solve the Simultaneous equations : x+y=5; x-y=1​

Answers

Answer 1

Answer:

x=3 and y=2

Step-by-step explanation:

These equations line up quite nicely, so let's use the elimination method.

x+y=5

+ x-y=1

-------------

2x=6.

Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides

x=3.

Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.

3+y=5.

We subtract 3 from both sides to get y=2.

We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.

Have a nice day :)


Related Questions

How would you solve for x and y and what are x and y? Not sure what to do.

Answers

Answer:

x = 26 2/3

y = 50

Step-by-step explanation:

you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles

2y - 3x = -3x + y + 50

add 3x to each side to get:

2y = y + 50

y = 50

also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line

3/2y + 25 - 3x = 180

subtract 25 from each side to get:

3/2y - 3x = 155

substitute 50 for 'y' to get:

3/2(50) - 3x = 155

75 - 3x = 155

-3x = 80

x = 26 2/3

Pls help me i only have 20 mins

Answers

Answer:

In bold below.

Step-by-step explanation:

Part 1A: 60 hours * $11.50.

Ashly's GMI is $690.00

Part 2A: To find out how much Ashly's income goes towards technology, we need to find out how much 10% of $690.00 is. To do that, multiply 690 * 0.1. You'll get $69.00.

$69.00 goes towards Ashly's technology.

Part 2B: To find out how much she spends on lunch, we must do the same as above, only replacing 0.1 with 0.02. 690.00 * 0.02 = 13.8

$13.80 goes towards Ashly's technology.

Part 2C: $13.80 + $69.00 = $82.80

$82.80 is Ashly's monthly deductions.

Part 3A: If Ashly's annual salary is $8,280, we divide that by 12 to see how much she gets per month.

 Ashly's GMI is $690.00

variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5

Answers

Answer:

16.3x

17. 8y

18.x+y

I thing these are the answers of these equations

x + 3 is not the same as 3x

A shop increases all its prices by 10%. Calculate the new price for an article which was previously sold for £7,500

Answers

Answer:

Your answer is 8250

Step-by-step explanation:

STEPS:

7500 x (1+0.1)

7500x1.1 = 8250

Hope this helped :)

HELP ASAP

Solve for the measure of ∠PMR

Answers

Answer:

116*

Step-by-step explanation:

Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.

Tell me if I'm wrong :)

1. 1. MP.5 Use Appropriate Tools Carla had a piece of rope that was 14 in. long. She used some of the rope for a crafts project. Now there is 14 in. left. How much rope did she use? Use the number line to help.​

Answers

Answer:

4/8, 1/2

Step-by-step explanation:

7/8 - 3/8 = 4/8

4/8 >>> divide both by 4

4 divided by 4 = 1

8 divided by 4= 2

1/2 Inches

When you graph a linear equation, it will
form a:
Select one:
a.
curve
O b. square
С.
line
d. all of the above.
Help.

Answers

Answer:

straight line, C

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

I hope this helps.

I need help pls help me

Answers

Answer:

$1,270

Step-by-step explanation:

let x be the total amount of ice cream sold without tax

x + (x*0.0635)=21270

1.0635x=21270

x=20,000

so the amount he needs to send to state is

21270-20000

1,270

Total cost of icecream without cost be x

[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]

[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]

[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]

Amount to be paid

[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]

what are the four functions that are increasing on the interval

Answers

Answer:

Tbh i don’t really know

Step-by-step explanation:

Ask someone else

Identity function
Cubing function
Reciprocal function
Sine function

HELLLP-
What is the location of the origin?
(0,0)
(1,1)
0
(10,10)

Answers

The origin is where the y axis and x axis meet which is (0,0)

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

I think the answer is B.

Step-by-step explanation:

Answer:

c. 81x^2 -4y^2

Step-by-step explanation:

Area of full square - area of white square.

Find the missing dimensions: Use the scale factor 1/4:3

Answers

Answer:

The answer is 1/4!

Step-by-step explanation:

I believe it’s 1/4 I’m not sure sorry if I’m wrong

which of the following is not a true dilation?

A. The image and preimage have congruent angles

B. The image and preimage have proportional sides

C. The image and preimage are congruent

D. The image and preimage are similar

Answers

Answer:

umm i think it is B.

Step-by-step explanation:

What’s the product of 2.6

Answers

Answer:

2×6=12

Step-by-step explanation:

Select all the rates equivalent to the rate 3/4 cup per pound

Answers

Answer:

Step-by-step explanation:

Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.


14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
weighed 13 lb 5 oz. Find the percent of increase in the baby's
weight. Round to the nearest tenth

Answers

Answer:

I'm an island boii ️️

When resting, a spring measures 73.3 millimeters. When the spring is
compressed, it measures 51.29 millimeters. Find the percent of
decrease in the length of the spring. Round to the nearest percent if
necessary

Answers

Answer:

  -30%

Step-by-step explanation:

The percentage change in length is given by ...

  percent change = ((new length) -(original length))/(original length) × 100%

  = (51.29 -73.3)/73.3 × 100%

  = -22.01/73.3 × 100% = -0.30027 × 100%

  = -30%

The decrease in the length of the spring was 30%.

Answer:

30

Step-by-step explanation:

because divide

The table gives information about the heights of 50 trees. Work out an estimate for the mean height of the trees.

Answers

Answer:

add h then divide by 2 for h times f

Step-by-step explanation:

Find the measure of each angle indicated.

Answers

Step-by-step explanation:

92°

as the has given pair of angle is Alternate Exterior angle so they have same values.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Solve for x then y.
y+10=-1/6(x-6)

Answers

Answer:

y= -x/6-9

x= -6y-54

Step-by-step explanation:

A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.

Answers

The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.

Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.

Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{11}{4}[/tex]

Tan θ = 2.75

θ = [tex]Tan^{-1}[/tex] 2.75

  = 70.0169

θ = [tex]70^{o}[/tex]

Considering triangle formed by the tower and the stake to determine the value of l, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]70^{o}[/tex]  = [tex]\frac{23}{l}[/tex]

l = [tex]\frac{23}{Cos 70^{o} }[/tex]

 = [tex]\frac{23}{0.3420}[/tex]

l = 67.2515

l = 67 feet

The length of the guy wire is 67 feet.

For more on trigonometric, check: https://brainly.com/question/6459892

Lines A and B have
the same y-intercept,
but different slopes.
Both slopes are
negative.

PARALLEL PERPENDICULAR OR NEITHER

Answers

Answer:

Neither

Step-by-step explanation:

Since line a and b have different slope, it isnt parallel, and since the slopes both negative, its not an opposite reciprocal, so that isnt perpendicular, thus leading to neither

The circumference of a circle is 20pi m. find its diameter,in meters

Answers

Answer:

20 m

Step-by-step explanation:

Circumference formula:

C = πd

Substitute and solve for d:

20π = πdd = 20π/πd = 20

If the radius of a circle equals 20 cm find its circumference correct to one decimal place

Answers

Answer:

125.66

Step-by-step explanation:

i don't get the one decimal place part but there your answer

The answer is 125.7 correct to one decimal place

solve for q
q/-2+17=13

q=

Answers

Answer:

q = 8

Step-by-step explanation:

-q/2 + 17 = 13

subtract 17 from each side to get:

-q/2 = -4

to isolate the 'q', multiply each side by -2 to get:

q = 8

someone help me pls
i need it now
just simply choose the letter of the correct answer​

Answers

Answer:

Step-by-step explanation:

1. D

2. A

3. A

4. B

5. B

dont know the rest sorry

Someone please help me. Thank you!

Answers

Answer:

y = -1/2x

Step-by-step explanation:

Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.

Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b   into   y = mx + 0. Since it's 0, let's just drop it out of our equation.

So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x

It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.

please help!! this is for my geometry class

Answers

Answer:

x = 48°

Step-by-step explanation:

The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°

The 3 angles on the base line sum to 180° , that is

60° + 54° + base = 180°

114° + base = 180° ( subtract 114° from both sides )

base = 66°

The triangle  on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then

x = 180° - (66 + 66)° = 180° - 132° = 48°

If there are four quarts in a gallon, how many quarts are in 101/2 gallons?

Answers

Answer:

202

Step-by-step explanation:

Please help homework due tomorrow!!

12. Ms. Kerr needs $450 to purchase new volleyballs. She has already saved 65% of the money, how much
additional money does she need to save to have enough to purchase the equipment?

13. A 6th grade student is 5 feet tall and casts a 12 foot shadow. How tall is the 8th grader standing next to
him that casts a 14.4 foot shadow?

Answers

Answer:

12-157.5  13-6ft

Step-by-step explanation:

the first one just look up 65% of 450 and minus the number you get by 450

the second one do the butterfly method

[tex]\frac{5}{12} \frac{x}{14.4} \\[/tex]

the heights on top and shadows on bottom

12x=72

x=6

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