y=x-3
y+3x=1 solve by substitution

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

x - 3 + 3x = 1

4x - 3 = 1

4x = 4

x = 1

Answer 2

Answer:

x=1, y=-2

Step-by-step explanation:

According to the substitution property, if x = y, then x can be substituted for y in any equation, and y can be substituted for x in any equation.

We are already given the values:

y=x-3

y+3x=1

We can substitute y into the equation.

As so-

[tex]x-3+3x=1[/tex]

Combine common terms:

[tex]4x-3=1[/tex]

Now solve for x. To solve for a variable, we must isolate it:

Add 3 to both sides:

[tex]4x=4[/tex]

The last thing, 4 is being multiplied to x, so we must divide it to both sides to isolate the variable.

[tex]x=1[/tex]

Now we can just substitute the x value into the y equation:

[tex]y=x-3\\y=1-3\\y=-2[/tex]

It is always better to check our answers, we can substitute our x and y into the equation:

[tex]-2+3(1)=1\\-2+3=1\\1=1[/tex]

We are right! :)) Hope it helps!

x=1, y=-2

(1,-2)


Related Questions

You buy a watch for $60. There is a 6% sales tax. What is your total cost for the watch?
(Answer is $63.60)

Use the information above to help you answer this question. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? (DO NOT INCLUDE THE TAX)
(Answer is $51.00)

Use the information above to help you answer this question. What is your friend's total cost for the watch including tax?

Answers

Answer:

$54.06

Step-by-step explanation:

Thank you for the detailed question!!

1. The watch costs $60, but it went on sale

2. The watch is now $51.

3. Now what you have to do is find the sales tax

51*6/10=3.06.

51+3.06= 54.06

The final price for your friends watch will be $54.06

XS30
Question Help
Swimming Pool On a certain hot summer's day, 494 people used the public swimming pool. The
daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $1001.25
How many children and how many adults swam at the public pool that day?

Answers

Answer:

A=307, c=187

Step-by-step explanation:

For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 120 and a standard deviation of 8. What is the probability that a randomly
selected male's systolic blood pressure will be less than 108, to the nearest
thousandth?

Answers

Answer:

0.89

Step-by-step explanation:

The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here, mean  = 110, standard deviation = 8

P = [tex]\frac{x_{mean}-x }{SD}[/tex]

P = (110 - 108)/8

P = 2/8 = 0.25

P(Z<0.25) = 0.5 - 0.25 = 0.25

Thus, The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.

Learn more about Probability from:

https://brainly.com/question/14210034

#SPJ2

The Russian ruble coin has a radius of 10.25 mm. What is the circumference in terms of Pi?

5Pi

10Pi

10.25Pi

20.5Pi

Answers

5 pi would be the answer

Answer:

the answer is 20.5Pi

Step-by-step explanation:

i tried 5pi and it was wrong, it then showed me that 20.5Pi was right

Please help me. Thank you very much. (╹◡╹)

Answers

Answer and Step-by-step explanation:

First, you find the x-value of f(x) on the graph, and find the corresponding y-value.

On the graph, we see that when we go to the x-value of -7, we are at a y-value of 0. Now, we plug this in to the g(x) function and look for the y-value on the g(x) graph.

When 0 is plugged in for x in g(x), we get the y-value to be 5.

This means that the value of g(f(-7)) is 5.

#teamtrees #PAW (Plant And Water)

Do these first gets brainliest the numbers that are small top presents how much zeros will be added to it and a thanks and 5 stars and a blessing

Answers

Answer:

Step-by-step explanation:

3: 3.702

4: 12.64

5: 0.725

6: 0.0725

7: 281.4

8: 2000 over 81 (a fraction)

9: 0.46699875

10: 36.424

:D

Which sign makes the statement true? -3 ? |3| is it greater than, less than, or equal to?​

Answers

-3<3

have an amazing day <3

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).
What is the distance from Beth’s house to the coffee shop? Each grid line on the coordinate plane represents 1 mile.
10 miles
square root of 8
square root of 52
52 miles

Answers

Answer:

the answer is c square root 52

Step-by-step explanation:

just got a 100

The distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

What is a distance formula?

The distance formula is used to measure the distance between the two points on a coordinate plane.

Let the two coordinate  point on a coordinate plane is ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]). Thus, the distance between these two can be given as,

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).

Here, each grid line on the coordinate plane represents 1 mile.

Using the distance formula for these point, the distance from Beth’s house to the coffee shop can be given as,

[tex]d=\sqrt{(4-(-2)^2)+(3-(-1))^2}\\d=\sqrt{6)^2+(4)^2}\\d=\sqrt{36+16}\\d=\sqrt{52}[/tex]

Hence, the distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

Learn more about the distance formula here;

https://brainly.com/question/661229

kelly raised flowers. in a compitions with other flower growers, she earned the scores below
8,11,11,7,9,9,8,10 what's the median mode range and mean of these numbers​

Answers

Answer:

Median: 9

Range: 4

mode: 9, 8, 11 (each appeared 2 times)

mean: 9.125 (average)

Step-by-step explanation:

Trig 2.11 graphs of tangent and cotangent

Answers

Answer:

The tangent function has vertical asymptotes where the cotangent function has value 0 and the cotangent function has vertical asymptotes where the tangent has value 0.

Please help!!!!!!!!!!

Answers

The correct answer is B

I need help plz (will give brainlyist)

Answers

Answer:

x=5/2 ft

Step-by-step explanation:

∵V=lbh

⇒15/16= 3/4×1/2×x

(15/16)÷(3/8)=x

∴x=5/2 ft

pick the Quadrant that you would plot (-6,-3)
A. Quadrant I
B.Quadrant II
C.Quadrant IV
D.Quadrant III

Answers

Answer C: Quadrant three

Question:
Simplify.
(
2
9
×
3
5
)
×
(
2
4
×
3
)
2

Answers

Answer:

The answer is 526 1760

Step-by-step explanation: You first solve for all the parenthisis then once you do that you multiply the number you get from the parenthisis by 2 to get your answer hope this helps.

What number is 60% of 35?

Answers

Answer:

21................

Step-by-step explanation:

21.................


help i will give brainly pleasereee

Answers

Answer:

the answer is 60

Step-by-step explanation:

please mark brainlts

Which number line shows the graph of x 11?
OA
+
9
10 11 12 13 14
10 11 12 13 14
+
9 10 11 12 13 14
6 7 8 9
10 11 12 13 14

Answers

Answer:

B

Step-by-step explanation:

X 11 means that x could equal 11. The number is included on the answer. So, the circle on the number line has to be closed/filled in. X could be any number equal to or greater than 11, so the number line has to be shaded to the right. :D

Flowers can contain one or both sexes of flower parts. D______ is the E_____is the E____is the G____is the All of these are male or female​

Answers

Answers-

D: Stigma

E: Style

F: Ovary

G: Pistil

All female

At the peak of a roller coaster ride, the rider's watch flew off his wrist. The height h in feet of the watch, t seconds after he lost it, is given by y= -16x^2 + 32x + 48. How many seconds did it hit the ground?​

Answers

Answer:

[tex]3 \: s[/tex]

Step-by-step explanation:

[tex]y = - 16 {x}^{2} + 32x + 48 \\ 0 = \frac{ - 16 {x}^{2} + 32x + 48 }{ - 16} \\0 = {x}^{2} - 2x - 3 \\ 0= {x}^{2} - 3x + x - 3 \\ 0= x(x - 3) + 1(x - 3) \\0 = (x + 1)(x - 3) \\ \\ x + 1 = 0 \\ x = - 1 \\ x - 3 = 0 \\ x = 3[/tex]

Hope this helps you.

Can I have the brainliest please?

Answer:

Step-by-step explanation:

You can't do anything but substitute for h and t in this question.

t = x

y = h

h = -16t^2 + 32t + 48

This is not a calculus course I don't think, so this is your answer.

oliver wants a hat that original price is $25, the store is having a 20% off sale, with this sale what is the final cost?

Answers

Answer:

$20

Step-by-step explanation:

25 x 0.2=5

25-5= 20

I need help plz!!!!!!??!?!

Answers

Answer:

3848.45

Step-by-step explanation:

half 70

35

πr^2

π×35^2

Answer:

22/7×35×2

22/7×70

= 220cm²

free 100 pointssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

You are very cool person

Answer:

Thank you for the points man I really need them to ask a huge question

Step-by-step explanation:

I answer your question, I get the points, I make the question, someone elce gets the points.

10.
The lines graphed below show the amounts of water in two tanks as they were being
filled over time.
TANK FILLING RATES
+
Amount of Water (gallons)
1,800
1,600
1,400
1,200
1,000
800
600
400
200
Tank A
Tank B
0
0.5
1 1.5 2
Time (minutes)
For each tank, explain whether or not there is a proportional relationship between
the amount of water, in gallons, and the time, in minutes. If there is a proportional
relationship, identify the unit rate. Use specific features of the graph to support
your answer
hp

Answers

Answer: Step-by-step explanation:

A proportional relationship exists. Since the graph is a straight line, you can say.

Tank A's unit rate is 666 2/3 gallons per minute. You'll figure it out by multiplying 1000 gallons by 1.5 minutes. 1000 divided by 1.5 equals 666.66 gallons, or 666 2/3 gallons.

The unit rate for Tank B is 300 gallons per minute. You can determine this by using 600 gallons in 2 minutes. 600/2 = 300 gallons per minutes

Find the Distance between -37 and 86 on a number line.

Answers

Answer:

123

Step-by-step explanation: You add 37 and 86 together to get 123

3. Jolene gets paid 17 cents a tree for tree planting up north. In one week she planted 2437 trees. What i
her wage?

Answers

Answer:

Wage of Jolene is 414.29 dollars per week

Step-by-step explanation:

Amount received by Jolene for planting a tree is 17 cents

Given

Total amount of trees planted in a week =   2437

Wage of Jolene is equal to product of number of trees planted and amount paid for planting one tree

Wage of Jolene

[tex]= 2437 * 0.17\\= 414.29[/tex]Dollars

please help

question is in the picture I will mark brainliest

Answers

Answer:

(4,0)

Step-by-step explanation:

The x intercept is where the line in the function crosses the x axis or the horizontal line

in here we can see that the line crosses the x intercept 4 "lines" from the origin so we can say the origin is (4,0)

Remember when doing points ( #,#) the first number is the x position which in this scenario is 4 and the second number is the y position and in this case it's 0

A rectangular swimming pool is 15 meters long, 10 % meters wide,
and 2 % meters deep. What is its volume?

Answers

Answer:

Volume of the pool is :393.75 cubic metres.

CHECK THE ATTACHEMENTS TOO.

HOPE IT HELPS.

Someone helppp pls :(((((

Answers

Answer:

y = ½x + 8

Step-by-step explanation:

✔️First, find the slope (m) using any two given pairs of values, say (0, 8) and (2, 9):

Slope (m) = change in y/change in x

Slope (m) = (9 - 8)/(2 - 0)

Slope (m) = 1/2

m = ½

✔️Find the y-intercept (b):

The y-inteeceot of the function would be the value of y when x = 0.

Form the table, when x = 0, y = 8. Therefore:

y-intercept (b) = 8

✔️To write the equation of the function, substitute m = ½ and b = 8 into y = mx + b.

Thus:

y = ½x + 8

This is another question:) PLEASE HELP!!!

Answers

Answer:

The Answer is your mom! :)

Step-by-step explanation:

Come up with a singular conversion factor that converts meters squared into inches squared. Be sure to show your work for each step of the process.

sorry for all the questions, but i literally dont know and you guys are helping sm♡​

Answers

Answer:

Square Meters to Square Inches Conversion 1 Square meter is equal to 1550.0031 square inches. To convert square meters to square inches, multiply the square meter value by 1550.0031.

The Least-squares problem that has minimal norm can be given using factorization.

What is  Least square method?

The least squares method is used to find the best fit for a set of data points by minimizing the sum of the offsets from the plotted curve. Singular value decomposition (SVD) is a factorization of a real or complex matrix.

here, we have,

It is a widely used technique to decompose a matrix into several component matrices, exposing many of the useful and interesting properties of the original matrix. The singular value decomposition, guaranteed to exist, is A=UΣV.

When we have the equation system Ax=b, we calculate the SVD of A as A=UΣVT. The matrices U and VT have a very special property. They are unitary matrices. One of the main benefits of having unitary matrices like U and VT is that if we multiply one of these matrices by its transpose (or the other way around), the result equals the identity matrix.

The singular value decomposition (SVD) of matrix A is very useful in the context of least squares problems. It is also very helpful for analyzing the properties of a matrix.

To know more about the Least square method,

brainly.com/question/22513087

#SPJ2

Complete question:

calculate least squares solution using svd a matrix has the singular value decomposition what is the solution to the least-squares problem that has minimal norm ?

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