Solve the simultaneous equations
3x - y = 5
-x + y = -1

Answers

Answer 1

Answer:

x= 2, y= 1

Step-by-step explanation:

3x -y= 5 -----(1)

-x +y= -1 -----(2)

(1) +(2):

3x -y -x +y= 5 -1

2x= 4

Divide both sides by 2:

x= 4 ÷2

x= 2

Substitute x= 2 into (2):

-2 +y= -1

y= -1 +2

y= 1


Related Questions

i need to find what is 18 divided by 8

Answers

The answer is 2.25.

Answer:

2.25

Step-by-step explanation:

(ASAP) I really need help on this I have a C- in Math right now and( I NEED TO GET UP MY GRADE) plsssss

Answers

Answer:

answer is <

Step-by-step explanation:

first equation is equal to 6 and the other is equal to 7

If PQ = 6cm, QR = 55cm and RP = 55cm, What type of triangle can be constructed?

Answers

Answer:

isosceles triangle

Step-by-step explanation:

In an isosceles triangle 2sides are equal

a tv was sold at 9% profit with cost price rs 18000 calculate the sale price of tv

Answers

Answer:

the sale price of tv is 1620

Step-by-step explanation:

9/100 because full percentage is from 100%

9/100 x 18000

cut 00 from 18000

we will cut it because 100 also have two 0 and 18000 we will cut two 0

next it will be = 9/1 x 180 one is nothing no so it will be

9 x180 answer = 620

plz mark me as brainliest

I need help with this, it's due today. *i'll give brainliest if you answer all of them*

Answers

Answer:

1. x = 13

2. a = 15

3. y = 3

4. g = -24

5. z = 5.57

6. h = 7.5

7. b = 5.8

8. w = -4.5

13. 29 chapters

14. 23.7 pounds

Step-by-step explanation:

hope this helps! :D

Find the nth term of this sequence
-3 -5 -7 -9 -11 ...

Answers

Answer:

Step-by-step explanation:

Answer:

2n-1

Step-by-step explanation:

-5 ---> -3 = 2

-3 -2= -1

Can you solve this? Thank you

Answers

Answer:

14

Step-by-step explanation:

ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )

8 red counters are added , so

4x + 8 : 3x = 8 : 3

Expressing the ratio in fractional form

[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )

24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

original number of counters = 4x + 3x = 7x = 7(2) = 14

Susan has a collection of 90 nickels and dimes. If the number of nickels is five times the number of​ dimes, how many nickels and how many dimes does she​ have?

Answers

Answer:

15 Dimes and 75 Nickles

Step-by-step explanation:

N = Nickles

D = Dimes

5D + D = 90

6D= 90

D= 15

90 - 15 = 75

N = 75

There are 75 nickels and 15 dimes does she​ have.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Susan has a collection of 90 nickels and dimes.

And, The number of nickels is five times the number of​ dimes.

Now,

Since, The number of nickels is five times the number of​ dimes.

Let number of dimes = x

Then, Number of nickels = 5x

Since, Susan has a collection of 90 nickels and dimes.

Hence, We can formulate;

⇒ 5x + x = 90

⇒ 6x = 90

⇒ x = 15

Thus, The number of dimes = 15

And, Number of nickels = 5 × 15  = 75

Therefore, There are 75 nickels and 15 dimes does she​ have.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Help me with school (math)!!!

Answers

Answer: y=-4x+7

Step-by-step explanation: Move 8x to the right side to isolate y. 2y=14-8x. Divide the whole equation by 2 to get y by itself. y=7-4x

1 1/3 x 1 2/3 please help

Answers

Answer:

_

6.1

Step-by-step explanation:

_

11/3 * 5/3 = 11·5/3·3 = 55/9 = 6.1

what is the domain of the relation shown

Answers

The domain of the relation is B

4. Aidan wrote the interval (-5, 4) and claimed it was equivalent to the graph below. Explain what he did
wrong and correct his mistake.

Answers

Please attach the graph so I can help you. :)

This table shows the battery percentage of a phone after it
has been used for x hours.

When graphed, all of these points lie on the same line.

What is the y-intercept and slope of this line?

Drag an answer into each box.

Answers

Answer:

yint -= (0,100) slope = -5 2/3

Step-by-step explanation:

yint is (0,100) because thats where it hits the y axis

slope equation is (y1-y2)/(x1-x2), just pick out any two points to do this with

(83-66)/(3-6)

17/-3

-5 2/3

Answer:

slope -17/3 y -intercept  100

Step-by-step explanation:

Please, If you can help i will be grateful and give brainliest.

Answers

Answer:

To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.

In this case, the coefficient of x is -1.

Thus,

[tex]y=x^2-x+1[/tex]

[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]

[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]

[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]

plssss help picture down below

Answers

Answer:

it is (-4,1)

Step-by-step explanation:

Hope this helps:)

Substitute x = 9 and solve for B
3x + 10 = b

Answers

Answer:

b = 37

Step-by-step explanation:

3x + 10 = b

(3 x 9) + 10 = 27

27 + 10 = 37

Answer:

b Is 37

Step-by-step explanation:

x Is 9

instead of x you write 9

3x mean 3×X

3×X+10= 3×9+10=27+10=37

A zebra can run at a constant speed of 0.60 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question

Answers

Answer:

0.6x30=18

Step-by-step explanation:

18 miles would be how far it ran.

You didn't give us any answer choices for which equation, so I would say the equation I wrote could work.

Answer:

0.6 × 30 = 18

Step-by-step explanation:

You multiply the two values to get 18:

0.6 * 30 = 18

Hope that helps! :)

A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s

Answers

Answer: s= -8

Step-by-step explanation:

The gradient of the ski slope can ge used as the slope (literally) of a line equation:

y = mx + b,

where m is the slope and b the y-intercept (the value of y when x = 0).

The first slope would be y = -(1/3)x + b.

The slope is (-1/3) since the ski run is headed downhill.  The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").

y' = -(1/3)x' + b

We may assume that b is the same for both slopes - they start and end at the same point.

We can find b by using the given point (2,-3):

y' = -(1/3)x' + b

-3 = -(1/3)(2) + b

-3 = -(2/3) + b   [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]

-7/3 = b

b = -(7/3)

The second ski slope, y', thus has the equation

y' = (1/3)x' -(7/3)

We want the value of s in (s, -5).

y' = (1/3)x' -(7/3)

-5 = (1/3)s -(7/3)

(1/3)s = -5 +(7/3)    [-15/3 + 7/3 = -8/3]

(1/3)s = -(8/3)    [Multiply both dies by 3]

s = -(24/3)  

s = -8

Over the summer, Jarrod did online tutoring with kids. He was paid a total of $342.30 for 42 hours of tutoring. What was his hourly rate of pay?

Answers

Answer:

His hourly rate is $8.15.

Step-by-step explanation:

The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).

So what we need to do is to divide that amount ($342.3) by 42.

And we get $8.15.

find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b

i will give brainlest for the best answers with best explanation ​

Answers

Answer:

a = - 3, b = - 8

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 )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4 ) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

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

Substitute (a, 8 ) into the equation and solve for a

8 = - 2a + 2 ( subtract 2 from both sides )

6 = - 2a ( divide both sides by - 2 )

- 3 = a

Substitute (5, b ) into the equation and solve for b

b = - 2(5) + 2 = - 10 + 2 = - 8

PLEASE HELPP!! What is the slope and Y intercept of this equation?

Answers

Answer:

The slope is 10

The y - intercept is 20

Step-by-step explanation:

The equations are written as:

y = ?x + ?

The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10

The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept

Help please no funny stuff!

The last one is
10,15
20,25
8,30
20,35

Answers

Answer:

the last one none over lap

Simplify the expression using the order of operations.
4+(3+2)2
= 4+
2
= 4+
=

Answers

Step-by-step explanation:

4+(3+2)2

4+(5)2

4+10

14

HELP ASAP 10 POINTS WILL MARK BRAINIEST IF CORRECT

Answers

Answer:

Bryan

Step-by-step explanation:

Rate of Change

Answer:

Malory Makes more money than bryan

Step-by-step explanation:

what do i get for this Question a-b=18 find a and b

Answers

Your answer is A = 12.375 and B = 5.625.

plz help!!!!!!!!!!!!!!!

Answers

Answer:

equation of line of best fit:  y = -.018x + 7.3

y-intercept = 7.3

correlation coefficient = -.018

correlation coefficient indicates there is no correlation between the x-and-y values

Step-by-step explanation:

Which expression has a sum of one and eight thirtieths?

Question 5 options:

three sixths + three fifths


four sixths + three fifths


four sixths + four fifths


five sixths + one fifth

Answers

Answer:

[tex]\frac{4}{6}+\frac{3}{5}[/tex]

Step-by-step explanation:

1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]

[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]

[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]


What is the value of y?
09
O 18
O 3

Answers

Answer:

The answer is 9

Step-by-step explanation:

First looking at the triangle with the 90 degree sign in it  we know that the other angles in that triangle will have to add with 90 to equal 180

So doing the easier way replace 9 with y and do this for the other numbers 3 and 18 to see if the result of (2y+18) and 4y will equal the same number

[tex](2(9)+18)=36 \\4(9)=36[/tex]

[tex](2(3)+18)=24 \\4(3)=12[/tex]

[tex](2(18)+18)=54 \\4(18)=72[/tex]

and because the lines on each triangle represent that those sides are congruent

I hope this because I am only using what I remember from geometry but please let me know if I am wrong

In the given figure, PQ 11 RS, find the value of x. ​

Answers

Answer:

73 degrees

Step-by-step explanation:

Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.

So, now just subtract 50 from 123 to get x.

Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?

Answers

Usando un sistema de ecuaciones, se encuentra que:

Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.

Para el sistema, considera-se que:

x es el peso de una caja grande.y is el peso de una caja pequeña.

Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:

[tex]3x + 5y = 112[/tex]

Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:

[tex]6x + 2y = 118[/tex]

Simplificando por 2 :

[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]

Reemplazando en la primera ecuación:

[tex]3x + 5y = 112[/tex]

[tex]3x + 5(59 - 3x) = 112[/tex]

[tex]3x + 295 - 15x = 112[/tex]

[tex]12x = 183[/tex]

[tex]x = \frac{183}{12}[/tex]

[tex]x = 15.25[/tex]

[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]

Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.

Un problema similar es dado en https://brainly.com/question/24646137

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