The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.
From the information given;
3x + y = -2 ----- (1)
y = 2x +3 ----- (2)
By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:
3x + (2x + 3) = -2
3x + 2x + 3 = -2
5x + 3 = -2
5x = -2 - 3
5x = - 5
x = -5/5
x = -1
From equation (2), let's replace the value of x = - 1 into equation (2);
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
Learn more about substitution method here:
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Solve the |4X -5|= |-X +5|
Recall the definition of absolute value:
[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]
Then we have a few cases to consider:
• If [tex]4x-5\ge0[/tex] and [tex]-x+5\ge0[/tex], the equation simplifies to
[tex]4x-5 = -x+5 \implies 5x=10 \implies \boxed{x=2}[/tex]
• If [tex]4x-5<0[/tex] and [tex]-x+5\ge0[/tex], we get
[tex]-(4x-5) = -x + 5 \implies -3x = 0 \implies \boxed{x=0}[/tex]
• If [tex]4x-5\ge0[/tex] and [tex]-x+5<0[/tex], then
[tex]4x-5 = -(-x+5) \implies 3x=0 \implies x=0[/tex]
but we already have this solution.
• If [tex]4x-5<0[/tex] and [tex]-x+5<0[/tex], then
[tex]-(4x-5) = -(-x+5) \implies -5x = -10 \implies x=2[/tex]
which we also already found.
arithmetic sequence, can anyone help with this questions plz?
Answer:
Add 2/3
Step-by-step explanation:
2/3 + 2/3 = 4/3 + 2/3 = 6/3 (or 2) + 2/3 = 8/3 +2/3 = 10/3
Simplify
[tex] \binom{2x + y \: \: 3y}{6 \: \: \: \: \: 4} = \binom{6 \: \: 0}{6 \: \: 4} [/tex]
Find x and y
Answer:
I am hacker
Step-by-step explanation:
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
you have a pathetic life
Answer:
By comparing ,
2x + y = 6
3y = 0
y= 0/3
•°• y = 0
2x + y = 6
2x + 0 = 6
2x = 6
x = 6/2
•°• x = 3
hope it helps :)
What is 7*1893/2? Help please
Multiply first then divide:
7*1893 = 13251
13251/2 = 6625.5
Answer: 6625.5
A restaurant worker earns a set amount per hour from their employer. They also receive tips from customers. Their
earnings most closely rese]nble those of which of the following?
a. An employee working on straight commission
An employee working on commission plus salary
An employee working on a piece-rate basis
An employee working on a fixed salary
b.
C
d.
Please select the best answer from the choices provided
Ο Α
B
оооо
D
Mark this and return
Save and Exit
Next
Submit
Answer:
an employee working on commission plus salary.
Step-by-step explanation:
salary is the hourly rate
commission is tips
Answer:
B - An employee working on commission plus salary
Step-by-step explanation:
(3x+14)= (7x+4)
Find X
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=5/2
Decimal Form:
x=2.5
Mixed Number Form:
x=2 1/2
Step-by-step explanation:
r (90 degree) (def) for d (0,5) e (-2,8) f(-3,-5)
Answer:
d'(5,0) e'(8,2) f(-5,3)
Step-by-step explanation:
When rotating 90 degrees clockwise you only flip the x,y coordinates and changes the x
Example- (4,5) would become (5,-4)
Work out the missing percentages in these problems. See if you can spot the impossible problem which cannot be answered!
Answer: please read the explanation :)
Step-by-step explanation:
Make the precent a whole number then subtract it form 100 then the answer turn it to a percent :)
1) 100 - 65 = 35 = 35% of boys in the class
2) 100 - 27 = 63 = 63% of skirts that are not red
3) 100 - 78 = 22 = 22% non swimmers
4) 100 - 43 = 57 = 57% what he got wrong
5) 100 - 45+42 = 13 = 13% the games they tied
6) 100 - 28+35 = 37 = 37% who chose football
7) 100 - 38 = 62 = 62% are dogs
8) 100 -35 = 65 = 65% scored over average
9) 100 -12 = 88 = 88% percent
10) 100 - 6 = 94 = 94% can ride the bike
Hope that helps if you need more explanation please send me :)
f (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20
Three roots of this polynomial function are −1, 1, and 3 + i.
Which of the following describes the number and nature of all the roots of this function?
f (x) has two real roots and one imaginary root.
f (x) has three real roots.
f (x) has five real roots.
f (x) has three real roots and two imaginary roots.
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
The function is degree 5, so will have 5 roots in total. 2 real roots and one complex root are shown. Complex roots come in pairs, so there will be one more, but cannot be two more.
f(x) has three real roots and two imaginary roots.
__
All five roots must be accounted for. This leaves out the first two choices. The given complex root eliminates the third choice.
Answer:
D
Step-by-step explanation:
did the test
HELP PLEASE I'll give Brainly
Answer:
A is a 2 in the tenth place of the difference
If a line crosses the y-axis at (0, -3), what is the y-intercept?
Answer:
Isnt it -3?
Step-by-step explanation:
Student council raised $670 earlier this year. Then they held a raffle. In total they raised $1,350. Write an equation an solve for the amount raised at the raffle.
Answer:
1,350-670=R
Step-by-step explanation:
R means Raffle
Pls Find the value of x
[tex]x + 104 + 28 = 180 \\ (140 + 28 = 132) \\ x = 132[/tex]
[tex]\sf\longmapsto x + 104 + 28 = 180[/tex]
[tex]\sf\longmapsto x = (104 + 28) = 132[/tex]
[tex]\sf\longmapsto x = 132[/tex]
HELP PLEASEE
What is the range of the graph below?
Answer:
d
Step-by-step explanation:
range is how far the graph goes from bottom to top.
Ordering decimals
Order these numbers from least to greatest.
1.509, 1.4062, 1.6, 1.56
Answer:
1.4062, 1.509, 1.56, 1.6
Step-by-step explanation:
1509/1000, 14062/10000, 16/10, 156/100
15090, 14062, 16000, 15600
1.4062, 1.509, 1.56, 1.6
HELP
Lyndie is making reduced copies of a photo that measures 25 centimeters in height. She sets the copy machine to an 80% size
reduction.
PART A
Write a percent equation that represents
the relationship of the height of the first
copy to the height of the original photo.
PART B
Lyndie wants to make another copy that
will have a height of 17 cm. The copy
machine settings increase or decrease in
increments of 5%. Which photo should she
make her copy from, the original or her
first copy? Explain.
Answer: 5+ba*7= 88
Step-by-step explanation:
What is the solution of this inequality? r−6>−11
Answer:
r > -5
Step-by-step explanation:
r - 6 > -11
+ 6 + 6
---------------
r > -5
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Pls help I’ll brainlest help I’m failing do it on a paper and put it in the answer box
Which sign makes the statement true?
A. <
B. >
C. =
Look at the graph below. What is the y-intercept?
Answer:
- 2 is the answer:)
Step-by-step explanation:
Wherever the line crosses on the y thats the answer
Help help math math math
Answer:
113
Step-by-step explanation:
The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3
180-67=113
Answer:
∠3 measures 113°
Step-by-step explanation:
These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.
∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.
[tex]x+67=180\\x=113[/tex]
∠3 measures 113°
2 procedimientos por favor
Answer:
184.8
Step-by-step explanation:
385/25×12
385÷25=15.4
15.4×12=184.8
i need help plz help
Answer:
I believe its the nucleus
Step-by-step explanation:
Not entirely sure though, but its what I would pick
1. Write
500 + 40 + 7 +
6 x (1/10) +
8 X (1/100) +
3 x (1/1000)
in standard form.
answer part B and yeaa don’t mind my answers
Answer:
you are correct
Step-by-step explanation:
please i need help on the question
Answer:
A
D
B
C
Step-by-step explanation:
We can simplify the expressions for easier comprehension:
A. 60.7 x 10^-1 = 6.07
B. 6.07 x 10^3 = 6,070
C. 0.67 x 10^4 = 6,700
D. 6.7 x 10^2 = 670
Now, we can order them in ascending order (least to greatest):
A
D
B
C
From a horintal lengh of 101" and a rise of 13 inches over that lengh what is the angle of rise
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 13/101
x = arctan(13/101)
x = 7.334379 approximately
x = 7.33
Pre college need withh
Answer:
Step-by-step explanation:
f(9) = |9 + 9| = |18| = 18
f(-4) = |-4 + 9| = |5| = 5
f(0) = |0 + 9| = |9| = 9
pretty boring examples as you're always taking the absolute value of a positive number.
what do you suppose f(-12) is???
f(-12) = |-12 + 9| = |-3| = 3
At noon, a tank contained 8 in. of water. After several hours, it contained 6 in. of water. What is the percent decrease of water in the tank?
Answer:
25%
Step-by-step explanation:
8-6=2
2/8=0.25
0.25×100=25%
What is 0.25 as a percentage
Answer:
25% that is ur answer
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Have a great day or night!