Solve the system of equations.

2x-3x=21 and -6x+2y=7

Answers

Answer 1

Answer:

(-21, -59.5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x - 3x = 21

-6x + 2y = 7

Step 2: Solve for x

2x - 3x = 21

Combine like terms:                    -x = 21Isolate x:                                       x = -21

Step 3: Solve for y

Define equation:                    -6x + 2y = 7Substitute in x:                       -6(-21) + 2y = 7Multiply:                                  126 + 2y = 7Isolate y term:                         2y = -119Isolate y:                                  y = -59.5

Related Questions

HURRY PLZ I WILL GIVE BRAINLIEST....Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando’s error? Fernando evaluated the numerator of the fraction incorrectly. Fernando simplified StartFraction 20 over 2 EndFraction incorrectly. Fernando incorrectly found the product of –2 and –5. Fernando evaluated (negative 3) squared incorrectly.

Answers

Answer:

The correct answer is...

Fernando incorrectly found the product of –2 and –5.

I hope this helps! Have a nice day!

what is a 888888890000+123321= _______???

Answers

Answer:

The answer is 888889013321

Step-by-step explanation:

I hope l helped you.❤❤❤Stay safe ❤❤❤

Answer:

The answer is 888,889,013,321

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist




Tanner is preparing dinner plates. He has 36 pieces of chicken and 16 rolls. If he wants to make all the plates identical
without any food left over, what is the greatest number of plates Tanner can prepare?

Answers

Answer:

4

Step-by-step explanation:

First, we find the greatest common factor of 36 and 16.

36 = 2^2 * 3^2

16 = 2^4

GCF = 2^2 = 4

He can make 4 plates.

Fill in the blank 8(? +3) =48+24

Answers

Answer:

6

Step-by-step explanation:

treat the ? as an x. you need to get it by itself. but first you should distribute the 8.

8x + 24 = 48 +24

8x+24 = 72

take the 24 and subtract it from 72

8x= 48

now divide both sides by 8

x= 6

Answer:

6

Step-by-step explanation:

8(6 + 3) =48+24

8(9) = 48+24

72 = 48 + 24

72 = 72

HELP PLEASEE! A family of four decides to buy a new computer that they will all share the computer cost them 1250 which means it will reduce the household budget by -1250 if there’s cost gets shared equally across all four family members how much does each person end up paying?

Answers

Answer:

$ 312.5 each member.....

Answer:

Each member of the family should pay 312.5

Step-by-step explanation:

You should only divide 312.5 by 4 = 312.5I hope I helped

If u^2=d, what does the square root property state that u is equal to?

Answers

Answer:

the square root of d

Step-by-step explanation:

if [tex]u^{2} = d[/tex] then the square root property would take the square root of each side of the equation. the square root of [tex]u^{2}[/tex] would just be [tex]u[/tex] because it's already squared and its exponent would just be cancelled out, while d would simply turn to [tex]\sqrt{d}[/tex].

meaning if [tex]u^{2} =d[/tex] then [tex]u=\sqrt{d}[/tex], because you've done the same thing to both sides of the equal sign, so they remain equivalent.

The square root property says the value of u²=d is u=±√d

What is Square Root?

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds.

Given here: The expression u²=d

The square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.

Thus we have the given expression as u²=d

Taking square root on  both sides we get u=±√d

Hence, The square root property says the value of u²=d is u=±√d

Learn more about the square root property here:

https://brainly.com/question/29286039

#SPJ2

True or false? The sum of the exterior angles depends on how many sides there are in the polygon?

Answers

Answer: true i believe

Step-by-step explanation:

Solve the formula c = 1.06p for p, where c is the cost of an item at Shopping City, including tax, and p is the selling price. (ANSWER FAST!!!!!!)

Answers

Answer:

Step-by-step explanation:

I honestly don't know

What is the answer will cashapp you

Answers

Answer:

3z + y = 1

Step-by-step explanation:

.........................

Need help please thank you

Answers

Answer:

3

Step-by-step explanation:

RS + ST will equal RT.

So, 2 + 3x must equal 5x.

2+3x = 5x

2 = 2x

x = 1

ST = 3x

ST = 3*(1)

ST = 3

I grew with the other comment have a great day whoever sees this!! :)))

this is important please help I will give brainiest to people who get both​

Answers

Answer:

First question is A.

Second question is C.

Step-by-step explanation:

First question is correct because non-linear graphs look just like that.

Second question is correct because 2 variables cannot equal the same thing in a function.

Hey I need some help :)

Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.

Answers

Answer:

Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.

e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.

However, if there is no change it would be just 0.

Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

Answer: its different because when you add a negative sign to an answer it is valued less then a answer without the negative sign

Answer:

You use the division property of inequality to isolate the variable for both inequalities. You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.

Step-by-step explanation:

edge

What do I do I’m lost I need help?

Answers

Answer:

27

Step-by-step explanation:

the sequence is 4 added to each number. 4 added to 23 is 27

Answer:

C.27

Step-by-step explanation:

We need to find the pattern in order to determine the next term of the sequence. By looking at the terms, we can observe that each one is 4 bigger than the previous term, therefore we can assume that the next term will also be 4 bigger than the last term we are given (23) so we add 4 to that (23+4) and we get 27.

Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 C)-4 D)
4

Answers

Answer:

4 < x < 12

Took the test

What is the value of x?
Enter your answer in the box.

Answers

Answer:

7

Step-by-step explanation:

the surface "s" area of a sphere of radius " r" is given by the formula of s= 4πr^2
find;
1, the surface area of a sphere whose radius is 5 cm
2,the radius of a sphere whose surface area is 23716/81​

Answers

Answer:

As below

Step-by-step explanation:

1)    4*pi*[tex]5^{2}[/tex]= 314.159 [tex]cm^{2}[/tex]

2)    s = 4 * pi *[tex]r^{2}[/tex]

[tex]\sqrt{s / (4*pi)}[/tex] =r

[tex]\sqrt{(23716/81)/ (4 * pi)}[/tex] = r

15.1643... = r   :)

I WILL GIVE YOU BRAINLIEST, A THANK YOU, AND 5 STARS PLEASE ANSWER
Angelica took a math test and got 14 out of 15 problems correct. What percent of the problems did she get correct? (round to the nearest hundredth)

Answers

rounded to the nearest hundredth is about 94%

1 i) Consider a triangle ABC shown below. If angle LA = 3r and _C = 2x then find the value of z.

Answers

Answer:

i don't know if this is what you're asking but here you go

Step-by-step explanation:

90 + 3x + 2x = 180

90 + 5x = 180

- 90           - 90

5x = 90

/ 5     / 5

x = 18

HELP ME PLEASEEEEEEEE

Answers

Answer:

2/3 more pizza

Step-by-step explanation:

because there is 3 blocks in a row and Edgar ate 2 more pizza slices than Reggle so there for Edgar ate 2/3 more pizza slices. hope this helps :)

Explain how you can use the vertex form of a quadratic function to locate the vertex of the function's graph.

Answers

Answer:

quadratic function can find and write with the vertex and function the graph better.

Step-by-step explanation:

Rachel's gym charges a one-time registration fee of $45 and a monthly fee of $39. Which
function can be used to find y, the total charges at this gym for x months?
Fy= 45x +39
Gy=6x +39
Hy=39x +6
jy=39x + 45

Answers

Answer: Its 39x + 45

Step-by-step explanation:

yes

Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?

Answers

Answer:  14% refused the offer.

Step-by-step explanation: Divide the number of refusals by the total sent.

35/250 = 0.14 Then multiply by 100 to change from decimal to percent.

The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)

0.14 × 100 = 14.  So the answer is 14%

I need help with this question!
Experts only please

Will mark brainliest

Answers

3x + 2y(100)
yes he was correct
2 cups are added each time so 2 times 100 is 200 add the 3 you have 203.
i know i’m not an expert but i wanted to help :)

44 = 2 × (3 - 1)
help me answer this

Answers

Answer:

its a 48 lol (kkkkkkkkkkk)

Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights

Answers

Answer: 24 1/2

Step-by-step explanation:

Micheal walks 3.5 km every day . How far does he walk in 9 days . Write in meters

Answers

31500 meters.

Step-by-step explanation:

3.5 km times 9 = 31.5 km

25.5 km = 31500 meters

Let me know if you have any issues or need help!

Answer:

31500 meters

Step-by-step explanation:

If he walks 3.5 km a day and he walks 9 days, then multiply those together.  That will give you 31.5 km. Converted to meters would give you 31500.

I NEED HELP WITH THIS​

Answers

Answer:

Step-by-step explanation:

.Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.​

Answers

Answer:

Part 1

The drawing of the quadrilateral is included here

Part 2

The area of the quadrilateral is 60.5 unit²

Step-by-step explanation:

Part 1

Please find attached the given drawing of the quadrilateral created with Microsoft Excel

Part 2

The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE

The height of the trapezium, h₁ = 4 units

For segment BC, we have;

The slope = (-5 - (-2))/(5 - (-4)) = -1/3

The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)

Which gives;

y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3

The y-intercept is (0, -10/3)

The lengths of the opposite parallel sides of the trapezium AECD are;

a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3

The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²

The height of triangle

The area of ABE, h₂ = 5

The base of triangle ABE = b = 31/3

The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²

The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE

∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².

Write an equation to represent the following description "fourteen less than 8 times a number is -11

Answers

Answer:

(8 * x) -14 = -11

Step-by-step explanation:

* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.

x = the number that is missing being multiplied by 8

I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.

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