D)\frac{3p}{p-3} }[/tex]

Step-by-step explanation:

The first thing that can help you here is factoring every term.

[tex]p^2-4p-12[/tex]

Factor.

[tex](p-6)(p+2)[/tex]

[tex]6p+12[/tex]

Factor.

[tex]6(p+2)[/tex]

18p

Factor, keeping in mind the denominator of the other term.

[tex]6(3p)[/tex]

[tex]p^2-9p+18[/tex]

Factor.

[tex](p-6)(p-3)[/tex]

Now you have simplified your original problem:

[tex]\frac{p^2-4p-12}{6p+12} *\frac{18p}{p^2-9p+18}[/tex]

into:

[tex]\frac{(p-6)(p+2)}{6(p+2)} *\frac{6(3p)}{(p-6)(p-3)}[/tex]

Now, after multiplying the numerator and denominator of the fractions:

[tex]\frac{(p-6)(p+2)(6)(3p)}{(6)(p+2)(p-6)(p-3)}[/tex]

Then, you can simplify the fraction by cancelling terms:

[tex]\frac{3p}{p-3}[/tex]

Hope it helps :) and let me know if you want me to elaborate.

Work out the equation of
the line that goes through
(3, 2) and (-1, 10)

Answers

Answer:

[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]

Step-by-step explanation:

Let, A=(3,2)

      B=(-1,10)

So, The equation will be

[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]

Hope you have understood this.....            

ask me if you have any confusion.....            

if you liked it pls mark it as the brainliest

Answer:

y = - 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )

m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 2 )

2 = - 6 + c ⇒ c = 2 + 6 = 8

y = - 2x + 8 ← equation of line

Josh works in a balloon store he will put 45 balloons into bunches he must use the same number of balloons in each bunch the number of balloons in each bunch must be greater than one and less than 10 how many balloons could be in each bunch what I wrote was 357 balloons is that wrong or right?

Answers

Answer: 5 or 9

Find the factors of the number 45.

1, 5, 9, 15

The numbers must be greater than 1 and less than 10.

Now, we must take 5 and 9.

5 x 9 = 45

9 x 5 = 45

The answers are 5 & 9.

Step-by-step explanation:

Helppppppppppppppppppppp I need this ASAP

Answers

It’s b just trust me sorry if you don’t need it anymore

100-3x6+5-4= 63? help me its GEMDAS

Answers

Answer:

it's 86

Step-by-step explanation:

100-3x6+5-4

100-15+5-4

85+5-4

90-4

86

BRAINLIEST TO WHOEVER CAN ANSWER!!!!!



Students at Taft Middle School have a goal of collecting 1,000 pounds of recycling materials each month. The following table shows their results over a 6 month time period. Complete the table. ​

Answers

Answer:

February: +10

March: -5

April: +50

May: -25

June: -20

Step-by-step explanation:

Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.

an item is regularly priced at $20. It is on sale for 70% off the regular price. What is the sale price?

Answers

Answer:

6 dollars

Step-by-step explanation:

Hope this helps. :))

If Don drives 60 miles per hour, can he make it to the beach (200 miles away) in 3 1/2 hours?

Answers

Answer:

Yes

Step-by-step explanation:

If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:

60 * 3.5 = 210 miles

Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.

Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 46 coins consisting of pennies dimes and quarters. The number of pennies is equal to the number of dimes and the total value is $4.09. How many of each denomination of coin does he have?

Answers

We must write and solve a system of equations to see how many of each type of coin Carlos has.

The answer is:

There are 19 pennies.There are 19 dimes.There are 8 quarters.

We start by defining the variables:

x = number of pennies in the box.y = number of dimes in the box.z = number of quarters in the box.

We know there are 46 coins in total, thus:

x + y + z= 46

The number of pennies and dimes is the same, thus:

x = y

The total value of the coins in the box is $4.09, then:

x*$0.01 + y*$0.10 + z*$0.25 = $4.09

So we can write the system of equations:

x + y + z= 46

x = y

x*$0.01 + y*$0.10 + z*$0.25 = $4.09

First, we can replace x by y in the first and third equations (by using the second one) to get:

2y + z =  46

y*$0.11 + z*$0.25 = $4.09

Now we can isolate z in the first equation to get:

z = 46 - 2y

And replace that in the other equation:

y*$0.11 + (46 - 2y)*$0.25 = $4.09

Now we can solve the equation for y:

y*$0.11 + (46 - 2y)*$0.25 = $4.09

y*$0.11 + $11.50 - y*$0.50 = $4.09

y*($0.11 - $0.50) = $4.09 - $11.50

y*(-$0.39) = -$7.41

y = (-$7.41)/(-$0.39) = 19

if y = 19, then x = 19

By using the first equation:

x + y + z = 46

19 + 19 + z = 46

z = 46 - 19 - 19  = 8

We can conclude that:

There are 19 pennies.There are 19 dimes.There are 8 quarters.

If you want to learn more about systems of equations, you can read:

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which is bigger 11/18 or 5/14

Answers

Among the fractions given in this question 11/18 and 5/14,  the largest fraction is: 3/5.

Step-by-step explanation:

To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.

Resolution:

[tex]\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111[/tex]

[tex]\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714[/tex]

Conclusion:

We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.

Definition: An event that is made up of two or more outcomes is called
Example: Rolling a 5 on a die and flipping heads on a coin.

Answers

A compound event, I believe

Admission to a science museum is $22 for an adult. The cost for a child is five dollars less than the cost for an adult. What would be the total cost of admission for 12 adults and 15 children? Explain.

Answers

Adults: $22

Children: $22 - $5 = $17

22a + 17c = t

22(12) + 17(15) = t

264 + 255 = $519

The total cost of admission is $519.

Hope this helped!

Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment ​AB¯¯¯¯¯​ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)

Answers

Answer:

  A. (8 2/5, 8 2/5)

Step-by-step explanation:

You want to find point P such that ...

  AP : PB = 2 : 3

  3AP = 2PB . . . . . . . . cross multiply

  3(P -A) = 2(B -P) . . . recognize length XY = Y - X

  5P = 3A +2B . . . . .  collect P terms

  P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5

  P = (8 2/5, 8 2/5) . . . . matches choice A

I’ll give brainliest and thanks and 5 stars
Solve for c and d.

Answers

Answer:

c = 58, d = 50

Step-by-step explanation:

c = 180 - 50 - 72 = 58

d = 180 - 72 - 58 = 50

Answer:

C = 58

D = 50

Step-by-step explanation:

C is 58 as all angles on a straight line add up to 180 degrees

D is 50 as all angles within a triangle add up to 180 degrees

(72+58 = 130, 180-130 = 50)

At camp, Miriam uses a pottery wheel to make 3 bowls in 2 hours
Duane makes 5 bowls in 3 hours.
a) Who makes bowls faster, Miriam or Duane?
b) How long will it take Miriam to make a set of 12 bowls?
c) How long will it take Duane to make a set of 12 bowls?

Answers

Answer:

Hope this helps

Step-by-step explanation:

A: Duane makes bowls faster.

B) 18 hours

C) About 19.92 hours


Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.

Answers

Answer:

7/21=3/9

Step-by-step explanation:

7/21=3/9=1/3 - Ratios are basically the same as fractions

Answer:

[tex] \\ 7 \ratio21 = 3 \ratio9[/tex]

[tex] \\ \frac{7}{21} = \frac{3}{9} [/tex]

Are the ratios 8:10 and 4:5 equivalent?

Answers

Answer:

yes the ratio are equivalent

Answer:

yes they are egivalent

Step-by-step explanation:

Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.

Answers

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20


(03.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) – 11?
A: The graph of y=f(x) will shift up 11 units.
B: The graph of y=f(x) will shift right 11 units.
C: The graph of y=f(x) will shift left 11 units.
D: The graph of y=f(x) will shift down 11 units.

Answers

Answer:

its letter C

Step-by-step explanation:

yan Ang answer for me

A political strategist surveyed 100 people asking
their opinion about a new proposal. The results
are summarized in the contingency table.

Answers

Answer:

A) 24

B) 12

C) 54

Step-by-step explanation:

a+33=57

a=57-33

a=25

b+19=31

b=31-19

b=12

c=33+12+9

c=45+9

c=54

The value of A , B and C is 24, 12 and 54 respectively.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total= Men + Women

First, 57 = A + 33

A= 57- 33

A= 24

Second, 31 = 19+ B

B= 31- 19

B = 12

Third, 100= 46+ C

C= 100- 46

C= 54

Hence, the value of A , B and C is 24, 12 and 54 respectively.

Learn more about unitary method here:

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If Rick buys a remote control car for $33.00, what is his selling price?

Answers

Answer:

a

Step-by-step explanation:

(-5)^-2
Please help me

Answers

Answer:

0.04

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

don't want to write it

I just need someone to explain this to me.

Answers

Answer:

23.6

Step-by-step explanation:

Answer:

23.6 is the correct answer

Find the first six nonzero multiples of 9.

Answers

Answer: 9,18,27,36,45, and 54

Step-by-step explanation: the first 6 multiples of 9 don't have zeros in them.

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