Solve the simultaneous equations
-x + 4y = 12
x + y = - 7

Answers

Answer 1

Answer:

y = 1, x = - 8

or

(-8, 1)

Step-by-step explanation:

-x + 4y = 12

x + y = -7

add the equations together

0x + 5y = 5

5y = 5

y = 1

substitute y for 1 in one of the original equations to find x

x + y = -7

x + 1 = -7

x + 1 - 1 = - 7 - 1

x = - 7 - 1

x = -8

Answer 2

Answer:

y = 1, x = - 8 or (-8,1)

Step-by-step explanation:

......


Related Questions

a cookie recipe uses 2/3 bags of sugar Lisa is going to follow the recipe three times. Lisa will use blank bags of sugar?​

Answers

Answer:

2 bags

Step-by-step explanation:

2/3 x 3 = 2

2/3, 1 1/3, 2.

She will use 2 bags of sugar.

answers ASAP plsssssss

Answers

Answer:

Step-by-step explanation:the answer is option A as 1 • 3 =3 and 3+4=7

Jocelyn was given a box of assorted chocolates for her birthday. Each night, Jocelyn treats herself to some chocolates. The number of chocolates remaining in the box tt days after Jocelyn's birthday can be modeled by the equation C= -3t+30. What is the x-intercept of the equation and what is its interpretation in the context of the problem?

Answers

9514 1404 393

Answer:

"x-intercept": t = 10the chocolates will be gone after 10 nights

Step-by-step explanation:

The "x-intercept" is the value of the independent variable (t, in this case) such that the value of the dependent variable (C) is zero. We can find it by solving the equation ...

  0 = C

  0 = -3t +30

  0 = -t +10  . . . . .  divide by 3

  t = 10 . . . . . . . . . add t

The value of t is the number of days Jocelyn has been eating the chocolates. When t=10, C =0. The number of chocolates remaining in the box will be zero after 10 days.

Answer:

The x-intercept of the function is 10 which represents the number days after Jocelyn's birthday until all of the chocolates are gone.

Step-by-step explanation:

Since there were 0 chocolates remaining after 10 days, the x-intercept of 10 represents the number of days until the box of chocolates was empty.

Have a good day :)

Please help ...............

Answers

b
im not so sure tho

How many different states have you visited?

Answers

Answer:

Pfffft only one. I went to California

Step-by-step explanation:

Answer:

i am an alpha male so i have visited all of the states i know i know calm down ladies you all dont need to see me at one. (for legal reasons this is a joke)

Step-by-step explanation:

Can you please help me?

Answers

Answer: No

Step-by-step explanation: Because.

no, 3 times 2 is not 10

Is 2q - 2s + 2q equivalent to 4q - S? Why?​

Answers

Answer:

yes. They both equal [20]=20

plz somebody help me asap i need help

Answers

Answer:

False, True, Falso True

Step-by-step explanation:

Slope is 3/1 or 3

Line hits (0,-5)

Rachel babysits the Michaelson’s kids on Saturdays for 4 hours and is paid $12.50 per hour. On Sundays, she babysits at the Smith’s for 4 hours and is paid $14.50 per hour.
Rachel earns $
on Saturdays and $
on Sundays. She earns $
more on Sundays than on Saturdays.

Answers

Answer:

She earns $8.00 more on Sunday

Step-by-step explanation:

Saturday 12.50x4=50.00

Sunday 14.50x4=58.00

Answer:

$50.00 on Saturdays

$50.00 on Sundays

She earns $8 more on Sundays than on Saturdays

I hope this helps

Can someone please help me with this ?!!

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

find the perimeter or circumference and area of each figure and round to the nearest tenth​

Answers

Answer:D hope this helps :)

1A roll of ribbon is 1,780 inches long. It takes 1 yard
of ribbon (36 inches) to wrap a gift:
How many gifts can be wrapped?

Answers

6 gifts. 6 yards of ribbon.

There were 10,000 people per two blocks in
Harlem, what is the simplified ratio of people
per block(s)?

Answers

Answer:

5,000 people per block

Step-by-step explanation:

IF there's 10,000 people per 2 blocks, all you have to do to find the amount of people in one block is to divide by 2. :) this can be represented mathematically as:

2x=10,000 - original

x=5,000 - divided to get x alone

Hope this helps!

The diagram shows three squares, P Q R S , T U V W and W X Y Z . Angles P U V and Q Y X are 62 ∘ and 74 ∘ respectively. What is angle V W X ?

Answers

Answer:

44

Step-by-step explanation:

180 - (62 + 74) = 44

I need help with this question

Answers

Answer:

120

Step-by-step explanation:

that is an isosceles triangle so all angles are equal to 60

x is supplementary with the angle that is equal to 60  meaning that the two angles added with equal 180

180-60=120 so x=120

The temperature is −18.2 Celsius in South Dakota and -9.7 Celsius Minnesota. Which one of the following inequalities correctly compares the temperatures? Choose 1 answer: Which one of the following descriptions is correct?​

Answers

Answer:

A and A

Step-by-step explanation:

please mark brainliest.

Answer:

A and A

Step-by-step explanation:

I will mark you as the brainiest if you get this correct

Answers

Answer:

a is 0.49875 (but round it)

and b is 0.465

so b is a better deal

Step-by-step explanation:

Answer:

3.99$ divided by 8=0.50cents

50 cents per a battery

Step-by-step explanation:

6 batteries for 2.79 is a better buy

2.80 divided by 6 =46 cents per a batter

Which of the coordinate pairs is a point on the line y = -2/5x + 4?

A.) (2, 3)
B.) (-5, 6)
C.) (6, 2)
D.) (-2/5, 4)​

Answers

Answer:

B.) (-5, 6)

Step-by-step explanation:

to solve algebraically, test the coordinate pairs in the equation [tex]y = -\frac{2}{5}x + 4[/tex]

to solve graphically, enter the equation [tex]y = -\frac{2}{5}x + 4[/tex] into a graphing calculator and graph the coordinate pairs as well to see which one is on the line.

(2, 3) is NOT a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

2 is the x-value and 3 is the y-value. coordinate pairs are always written as (x, y).

plug in 2 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

y = -2/5x + 4 ⇒ y = -2/5(2) + 4

now plug in 3 for y.

y = -2/5(2) + 4 ⇒ 3 = -2/5(2) + 4

your equation is now 3 = -2/5(2) + 4. begin simplifying by multiplying -2/5 and 2.

3 = -2/5(2) + 4 ⇒ 3 = -0.8 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)

now add -0.8 + 4 to simplify the rest of the right side of the equation.

3 = -0.8 + 4 ⇒ 3 = 3.2

3 and 3.2 are not equal, therefore (2, 3) is not a solution.

(-5, 6) IS a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

-5 is the x-value and 6 is the y-value. coordinate pairs are always written as (x, y).

plug in -5 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

y = -2/5x + 4 ⇒ y = -2/5(-5) + 4

now plug in 6 for y.

y = -2/5(-5) + 4 ⇒ 6 = -2/5(-5) + 4

your equation is now 6 = -2/5(-5) + 4. begin simplifying by multiplying -2/5 and -5.

6 = -2/5(-5) + 4 ⇒ 6 = 2 + 4

now add 2 + 4 to simplify the rest of the right side of the equation.

6 = 2 + 4 ⇒ 6 = 6

6 and 6 are equal, therefore (-5, 6) is a solution.

although we have identified (-5, 6) as a solution, i'm still going to check the rest of the points just to be sure! :)

(6, 2) is NOT a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

6 is the x-value and 2 is the y-value. coordinate pairs are always written as (x, y).

plug in 6 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

y = -2/5x + 4 ⇒ y = -2/5(6) + 4

now plug in 2 for y.

y = -2/5(2) + 4 ⇒ 2 = -2/5(2) + 4

your equation is now 2 = -2/5(6) + 4. begin simplifying by multiplying -2/5 and 6.

2 = -2/5(6) + 4 ⇒ 2 = -2.4 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)

now add -2.4 + 4 to simplify the rest of the right side of the equation.

2 = -2.4 + 4 ⇒ 2 = 1.6

2 and 1.6 are not equal, therefore (6, 2) is not a solution.

(-2/5, 4) is NOT a solution.

i see that they want to trick you with this one by using the values that are in other spots in the equation... that's crafty

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

-2/5 is the x-value and 4 is the y-value. coordinate pairs are always written as (x, y).

plug in -2/5 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

y = -2/5x + 4 ⇒ y = -2/5(-2/5) + 4

now plug in 4 for y.

y = -2/5(-2/5) + 4 ⇒ 4 = -2/5(-2/5) + 4

your equation is now 4 = -2/5(-2/5) + 4. begin simplifying by multiplying -2/5 and -2/5.

4 = -2/5(-2/5) + 4 ⇒ 4 = 0.16 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)

now add 0.16 + 4 to simplify the rest of the right side of the equation.

4 = 0.16 + 4 ⇒ 4 = 4.16

4 and 4.16 are not equal, therefore (-2/5, 4) is not a solution.

as for finding the solution on a graph, enter the equation for the line as well as the coordinate pairs into a graphing calculator. here i used a handy little site called desmos in order to graph all of this. the first photo i attached contains what i entered into the calculator, and the second photo i attached shows the graph. as you can see, the only point that is actually on the line is (-5, 6), which is why (-5, 6) is a solution to [tex]y = -\frac{2}{5}x + 4[/tex] , and the other coordinate pairs are not solutions to that equation because they are not on the line.

i hope this helps! have a lovely rest of your day <3

Answer:

its D you don't even need to do all the work bc the same numbers are right there in the equation

Ill mark you brainliest please help !

Answers

Answer: (-2, 1)

Step-by-step explanation:

What are the solutions of the equation (x−9)2=64?

Answers

Answer:

17,1

Step-by-step explanation:

I just did this question on the benchmark

7 yr 27 mon 27 da + 26 mo 42 da = i need answer aszap

Answers

Answer:

11 years 7 months 7 days(if 31 days a months) and change 7 days to 9 days if assuming 30 days a moths

Please help!

Thank you!

Answers

Step-by-step explanation:

the picture is sideways but that's the answer

is this a function or not​

Answers

Answer:

No, I don't think so.

Step-by-step explanation:

I don't think this is a function because the triangle is made of multiple points. Some of these points share the same x point, so this concludes that a triangle on a graph is not a function.

Hope it helps!

In the diagram, AB = AC and ∠DCE = 75°, BCD and ACE are straight lines. ∠BAC =

Answers

Again, what is the shape?

someone please help!! find the value of y in this triangle

Answers

Answer:

30

Step-by-step explanation:

Triangle containing 120° and y° is an isosceles triangle.

Therefore,

y° + 120° + y° = 180°

2y° = 180° - 120°

2y° = 60°

y° = 60°/2

y ° = 30°

y = 30

Solve the system of linear equations using Elimination
3x + y = 12
-3x+9y=48



HELP ASAP!!! Worth 20 points

Answers

Alright so after solving it the answer would be x=2 and y= 6

Answer:

x=2

y = 6

This is the answer for above equation

Using the figure below, find x if Z2 = 14x + 58 & 27 = 10x + 66.
M
9
1/2
43
516
78
b
*Hint: Follow the steps for finding angle measurements by relationships
5
14
6
2

Answers

Oh yeah lol I wowww

PLEASE ANSWER QUICK I NEED HELP

Answers

Answer:

I think c?

Step-by-step explanation:

the answer is c!!!

explanation sindkdksksjdkdjdjej

brailnsliest would help

Write a linear function that relates y to x .


y=

Answers

Answer:

y = x-2

Step-by-step explanation:

find the slope. 0,-2 and 2,0

0- -2 / 2-0 = 1

y-0 = 1(x-2)

y = x - 2

Clyde made lasagna for dinner last night and 1/3 of it was left over clyde will share the leftover lasagna equally with his brother for lunch what diagram could they use to find the fraction of the whole lasagna that each will have for lunch?

Answers

Answer:

hwlllo

Step-by-step explanation:

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