solve the system y= 4x + 1 and 3x+2y =13

Answers

Answer 1

Given :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}[/tex]

[tex]{\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}[/tex]

Now, Substituing the value of y in equation (ii) :

[tex]{\qquad \sf \dashrightarrow \: 3x + 2y = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 13 - 2 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 11 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }[/tex]

[tex]{\qquad \sf \dashrightarrow \bf \: x = 1 }[/tex]

Now, substituting the value of x in equation (i) :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4(1) + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4 + 1}[/tex]

[tex]{\qquad \bf \dashrightarrow y= 5}[/tex]


Related Questions

Find the value of x for the triangle.

Answers

The sum of all the angles in a triangle is 180 degrees, so we get the equation:

  [tex]55 + 54 + (x + 74) = 180\\x + 183 = 180\\x = -3[/tex]

The value of x is -3.

Hope that helps!

Answer:

(x+74)+55+54=180

x= -3

Please help meeeeeee

Answers

Answer:

a) 45°=x

b) not

................

I NEED HELPPPPPPLLLPLEASE

Answers

Step-by-step explanation:

variability = larger range

can you put your answer below

Brainliest if correct

Answers

Answer:

[tex]\frac{2}{3} + \frac{1}{5} = \frac{10}{15} +\frac{3}{15} = \frac{13}{15}[/tex]

PLEASE BRANLIEST ANSWER IS CORRECT I CHECKED

Step-by-step explanation:

First, find the least common denominator which is 15.

[tex](\frac{5}{5})\frac{2}{3} + (\frac{3}{3})\frac{1}{5}[/tex]

When we multiply by 5/5 or 3/3 we are not changing the value of the fraction, just turning the denominator into one which we can work with the other fraction's denominator.

After simplification:

[tex]\frac{10}{15} + \frac{3}{15}[/tex]

Now we can add:

[tex]\frac{13}{15}[/tex]

Answer:

13/15

Step-by-step explanation:

because 5 x 2=10                  3 x 1=3

              5 x 3=15                5 x 3=15

   10/15+3/15= 13/15

Evaluate −2x2−4x+3 when x=−2.

Answers

Answer:

-2 x 2 - 4x + 3

If x = -2, then . . .

-2 x 2 -(-4 x -2) + 3

-2 x 2 + 8 + 3

The answer is 7

-2x2-4x+3 = 7

I know this because of

( )

Exponents

x or /

+ or -

-2x2-4(2)+3 = 7 because x=3 so,

-2x2-8+3

7

Choose the number equal to: -9 • (-1/3) A) -27 B) -3 C) 3 D) 27

Answers

The Answer is A because 1/3

How many ninth does it take to make the same amount as one third

Answers

We just need to multiply the number by 3

Answer:

3

Step-by-step explanation:

you have 1/3, to find out how many ninths you have, you must multiply the denominator by three (because 3*3=9). whatever you multiply on the bottom you must multiply on the top (if you don't do that then it's not the same as 1/3 anymore)

therefore 1/3 == (1*3)/(3*3) == 3/9

if you want to know how many twelves it was then you multiply by 4 to get 12 on the bottom:

1/3 == (1*4)/(3*4) == 4/12

therefore 1/3 == 3/9 == 4/12. they are all the same fraction

Write an equation of the form y = mx for the line shown below. If appropriate, use the decimal form for the slope.

Answers

Answer:

y=3/4x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-3))/(4-(-4))

m=(3+3)/(4+4)

m=6/8

m=3/4

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

9. Which of the following is an equilateral triangle?​

Answers

D because all the sides are equal

Answer:

d

Step-by-step explanation:

The dashes on the sides of the triangles mean that they are equal in length.

Isosceles triangle: 2 sides of equal length

Equilateral triangle: 3 sides of equal length

Triangle a doesn't have any dashes, so all the sides are different length.

Triangle b has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle

Triangle c has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle

Triangle d has 3 sides that each have the same number of dashes, so these sides are equal in lengthEquilateral triangle

Solve x / by 2.4 =12.7

Answers

Answer:

30.48

Step-by-step explanation:

...

Answer:

30.48

Step-by-step explanation:

2.4x12.7=30.48

Help me! Please.✅✅✅✅✅✅

Answers

Answer:452.38934211693

Step-by-step explanation:

Zoe walks 13of a mile every 25of an hour.

How many miles does Zoey walk per hour?

Answers

Answer:

25/13 miles in an hour

Step-by-step explanation:

So she walks 1/13 mile per 1/25 hour.

To find the miles in an hour, just multiply the 1/25 hour by 25/

1/25 hour * 25 = 1 hour.

1/13 mile * 25 = 25/13 miles in an hour

Help please it's urgent

Answers

Answer:

7.6

Step-by-step explanation:

please make me brainliest

Answer:

it’s me on another account make my other title brainliest now :D

Step-by-step explanation:

The sum of the measures of two angles is 127.6º. One angle has a measure of 63º. What is the measure of the second angle?​

Answers

Answer:
64.6 degrees

Step-by-step explanation:

127.6 degrees - 63 degrees= 64.6

Question 3
It takes 2 2 hours to type a 7-page report. It takes / hour to photocopy the 11 copies of the report.
How long did it take to complete the report? (Tick appropriate box)
0 4 Hours
3 Hours and 45 minutes
O 2 Hours and 45 minutes

Answers

Answer:

3 Hours and 45 minutes

Step-by-step explanation:

2 hours and 30 minute 11/4 is 1 hour and 15 minutes add that and its get 3/45

HELP PLEASE I NEED ANSWER NOW

Answers

Answer:B

Step-by-step explanation:

I think it should be B u= -1

h/5-28=-8 what does h equal?

Answers

Answer:

H=100

Step-by-step explanation:

To solve H simply simplify both sides of the equation then isolate the variables.

Hope it helps!!!!!!!!!!Brainliest pls!!!!!!!!!!

Answer:

h=100

Step-by-step explanation:

h/5 -28=-8

put like terms together( unknowns on one side, knowns on the other)

h/5= -8+28  

h/5= 20

Multiplying both sides by 5 to get rid of the denominator

5(h/5) =5(20)

h=100

can you help me with my math

5! + 50​

Answers

Answer:

170

Step-by-step explanation:

[tex]5!+50\\\\(5*4*3*2*1)+50\\\\120+50\\\\170[/tex]

Question

5! + 50

Step-by-step explanation:

about factorial

5!

=5 × 4 × 3 × 2 × 1

=20 × 3 × 2 × 1

=60 × 2 × 1

=120 × 1

=120

the result of the factorial 5! is 120

now we just add 120+50

120 + 50

120

50

———+

170

so the result of 5! + 50 is 170

I hope this helps

Use the Pythagorean Theorem to find the distance between (-3, 4) and (6, 1). Show all calculations.

Answers

Answer:

9.48683

Step-by-step explanation:

using the formula:

d = √((x2-x1)2 + (y2-y1)2)

Find the difference between coordinates:

(x2-x1) = (6 - -3) = 9

(y2-y1) = (1 - 4) = -3

Square the results and sum them up:

(9)2 + (-3)2 = 81 + 9 = 90

Now Find the square root and that's your result:

Exact solution: √90 = 3√10

Approximate solution: 9.4868

Learning POST-Qunz Greatest Common Factor - Item 31123 Ques Drag each pair of numbers to show if their greatest common factor (GCF) is less than 6, equal to 6, or greater than 6 CLEAR CHE 8 and 20 18 and 45 4 and 10 12 and 28 12 and 30 16 and 24 GCF is less than 6. GCF is equal to 6. GCF is greater than 6. DRAG AND DROP ITEMS DRAG AND DROP ITEMS HERE DRAG AND DROP ITEMS HERE be here to search 昌 52°​

Answers

The common factors for 24,36,12 24 , 36 , 12 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF (HCF) of the numerical factors 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 is 12 .

i need help on this question

Answers

Answer:

Step-by-step explanation:

∠WTX = ∠WUV (facing same arc WV)

9x + 18 = 15x

6x = 18

x = 3

In ΔXUV,

∠VXU = 180 - 15x - (3x + 21)

= 180 - 18x - 21

= 159 - 18(3)

= 159 - 54

= 105°

A plumber charges $50 to visit a house plus $40 for every hour of work. Define a variable to represent the unknown quantity. Then write an expression to represent the total cost of hiring a plumber.

Answers

Answer:

50 + 40x

Step-by-step explanation:

my equation is - 3 = X + 8

Answers

Answer:

X=-11

Step-by-step explanation:

Isolate the varible. Substract 8 on both sides to get X equals -11

X would equal -11
Hope this helps!

Can someone please help me.

Answers

Its figure A cause see how it says small squares thats the one

thanks

your gurl unique

A. Fill in the missing even or odd numbers.
- 16
1) 6, 8, 10,
2) 38, 42, 46,
58
3) 80, 74, 62, 56,
4) 61, 63, 65, _ 71
5) 109, 107, 105,99

Answers

1) 12, 14

This is the answer because each increasing number was increased by 2, so if you add 2 to 10, you'd get 12. If you add 2 to 12, you would get 14.

2) 50, 54

Same explanation as above but for the number 4.

3) 68, 50

Same explanation as 1, but with subtracting the number 6.

4) 67, 69

Same as number 1

5) 103, 101

Same as number 3 but subtracting the number 2

Hope this helps!!! :)

Graph the following function: y=−sec(x+π/4)+2

Answers

That should be the correct answer

Maria has 7 gallons of water. Josh has 24 quarts of water. How many more cups of water does Maria have than Josh​?

Answers

Answer: Maria has 16 more cups of water than Josh

Step-by-step explanation:

Answer:

38.51

Step-by-step explanation:

1 gal: 19.21 cups

7 gal x 19.21 cup = 134.51 cups

1 quart: 4 cups

24 x 4 = 96 cups

134. 51 - 96 = 38.51 cups

Have an amazing day!

PLEASE RATE!

00
1
Which number makes the sentence true?
-3,834 = 2,470
OA. 6,304
ОВ.
6,305
OC. 6,314
OD. 1,364

Answers

Answer:

The answer for this question is 6,304

Question 1
Which statement describes the basis for the proof that vertical angles are congruent?
А
Two adjacent angles are always supplementary
B.
Two adjacent angles that form a linear pair are congruent.
с
Two angles that are each supplementary to a third angle are congruent.
D
Two angles that are each complementary to a third angle are congruent.

Answers

Answer:

C

Step-by-step explanation:

On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.

The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

What are vertical angles?

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In the provided figure.

∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)

∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)

According to transitive property, if a = b and b = c then a = c

Therefore,

∠1 + ∠2 = ∠1 + ∠4...(iii)

⇒∠2 = ∠4

Similarly, we can prove that

∠1 = ∠3

Therefore, we conclude that vertically opposite angles are always equal.

Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Thus, statement c is correct.

Find out more information about vertically opposite angles:

https://brainly.com/question/18045519

#SPJ2

How to find angles C and D.

Answers

Answer:

c = 21º

d = 100º

Step-by-step explanation:

In questions like this, always find the angles you can find and it will help you find more and more.

So let's start by finding angle e. We know that the sum of the angles in any triangle is equal to 180. So let's do 180 - (20 + 20) = 140

angle e = 140º

Now we don't know either C or D and are unable to find them with only e, so let's find other angles to help us. The 4 angles that aren't known at each corner of the square are easy to find, as we know for sure that they fully equal to 90º. So 90 - 20 = 70º. Both angles at the bottom corners = 70º. Now for the top corners: top left = 90 - 30 = 60º and top right = 90 - 40 = 50º.

As well as this, we can find a and b as well, but I think you already figured that out. angle a: 180 - (30 + 40) = 110º, angle b: 360 - (140 + 110) = 209º

Now we can figure out c and d, because we know that the sum of all angles in any quadrilateral is 360º. So the trapezium on the left, angle c: 360 - (70 + 60 + 209) = 21º. And finally right trapezium, angle d: 360 - (70 + 140 + 50) = 100º

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