Answers
Answer:
x=2 y=−1 so (2,-1)
Step-by-step explanation:
2x+y=3
x=3y+5
Consider the second equation. Subtract 3y from both sides.
x−3y=5
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the results for that variable in the other equation.
2x+y=3,x−3y=5
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
2x+y=3
Subtract y from both sides of the equation.
2x=−y+3
Divide both sides by 2.
x=1/2(−y+3)
Multiply 1/2 times −y+3.
x=−1/2y+3/2
Substitute y+3/2 for x in the other equation, x−3y=5.
−1/2y+3/2−3y=5
Add −y/2 to −3y.
−7/2y+3/2=5
Subtract 3/2 from both sides of the equation.
−7/2y=7/2
Divide both sides of the equation by −7/2, which is the same as multiplying both sides by the reciprocal of the fraction.
y=−1
Substitute −1 for y in x=−1/2y+3/2. Because the resulting equation contains only one variable, you can solve for x directly.
x=−1/2(−1)+3/2
Multiply −1/2 times −1.
x=1+3/2
Add 3/2 to 1/2 by finding a common denominator and adding numerators. Then reduce the fraction to the lowest terms if possible.
x=2
The system is now solved.
x=2,y=−1
Graph for reference:
Related Questions
Help me plz I don’t get it
Answers
Answer:
39.52 L
Step-by-step explanation:
10.4x3.8
1 gallon = 3.8 liters
3.8x10=38 The closest one is H
What is the quotient of 65.8 : 8
Answers
Answer:
Step-by-step explanation:
The answer should be 8.5 I think
Find the area of a rectangle with a width of 2/3 inches and a height of 8 inches. (*just put the number, square inches)
Answers
Answer:
[tex]\frac{16}{3}in^2[/tex]
Step-by-step explanation:
the area of a rectangle is the multiplication of dimensions.
A = (2/3)in * 8in = (16/3)in^2
Malia ran 7/12 of a mile. Shona ran 3/4 of a mile. Who ran further?
Answers
Answer:
Shona ran farther
Step-by-step explanation:
3/4 *3/3 is 9/12 and 9/12 is bigger than 7/12
Answer:
Shona
Step-by-step explanation:
Both fractions have different denominators. To get a better picture of who ran further, let's have both fractions have the same denominator.
Let's convert the smaller denominator to the bigger one.
In order to do this, we will multiply top and bottom by 3:
[tex]\frac{3}{4} *\frac{3}{3} \\\frac{9}{12}[/tex]
Now, we compare the two fractions by seeing which numerator is closer to denominator.
From this comparison, the converted fraction, [tex]\frac{9}{12}[/tex] is closer to 12.
Therefore, Shona ran further.
Find the coordinates of the indicated point after performing the described transformation on triangle ABC
Answers
Answer:
DUDE YOU USE SCHOLOGY!!
Wait is your name andy from the inbox mail tab?? Arent you in 6th grade??
I think I know you man!!
Step-by-step explanation:
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
A right trapezoid with top side 7 feet and height 7 feet. The bottom side is extended to the right with 5 more feet.
a
45.5 square feet
b
63 square feet
c
66.5 square feet
d
84 square feet
Answers
Answer:
66.5 square feet
Step-by-step explanation:
We have to find the area of the doghouse which is in the shape of right trapezoid . that is, Substitute the values, we get, Hence, Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.
ALRIGHT HERE IT IS FOR MCKEE
Answers
Answer:
1) -16<x
2) 8>x
3) 10≤x
Step-by-step explanation:
1) -16<x
2) 8>x
3) 10≤x
Answer:
question 6 is -16>x
question 7 is 8>x
question 8 10<=x
WILL GIVE EXTRA BRAINLST
HAVE A NICE DAy
Answers
Answer:
They should both be irrational
Step-by-step explanation:
:)
Have a nice day too!
a ladder needs to reach a second story window that is 13 ft above the ground and make an angle with the ground of 68°....
Answers
Answer: The answer would h=13Sin63deg
Step-by-step explanation:
Idrk, I just caculated it on paper-
Am I right here? If not what is the answer?
Answers
Answer:
750 m
Step-by-step explanation:
Theorem:
In a triangle, a segment whose endpoints are the midpoints of two sides is parallel and half the length of the third side.
In triangle LMN, segment DF has endpoints which are midpoints of sides LM and MN. That makes segment DF parallel to side LN and half the length of LN.
The shortest path from point D to point N is segments DF and FN.
Point F is the midpoint of segment MN.
MN = 800 m
FN = (1/2)MN = (1/2)(800 m) = 400 m
From the theorem,
DF = (1/2)LN
DF = (1/2)(700 m) = 350 m
shortest path = DF + FN = 350 m + 400 m = 750 m
Answer: 750 m
How many millimeters are there in 5.14 meters? 51,400 millimeters 5,140 millimeters 514 millimeters 514,000 millimeters
Answers
There are 5,140 millimeters in 5.14 meters, so the answer is B. :) please mark thanks!
giving brainliest to
whoever answers this
correctly
8^2x-3=(1/16)^x-2
Answers
Answer:
x = −
6
Step-by-step explanation:
Nearly Positive hope i helped :)
Algebra II Part 1
Triangle ABC is reflected over the x-axis. Triangle ABC has points A (-6, -1), B (-2, -1), and C
(-5, -6). What is the A coordinate?
Be sure to put coordinates
in parentheses
Answers
Answer:
JjKjKjKk
Step-by-step explanation:
Simplify the following expression. 10x + 6 + 2(x + 5)
Answers
Answer:
12x+10
Step-by-step explanation:
10x+2(x+5)
10x+2x+10
12x+10
Which is the graph of a logarithmic function?
Answers
please help thank you smuch
Answers
Answer:
these are real solutions
what is the surface area of the pyramid???
Answers
Answer:
B
Step-by-step explanation:
B is correct
Hope this helps!!!
A bathtub holds 132 gallons of water. Water is draining from the tub at a rate of 6 gallons every minute. How long will it take for the bathtub to drain completely?
A. 792 min
B. 36 min
C. 22 min
D. 136 min
Answers
Answer: C
Step-by-step explanation:132/6=22
Answer:
Step-by-step explanation:
132-6t=0
-6t=-132
t=22 minutes
The reciprocal of 5 is 5/2 True False
Answers
Answer:
False
Step-by-step explanation:
FalseFalseFalse
Answer:
true
Step-by-step explanation:
This isn't a math question. Hellooo!!! Can someone pls help me??? how does racial discrimination relate to economic statification? :))) If you don't want to.... I mean..... It's okay..... :)))
Answers
How many different meal combinations are possible if he chooses one type of sandwhich, one snack, and one drink ?
Answers
Answer:
12 different possibility
Step-by-step explanation:
1- pbj, cookie, juice
2-pbj, cookie, milk
3-pbj, cookie water
4-pbj,brownie, juice
5-pbj, brownie milk
6-pbj, brownie water
7-turkey, cookie, juice
8-turkey, cookie, milk
9-turkey, cookie, water
10-turkey, brownie, juice
11-turkey, brownie, milk
12-turkey, brownie, water
Please answer and explain ILL MARK BRAINLIEST
Answers
Answer:
a) x²-x-6
b) 2x²-11x+12
c) x²-4
Step-by-step explanation:
See image!
please hurry i will mark brainliest
Answers
Answer:
Q (8,0)
R (8,9)
S (5,0)
Step-by-step explanation:
I counted how many places is each point away from the line and then I counted the same amount of places on the other side in order to find the reflected angle.
(fractions 5th grade) 2/4 + 3/4=?
Answers
Answer:
5/4
Step-by-step explanation:
They are like fractions.
So, [tex]\frac{2}{4} + \frac{3}{4}[/tex] can be written as [tex]\frac{2+3}{4}[/tex]
Thus the answer is [tex]\frac{5}{4}[/tex].
Mixed Number Form: 1 1/4
Need the help asp!!!
Answers
Answer:
It would be 8
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
Anna is going to invest in an account paying an interest rate of 5.1% compounded
continuously. How much would Anna need to invest, to the nearest hundred dollars,
for the value of the account to reach $47,000 in 14 years?
Answers
Answer:
it’s 23000
Step-by-step explanation:
someone help!! i’ll give brainliest
Answers
14+2p+6
20+2p
15 / 8 hfhhhfshsfhsfhfshfshfshsfhsf
Answers
Donna makes 8 dollars for each hour of work write an equation to represent her total pay p after working h hours
Answers
Answer:
8h = P
Step-by-step explanation:
you do the amount she makes and hour (8$) multiply by the number of hou hours (h), and make it equal the total pay (P). So you would write 8h = P (8$ for each hour equals her total pay for those hours)
What is the volume of a cube with a side length of 2/3 cm? *