Answers
[tex]\\ \sf\longmapsto 2x+y=2[/tex]
[tex]\\ \sf\longmapsto 2x=2-y[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]
And
[tex]\\ \sf\longmapsto x+1=y+2[/tex]
[tex]\\ \sf\longmapsto x=y+2-1[/tex]
[tex]\\ \sf\longmapsto x=y+1[/tex]
Put the value[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]
[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]
[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]
[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]
[tex]\\ \sf\longmapsto 3y=0[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]
[tex]\\ \sf\longmapsto y=\infty[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Answer:
x=1 , y=0
Step-by-step explanation:
2x+y=2.......1
x+1=y+2
x-y=2-1
x-y=1...... 2
from equation 2 we get ,
x-y=1
x=1+y
putting the value of x in equation 1 we get,
2*(1+y) +y=2
2+2y+y=2
2+3y=2
3y=2-2
3y=0
y=0/3
y=0
putting the value of y in equation 2 we get,
x-0=1
x=1+0
x=1
hence x=1 , y=0
Related Questions
If a person invests $190 at 8% annual interest, find the
approximate value of the investment at the end of 10 years.
Answers
Answer:
$410
Answer From Gauth Math
Step-by-step explanation:
This the problem of compound interest
If any amount P is invested at rate of r% per year then its value after n years is given by
amount =
______________________________
Given
p = $190
r =8%
n = 10 year then
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answers
Answer:
a. (0,-5)
Step-by-step explanation:
I need help this is urgent
Write an equation of the line below
Answers
Hence, y= 4-x
Help me solve this thanks to who ever will I really appreciate it
Answers
Answer:
135
Step-by-step explanation:
The equation is 135+90+x=360. x=360-(225)=135
5.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5
A. 11, –7
B. 5, –1
C. 1.73, –1.73
D. 1, 3
Answers
Hope this help
Answer:B. 5, –1
Step-by-step explanation:
Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Answer:
Step-by-step explanation:
The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:
[tex]3=x\sqrt{2}[/tex] so
[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]
Enter the repeating digit:
[tex] \frac{2 }{3} = 0. \frac{?}{?} [/tex]
Answers
Answer:0.6666...
Step-by-step explanation:
Dividing
Help me please I need this
Answers
Answer:
2 times
Step-by-step explanation:
3/4 × 2 = 6/4, simplified down is 3/2
Answer: the answer is a
Solve the system using substitution.
X = Y-4
2x + 3y = 12
Answers
Answer:
Step-by-step explanation:
If you know that x = y - 4, you can plug that value into the equation 2x + 3y = 12 for x. This would look like:
2(y - 4) + 3y = 12
Simplify:
2y - 8 + 3y = 12
5y - 8 = 12
add 8 to both sides
5y = 20
divide both sides by 5
y = 4
Now, substitute y = 4 back into the equation x = y - 4:
x = 4 - 4
and simplify:
x = 0
This means that the answer is x = 0 and y = 4.
Answer:
(0, 4 )
Step-by-step explanation:
Given the 2 equations
x = y - 4 → (1)
2x + 3y = 12 → (2)
Substitute x = y - 4 into (2)
2(y - 4) + 3y = 12 ← distribute and simplify left side
2y - 8 + 3y = 12
5y - 8 = 12 ( add 8 to both sides )
5y = 20 ( divide both sides by 5 )
y = 4
Substitute y = 4 into (1) for corresponding value of x
x = 4 - 4 = 0
solution is (0, 4 )
Help me with this pls !
Answers
Answer:
awnser G
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
y and x² are corresponding angles and are congruent, that is
y = x²
Then
[tex]\frac{y^3}{3}[/tex] = [tex]\frac{(x^2)^{3} }{3}[/tex] = [tex]\frac{x^6}{3}[/tex] → H
Please help pleaseeee
Answers
Answer:
False
Step-by-step explanation:
When you compare the dots to the numbers, you can see that the 5s and 8s don't match.
The dot plot has 6 5s, but the data has 5.
The dot plot has 2 8s, but the data has 1.
I hope this helps!
pls ❤ and give brainliest pls
Organize the data set:
8,7,5,5,4,2,3,3,4,6,5,4,5,5
2,3,3,4,4,4,5,5,5,5,5,6,7,8
False
If x+y = nx+2 then x equals
Answers
Answer:
x+y = nx+2
⇔x-nx = 2-y
⇔x(1-n) = 2-y
⇔x = (2-y)/(1-n)
Answer:
Hello,
Step-by-step explanation:
x+y=nx+2
x-nx=2-y
x(1-n)=2-y
if 1-n ≠0 (or n≠1) then
[tex]x=\dfrac{2-y}{1-x}[/tex]
Which is 1/3+1/4?
FASTBRIDGE!!
Answers
Find equivalent fractions for both
1
3
and
1
4
The lowest number which 3 and 4 can both divide into is 12
1
3
×
4
4
=
4
12
and
1
4
×
3
3
=
3
12
We can write this easier like this:
1
3
+
1
4
=
4
+
3
12
=
7
12
ONLY add the numerators
Answer link
Option B is 1/3 + 1/4.
1/3 + 1/4 is equal to 7/12.
Here, we have,
To find the sum of 1/3 and 1/4, you need to have a common denominator.
The common denominator of 3 and 4 is 12.
To make the fractions have the same denominator, you can convert them as follows:
1/3 = (1/3) * (4/4) = 4/12
1/4 = (1/4) * (3/3) = 3/12
Now that both fractions have a denominator of 12, you can add them together:
1/3 + 1/4 = 4/12 + 3/12 = (4+3)/12 = 7/12
Therefore, 1/3 + 1/4 is equal to 7/12.
now, from the given options, we have,
in option B. it is indicating that,
2/6 + 1/4
=> 1/3 + 1/4.
Hence, Option B is 1/3 + 1/4.
To earn more on addition click:
brainly.com/question/29560851
#SPJ6
The fence around Stan's rectangular backyard is 48 feet. His yard is 3 feet longer than twice its width. What is the length of Stan's yard?
Answers
Answer: Length = 17 ft
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.
Let x be the width
Let 2x + 3 be the length
Given information
Perimeter = 48 ft
width = x
length = 2x + 3
Given expression deducted from the question
Perimeter = 2 (l + w)
Substitute values into the expression
48 = 2 (2x + 3 + x)
Combine like terms in the parentheses
48 = 2 (2x + x + 3)
48 = 2 (3x + 3)
Expand parentheses and apply the distributive property
48 = 2 · 3x + 2 · 3
48 = 6x + 6
Subtract 6 on both sides
48 - 6 = 6x + 6 - 6
42 = 6x
Divide 6 on both sides
42 / 6 = 6x / 6
x = 7
Find the value of length
Length = 2x + 3 = 2(7) + 3 = 14 + 3 = [tex]\boxed{17}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Mears Taxi charges a $ 3.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.75 per mile. Katie has no more than $ 16 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?
Answers
Answer:
About 16 miles
The equation:
.75x+3.95
At 16 miles Katie will have spent $15.95.
Answer:
16 miles
Step-by-step explanation:
3.95 + .75m < 16
Subtract 3.95 from each side
3.95 -3.95+ .75m < 16-3.95
.75m < 12.05
Divide each side by .75
.75m/.75 < 12.05/.75
m <16.066666666
Rounding to the nearest mile
m < 16
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the mode of the data set that consists of 8, 18, 4, 2, 3, 7, 11, 13, 5, 1.
A. 6
B. 7.2
C. no mode
D. 17
Answers
Answer:
No mode
Step-by-step explanation:
There are no any numbers which are repeated. So there is no mode.
Answer:
The answer is C.no mode because the mode of a data set is the number that occurs most frequently in the set. To easily find the mode, but the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
please help me
I need help
Answers
Two more than 4 times the cube of a number is 34.
Answers
Answer:
2
Step-by-step explanation:
4x^3 + 2 = 34
4x^3 = 32
x^3 = 8
x=2
The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.
Answers
[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]
heaviest[tex]\bold{=5.69\ g\\\\}[/tex]
lightest[tex]\bold{=5.65\ g\\\\}[/tex]
Evaluating each expression:
[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]
Learn more:
brainly.com/question/20845315
What are the solutions to the system of equations? {y=2x2+6x−10 y=−x+5
Answers
Explanation:
y = 2x^2 + 6x - 10 (1)
y = - x + 5 (2)
=> 2x^2 + 6x - 10 = - x + 5
2x^2 - 7x - 15 = 0
(2x - 3)(x + 5) = 0
=> 2x - 3 = 0
2x = 3
x = 3/2
=> x + 5 = 0
x = -5
According to (2):
y = -x + 5
y = -(-5) + 5
y = 5 + 5 = 10
y = -x + 5
y = -(3/2) + 5
y = -(3/2) + 10/2
y = 7/2
Answer:
I think this is mistake because y=2x^2+6x-10 y=x+5 this is the right
X+3y=2 and y=2x+3
Please explain using substitution method.
Answers
- X + 3Y = 2 (*)
⇔X = 2 - 3Y (1)
- Y = 2X + 3 (2)
(1),(2)⇒ Y = 2(2 - 3Y) +3
⇔ Y = 4 - 6Y + 3
⇔ Y = 1 (**)
(*),(**)⇒ X + 3×1 =2
⇔ X = -1
Help me plz it’s due today
Answers
Answer:
10x²−9x
Step-by-step explanation:
10x²−10x−6+x+6
=10x²−10x−6+x+6
Combine Like Terms:
=10x²−10x−6+x+6
=(10x²)+(−10x+x)+(−6+6)
=10x²−9x
I hope this answer helps you out! Brainliest would be appreciated :)Answer:
10x^2=9x
Step-by-step explanation:
Add them together into one equation
10x^2 - 10x - 6 + x + 6
Now add like terms. The -6 and 6 cancel eachother out since they equal 0
10x^2 - 10x +x
You should get 10x^2 - 9x
[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]
Answers
please mark this answer as brainlist
What is -2 + 5(9 − 12)
Answers
Answer:
-17
Step-by-step explanation:
-2 + 5(9 − 12)
PEMDAS
Parentheses first
-2 + 5(-3)
Then multiply
-2 -15
Subtract
-17
Answer:
-17
Step-by-step explanation:
hope this helps
Suppose a line passes through (a, -11) and (7,13), and is parallel to the line
y =2x + 8, What is the value of a? Write the equation of the line
Answers
Answer:
a=19
Step-by-step explanation:
The slope of the equation is - 2 as it's parallel to the given line. Using two point slope form, (13-(-11))/(7-a)=-2. 24=-2(7-a), - 12=7-a, a=19
Answer:
see explanation
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 )
y = 2x + 8 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes
Calculate the slope between the 2 given points and equate to 2
Using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (a, - 11) and (x₂, y₂ ) = (7, 13)
m = [tex]\frac{13-(-11)}{7-a}[/tex] = [tex]\frac{13+11}{7-a}[/tex] = [tex]\frac{24}{7-a}[/tex] , then
[tex]\frac{24}{7-a}[/tex] = 2 ( multiply both sides by 7 - a )
2(7 - a) = 24 ( divide both sides by 2 )
7 - a = 12 ( subtract 7 from both sides )
- a = 5 ( multiply both sides by - 1 )
a = - 5
--------------------------------------------------
y = 2x + c ← is the partial equation
To find c substitute (7, 13) into the partial equation
13 = 14 + c ⇒ c = 13 - 14 = - 1
y = 2x - 1 ← equation of parallel line
Let's make some smores! Chocolate bars come in packs of 8 and graham crackers come in packs of 12. What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?
Answers
Answer:
3 chocolate bars and 2 graham crackers
Step-by-step explanation:
8 times 3 equals 24
12 times 2 equals 24
At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for
$45.99, and shirts for $14.99 each. How many shirts did you buy?
Answers
Answer:
3
Step-by-step explanation:
Total Money Spent = $170.86
Cost of each jeans = $39.95x2 = 79.9
Cost of each Jacket = $45.99
Cost of each shirt = $14.99
=79.9 + 45.99
=125.89
=170.86 - 125.89
=44.97
=44.97 / 14.99
=3
Answer From Gauth Math
The expression 2r^2+18x +40 has a greatest common factor of 2.
Once the GCF is factored out, what are the two binomial factors
left that complete the equation.
what are the 2 missing binomial factors?
Answers
2(x^2+9x+20)
2(x^2+5x+4x+20)
2{x(x+5)+4(x+5)}
2(x+5)(x+4)
what percentage of 225 is 11.25?
Answers
What's 179 square root
Show how
Answers
Answer:
The square root of 179 rounded up to 7 decimal places is 13.3790882. It is the positive solution of the equation x² = 179.
