Determine the solution to the system of equations below: y = -3x + 6 and 3y = -2x - 3

Answers

Answer 1

Answer:

x = 3

y = -3

Step-by-step explanation:

We have two equations and are asked to solve for x and y.

y = -3x + 6

3y = -2x - 3

Substitute the y in the first equation in the second equation :

3(-3x + 6) = -2x - 3

Distribute :

-9x + 18 = -2x - 3

Solve for x by isolating it :

Subtract 18 from both sides :

-9x = -2x - 21

Add 2x to both sides :

-7x = -21

Divide -7 from both sides :

x = 3

Replace x in the first equation :

y = -3(3) + 6

y = -9 + 6

-9 + 6

y = -3


Related Questions

HELP I DONT UNDERTAND THIS!

Answers

Answer:

the answer is B

that's it maybe .. no i think that's the answer

B and D are wrong because you don’t add when you find the area and you don’t multiply the same side, so 4+5+t are wrong and 4•5•t would be wrong.

3, -2, -7,...
what is the common difference of this arithmetic sequence

Answers

Answer: -5

Step-by-step explanation: The common difference is the same number we are adding each time to get from one term to the next.

In this sequence, we are adding -5 each time

so our common difference is -5.

what is 7(n+3)-4n
who knows i need help

Answers

7( n+3)-4n

=7n+21-4n

=7n-4n+21

=3n+21 you can leave it like this also but

=3(n+7) doing this is best

d/7 = -13 Please help me solve it

Answers

Answer:

-91

Step-by-step explanation:

d/7=-13

d=-13*7

d=-91

Answer:

d=-91

Step-by-step explanation:

d/7=-13

d=-13*7

d=-91

Does a shape with a right angle always have perpendicular sides? Explain

Answers

Answer:

Yes

Step-by-step explanation:

A right angle means that the lines will create an L or X or T when they intersect. This is exactly the definition of perpendicular, that the shapes will intersect and create at least one right angle.

Answer:

If you ever see a little square at the corner of a shape, then you know that not only is this a right angle, and thus, 90 degrees, but that the two lines that form such an angle are perpendicular to one another. Squares and rectangles always have four right angles!

Step-by-step explanation:

I need help please on this question

Answers

13. No
14. No
15. Yes; Domain: (-4,3) Range: (-4)

Jolene earned a 75% on her last quiz. If there were 8 questions, how many did she answer correctly.

Answers

6, to do this you need to recognize that 8 is the whole number so

8=100%

So if 8 is equal to 100% then 6 would just be subtracting 25% hope this helped (:

i need help :/

('_')​

Answers

Answer:

Z=20 Degrees

Step-by-step explanation:

We know that all of the angles of a triangle add up to 180, so:

65+55+ Angle A = 180

Simplify:

120+ Angle A = 180

Subtract 120 from both sides:

Angle A = 60

If you look at the bottom you can see that the 15 turns into 5, meaning it is being divided by 3, so:

60/3=20

Z=20 Degrees

Answer:

Angle E is 60 degrees

Step-by-step explanation:

So z is an angle.

That would be point E.

This triangle was dilatated so we can match it up with the larger one. In a dilation, angle measures do not change. So matching up the points E would be equal to A, which of course it the only one with an angle measure not given.  

All you have to do is add up the two angle measures and subtract that by 180 (total of all angles combined).

So 65+55=120

180-120=60

Angle A is 60

Which makes angle E 60 as well

Hope that helps!

HELP ME WITH THIS PLEASE

Answers

9514 1404 393

Answer:

  Part A: B

  Part B: 1

Step-by-step explanation:

Part A:

The meaning of "at most" is "less than or equal to." If we assume that the variables x and y represent numbers of loaves of banana bread and nut bread, respectively, then the first problem statement tells you ...

  x + y ≤ 30 . . . . . the total of loaves baked is at most 30

Only one answer choice has this inequality listed: choice B.

__

Part B:

The numbers of loaves of bread will not be negative. The only quadrant that has both coordinates positive is the 1st quadrant.

__

Comment on quadrant

Real-world problems involving numbers of items are often expressed in terms similar to those seen here. The assumption that is made in all such problems is that the quantity of items cannot be negative. That is, the constraints x ≥ 0 and y ≥ 0 are always considered part of the problem description. These limit solutions to Quadrant 1. (or I, if you use Roman numerals for numbering quadrants)

F Which conditions are sufficient to prove a quadrilateral is a square?
1. All four sides are congruent.
II. The diagonals are congruent.
III. The diagonals bisect each other.

A. l only
B. l and II
C. l and III
D. ll and III​

Answers

Answer:

I think the answer is a .

I need 110g of flour to make something. A 10kg (22lb) bag of four is $12. How much does that 110g cost?

Answers

Answer:

Cost of 110 g bag = $ 0.132

Step-by-step explanation:

As we know ,

1 kg = 1000 g

⇒1000 g = 1 kg

⇒1 g = [tex]\frac{1}{1000} = 0.001[/tex] kg

⇒110 g = 110 (0.001) kg = 0.11 kg

⇒110 g = 0.11 kg

Now,

Cost of 10 kg bag = $12

⇒Cost of 1 kg bag = [tex]\frac{12}{10} = 1.2[/tex]

⇒Cost of 1 kg bag = $ 1.2

⇒Cost of 0.11 kg bag = $ (0.11)(1.2) = $ 0.132

∴ we get

Cost of 110 g bag = $ 0.132

what is -7/5 rounded to the nearest tenth?

Answers

Answer:

-1.4

Step-by-step explanation:

-7/5 = -1.4

Write 8134 5 correct to 2 significant figures

Answers

Answer:81000

Step-by-step explanation:

134 rounds down

I dunno m8 lnchoxitsitsypfpigipgotwyye

Payal is going to Turkey. The exchange rate is £1 = 3.1938 lira. She changes £582 to lira. How
many lira will she get to the nearest lira?​

Answers

Answer:

1,858.7916

Step-by-step explanation:

multiply 3.1938 times the number of E to get the quantity

Find the area of a circle with a radius of 6 centimeters. Use 3.14 for π.

Answers

area =pi x r^2
area = 3.14 x 6^2
so area is 113.04cm^2

Answer:

113.04

Step-by-step explanation:

Use the formula A=[tex]\pi[/tex][tex]r^{2}[/tex]

A= [tex]\pi (6^2 )[/tex]

6*6 =36

multiply 3.14 by 36

36*3.14=113.04

HELP PLZ MARKING BRAINLIEST

Answers

Answer:

17.5

Step-by-step explanation:

2.5 multiplier

8+–5+–7w+6w



answer- please-

Answers

8-5-7w+6w

Combine Like Terms

3-w

Answer:

3-w

Step-by-step explanation:

8+(-5)+(-7w)+6w

8-5-7w+6w

3-7w+6w

3-w

What is this answer this is a little tricky for me

Answers

Answer:

the answer is a

Step-by-step explanation:

B is your answer it’s quadrilateral <3

HELPPPPPPPPPPPPPPP MEEEEEEEEEEEEE

Answers

Answer:

About 4.5 units

Step-by-step explanation:

Please let me know if you want me to add an explanation

Four basketballs and six baseballs cost $44. Five basketballs and four baseballs costs $48. Determine the cost for one basketball and one baseball.

Answers

Answer:cost for basket ball= $8 and

cost of baseball = $2

Step-by-step explanation:

Step 1

Let the cost of basket ball be represented as x

and cost of  baseball = y          such that

Four basketballs and six baseballs cost $44 will be expressed as

4x+ 6y= 44  --- eqn 1   also

Five basketballs and four baseballs costs $48 will be expressed as

5x+ 4y= 48--- eqn 2

Step 2

Having obtained two expressions we can now sole

4x+ 6y= 44  --- eqn 1

5x+ 4y= 48--- eqn 2

multiplying eqn 1 by 5 and eqn 2 by 4

20x+ 30y =220---- eqn 3

20x+ 16y=192-----eqn 4

subtracting equation 4 from 3   we now have

14y=28

y= 28/14

y=2 = $2

from equation 1

4x+ 6y= 44, putting the value of y=7 to find x

4x+ 6(2)= 44

4x+12= 44

4x= 44-12

4x=32

x= 32/4

x=8=$8

cost for basket ball= $8 and

cost of baseball = $2

Divide.Enter the quotient in simplest form

7/10 divided by 4/5

Answers

Answer:

7/8

Step-by-step explanation:

7/10 divided by 4/5 = 7/10 x 5/4 = 35/40 divided by 5/5 = 7/8

the answer is 7/8 and that is in the simplest form

HELP ASAP DUE TONIGHT! (slopes) (brainliest)

Answers

Answer:

(0,35)

(1,50)

(2,65)

(3,80)

Y intercept: 35

Slope: 15

This means that it has an independent cost of $35 and a variable fee of 15

Step-by-step explanation:

It's near impossible for me to show you where the line goes and so I'm just going to give you five or so points

To get the 5 point just plug different x values in

(0,35)

(1,50)

(2,65)

(3,80)

The slope intercept equation looks like the following

y=mx+b

where b is the y intercept and m is the slope

this means our equation's slope is 15 and the y intecept

is 35

I NEED HELP AGAIN PLEASE HELP MEEEE

Answers

Answer:

The answer for this proportion is 6/10 ft

What is a 20% tip on a $40 haircut?

Answers

Answer:

$8.00 tip

$48.00 total (haircut+tip)

Step-by-step explanation:

40 x .20 = 8

40 + 8 = 48

Answer:

Step-by-step explanation:

what fraction is greater than 1/5 and less than 1/3

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Because it's right in-between

Hope this helps, it's very simple!

Which equation can be used to solve for x in the following diagram?
(4x - 85)
Choose 1 answer:
x- (4x – 85) = 180
x+ (4x – 85) = 180
x + 4x = 85
x+(4x – 85) = 90

Answers

D since it’s a right angle so the sum of the two angles is equal to 90.
Answer: D

Step by step explanation: ...

PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!

14 + 18 ÷ 2 x 18 – 7

15 x 10 + 12 ÷ 3 + 9

8 x 4 + 9 – 9 + 18

2 - 1 + 5 x 4 x 11

60 – 9 x 8 ÷ 8 x 6

(10 ÷ 5)3 + 100 – 9 x 11

3 x 8 x 2 – 42 + 5

14 ÷ 2 -1 + 3

Answers

Answer:

1. 169     2. 163      3. 54       4. 221      5. 6         6. 7         7. 11        8. 9

Step-by-step explanation:

Remember the Order of Operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtract

*But always solve from left to right so there can be times where you either have to do division before multiplication or subtraction before addition

1. 14 + 18 ÷ 2 x 18 – 7

14+9 x 18-7

14+162-7

176-7

169

2. 15 x 10 + 12 ÷ 3 + 9

150+12÷3+9

150+4+9

154+9

163

3. 8 x 4 + 9 – 9 + 18

36+9-9+18

45-9+18

36+18

54

4. 2 - 1 + 5 x 4 x 11

2-1+20x11

2-1+220

1+220

221

5. 60 – 9 x 8 ÷ 8 x 6

60-72÷ 8 x 6

60-9x6

60-54

6

6. (10 ÷ 5)3 + 100 – 9 x 11

(2)3+100-9x11

6+100-9x11

6+100-99

106-99

7

7. 3 x 8 x 2 – 42 + 5

24x2-42+5

48-42+5

6+5

11

8. 14 ÷ 2 -1 + 3

7-1+3

6+3

9

The normal price of a bicycle is £120
In a sale, there is 1/5 off the normal price of the bicycle.
Work out the price of the bicycle sale?

Answers

Answer:

76

Step-by-step explanation:

100% = 120

1/5 of 100% = 20%

20% = 120÷100×20

        = 24

100-24= 76

Can somebody plz help answer both word problem questions correctly thanks :DD

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!!!:DDD

Answers

9. a+b=17

b=3+a

17=a+3+a

14=2a

7=a

b=3+7

b=10

10. 156.25/6.25= 25 hrs

Answer:

9. x = 7, y = 10

Step-by-step explanation:

9. I first set up an equation x+y=17

then I set up a second equation y = x+3

I substitute y for x+3 and get x+x+3=17 or 2x+3=17

then I just evaluate the equation x=7

I then use my first equation x+y = 17 and substitute the value 7+y= 17 and get y = 10

10. Just divide 156.25 with 6.25 to get the number of hours she had to work to get 156.25 dollars. The answer would be 156.25/ 6.25 = 25

PLEASE HELP I WILL GIVE BRAINLIEST
what is the range?​

Answers

Answer:

The range is 28

Step-by-step explanation:

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