Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.

X+y=4

{

X-y=2

Answers

Answer 1

Answer:

The solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]x+y=4[/tex]

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

solving the system of the equations

[tex]\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}[/tex]

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

[tex]-[/tex]

[tex]\underline{x+y=4}[/tex]

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

solving

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

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-2}{-2}[/tex]

[tex]y=1[/tex]

[tex]\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1[/tex]

[tex]x+1=4[/tex]

[tex]x=3[/tex]

Therefore, the solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]


Related Questions

Confused on the steps and I need help

Answers

9514 1404 393

Answer:

  3) y = -1

  5) x = -14

Step-by-step explanation:

The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.

__

3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:

  y = -1

__

5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:

  x = -14

What is the nature of the solution set to the following system of equations?
5x - y = 2
2x -0.5y = 3

O One solution at (-4,-4)
O Infinitely many solutions
O One solution at (-4,-22)
ONo solutions​

Answers

Answer:

One solution at (-4, -22)

Step-by-step explanation:

5x - y = 2

y = 5x - 2 --(1)

2x - 0.5y = 3 --(2)

sub (1) into (2):

2x - 0.5(5x - 2) = 3

2x - 2.5x + 1 = 3

-0.5x = 2

x = -4

when x = -4, y = 5(-4) - 2 = -22

The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

5x - y = 2   .. (i)

2x - 0.5y = 3  .. (ii)

Now, We can simplify as;

From (i);

5x - y = 2

y = 5x - 2

Put above value in (ii);

2x - 0.5 (5x -2) = 3

2x - 2.5x + 1 = 3

- 0.5x = 2

x = - 4

From (i);

y = 5 × - 4 - 2

y = - 20 - 2

y = - 22

Thus, The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

The lines below are parallel. If the solid line has a slope of 1, what is the
slope of the dashed line?

Answers

Answer:

The lines below are parallel. If the slope of the solid line is –3

Step-by-step explanation:

someone help I’ll give Brainlist

Answers

Answer:

-8/9z - 3

Step-by-step explanation:

Answer:

(-8/9)z-3=(blank)

Step-by-step explanation:

((5/9)-(6/9)-(7/9))z+3-6= (-8/9)z-3

you get -8/9 by taking 5 and subtracting the 6 and 7 from it since they have the same denominators

the solution to -2x + 8 = -10

Answers

Answer:9

Step-by-step explanation:

-2x+8=-10

-2x=-18

X=9

Answer:

9

Step-by-step explanation:

Subtract

8

8

8

from both sides of the equation

2

+

8

=

1

0

-2x+8=-10

−2x+8=−10

2

+

8

8

=

1

0

8

-2x+8{\color{#c92786}{-8}}=-10{\color{#c92786}{-8}}

−2x+8−8=−10−8

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

9Subtract

8

8

8

from both sides of the equation

2

+

8

=

1

0

-2x+8=-10

−2x+8=−10

2

+

8

8

=

1

0

8

-2x+8{\color{#c92786}{-8}}=-10{\color{#c92786}{-8}}

−2x+8−8=−10−8

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

9

Ms. Baker makes 9 out of 10 free throws. Mrs. S. Brown makes 10 out out of every 12 free
throws. Who is better at making free throws?

Answers

Answer:

ms baker

Step-by-step explanation:

9/10 = 90%

10/12= 83

Answer:

Ms.Baker

Step-by-step explanation:

9/10 > 10/12 or 0.9 > 0.833333. Next time try to make equivalent fractions with the same denominator or convert to decimal then compare.

: What is the image after (3,7) is reflected over the x-axis?
Brainly

Answers

Got the question wrong cause the other answer here is the correct answer directly from Delta Math.

(-7, -3)

Enjoy and Happy Holidays!

11kx+13kx= 6 for x
a: x=4/k
b:x=1/4k
c:x=4k
d:x=k/4
i have no clue smh

Answers

Ion have a clue either just guess C

24kx = 6

kx = 6/24

kx = 1/4

x = 1/4/k

x = 1/4k

A) X = 1/4k or the first option.

5/6 divided by 11/13

Answers

Answer:

65/66

Step-by-step explanation:

Find the reciprocal of the second number (11/13), which you find by flipping the top and bottom number so it would be 13/11. Now multiply the top two numbers which are 5 and 13, that equals 65. Multiply the bottom numbers, 6 and eleven which is 66. That is how you get 65 over 66.

Answer:

65/66

Step-by-step explanation:

5/6 * 13/11 = 65/66

how do you write 47,100 in scientific notations ?

Answers

Answer:

4.71 x 10^4

I did maf

Answer: It should be 4.71 x 104.

Sean adds up all the even integers from 2 to 500, inclusive. Julie adds up all the integers from 1 to 250, inclusive. What is Sean's sum divided by Julie's sum?

Answers

Answer:

Sean's sum divided by Julie's sum is 2.

Step-by-step explanation:

The sum of an arithmetic sequence is:

[tex]\frac{n}{2}(2a+(n-1)d)[/tex]

In Sean's sequence, a = 2, n = 250, and d = 2

In Julie's sequence, a = 1, n = 250, and d = 2

[tex]\frac{\frac{250}{2}(2(2)+(250-1)2)}{\frac{250}{2}(2(1)+(250-1)1)}\\= 2[/tex]

The Sean's sum divided by Julie's sum gives the 2.

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is ; T_n = a + (n-1)d

(for all positive integer values of n)

And thus, the common difference is T_{n+1} - T_n for all positive integer values of n

The sum of an arithmetic sequence is;

[tex]= \dfrac{n}{2}[2a + (n-1)d ][/tex]

In Sean's sequence, a = 2, n = 250, and d = 2

[tex]= \dfrac{250}{2}[2(2) + (250-1)2 ]\\[/tex]

In Julie's sequence, a = 1, n = 250, and d = 2 then;

[tex]= \dfrac{250}{2}[2(1) + (250-1)2 ]\\[/tex]

Therefore, the Sean's sum divided by Julie's sum gives the 2.

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2

At a football game, 69 out of 92 students were wearing the color red to support the home team. What percent of the students were wearing red?

A.
69%
B.
88%
C.
65%
D.
75%

Answers

Answer c

Step-by-step explanation:

Answer:

D. 75%

Step-by-step explanation:

Divide 69 by 92 and you will get 0.75, move the decimal to the right two times. and there is your answer.

help!!!!!!!!!!!!!!!!!

Answers

Answer:

5.2

Step-by-step explanation:

√27 = 5.1962 (5s.f.) = 5.2 (2s.f.)

Answer:

i hope 5.2 is the answer

Step-by-step explanation:

i m not sure

Sam buys several pairs of jeans for $16.50 each, and a shirt for $25. Louis goes to a different store and buys the same number of jeans as Sam for $17.50 each, plus a shirt for $15. Is there a situation where both will pay the same amount for their purchases?
HELP MEEEE I HAVE TO TURN IT IN IN 10 MINUTES

Answers

There is not one !!!!!

The sum of four consecutive integers is -118. What is the largest of the integers?

Answers

Answer:

-28

Step-by-step explanation:

the four number are -28, -29, -30, and -31. they are all consecutive meaning all before or after the previous number. The sum is -118 making then all negative so when you add all the negative numbers you get and even bigger negative number. it is -28 because -28 is closest to 0.

PLEASEEEEE HELPPPP ASPPPPPPP

Answers

Answer:

The answer is A because a number on it's own is a constant (30) and a number with a variable is a coefficient (12h)

4. f(x) = 1/2x - x?
f(8) =
a. 64
b. -68
C. 68
d. -60

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee hi

Step-by-step explanation:

What is 3w=6
W=
Pls help

Answers

Answer:

The answer is 2.

Step-by-step explanation:

hope that helps

3w=6

divide by 3 both side

3w÷3=6÷3

W=2

x - 2y = 4
3x +2y = 4

Answers

Answer:

tje answer is (2,-1) to this

please need this asap!!
will give brainliest <3

Answers

Answer:

-0.02, -0.15, -0.2, -1.2

Step-by-step explanation:

The closer a negative number is to 0, the greater it is.

Answer:

-0.15,-0.02,-0.2,-1.2

I hope this helps

To convert 36 mL to L, you would move the decimal point ____ places to the ____.

Answers

Answer:

3

left

Step-by-step explanation:

1000/36=0.036

hope this helps

The amount of money in my account went from being $5 to $8, what is the percent increase?

Answers

I’ll tell u if u answer mine

d) A company increased the monthly salary of its employees by 20%. If an employee
gets Rs 6000 now, find his previous salary.​

Answers

Answer: 4800
______________
Explanation:

6000* 20/100= 1200
6000-1200= 4800

HELPPP

Solve for b 2 in A = h(b 1+b 2), if A = 16, h = 4, and b 1 = 3.

b 2 =

Answers

Answer:1

Step-by-step explanation: substitute all the corresponding terms so you get, 16=4(3+b2)

Then you multiply and get 16=12+4b2 then subtract 12 from both sides to get 4=4b2 and then divided both sides by 4 and you get 1=b2

Answer:1

Step-by-step explanation: A = h(b 1+b 2)

16=4(3+b2)

16/4=3+b2

4=3+b2

B2 =4-3=1

Simplify 2 x2 - y for x = 3 and y = -2.

A. 10
B. 14
C. 20
D. 16

Answers

Answer:

B. 14

Step-by-step explanation:

okay we are going to place 3 where the x variable is and -2 where the y variable is in the equation 2 x2 - y

2 (3*2) - (-2)

the equation now looks like this:

2(6) - (-2)

Since the subtraction sign is in front of the negative number the negative number will turn positive making the equation look like this:

2(6) + 2

we are now going to do the order of operations by multiplying 6 by 2 before adding 2:

6 * 2 = 12 + 2 = 14

So the equation 2 x2 - y = 14

What is the coefficient of this expression?

3 + 4y +5

Your answer:

3


4


5


x

(Need nOw!!)

Answers

Answer:

4

Step-by-step explanation:

Define coefficient:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).

Hope this helped.

PLS I RLLY NEED HELP I MIGHT GIVE BRAINLIEST Just pls help

What is the equation in slope-intercept form of a line that is perpendicular to y=1/3x+2 and passes through the point (3, 1)?
A) y= 3x - 10
B) y=-3x + 10
C) y=-1/3x+2
D) y= 1/3x - 10

Answers

Answer:

y=3x-7

step by step explaination:

Answer:

not an answer but nice pfp

I need help with another one! Thankyou guys this means alot to me

Answers

Answer:

9.5 = y

Step-by-step explanation:

You have to use the cosine function equation.

cos(38) = [tex]\frac{y}{12}[/tex]

Multiply 12 on both sides.

12cos(38) = y

Solve.

9.46 = y

Answer:

9.5

Step-by-step explanation:

y is the adjacent side of the given 38 degree angle. You are given the hypotenuse of right angle triangle. So the trig function that you need to use is the Cosine

Cos(38) = y / 12

multiply both sides by 12

12*cos(38) = 12*y/12

12*cos(38) = y

12*0.7880= y

y =9.456

help me please, thx​

Answers

90 degrees clockwise

Answer:

C.

F.

   Please mark brainliest hit the crown thanks :)

Question 8 (1 point)
(03.02 MC)
Given the function f(x) = 2(x + 6), find x if f(x) = 22. (1 point)
56
Ob
Сл.
38

Answers

22= 2(x+6)
divide on both sides by 2
11= x+6
subtract by 6
5=x
i’m not sure if I read the question right though

Answer:

1 question: Question 8 (1 point) (03.02 MC) Given the function f(x) = 2(x + 6), find x if f(x) = 22. (1 point) 56 Ob Сл. 38

Step-by-step explanation:

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