Solve the system of equations algebraically by using substitution method:

-3x+3y=9
-x+y=3

Answers

Answer 1

Answer:

This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.

Step-by-step explanation:

-3x+3y=9

-x+y=3

Isolate either x or y in any of the equations. I'll go with the second.

y = 3+x

Now substitute this for y in the first equation.

-3x+3(3+x)=9

Distribute the 3

-3x+9+3x=9

Combine like terms:

9=9

0=0

It's infinite


Related Questions

help me pleaseeee i’m begging!!!!

Answers

Answer:

The student did not complete the inverse operations correctly in Step 3

Your suppose to look at the graph.
If you could help me that would be great!

Answers

Answer:

B) $3 per gallon

Step-by-step explanation:

You can see on the graph that for 1 gallon of gasoline, it is $3.

Hope this helped!

Please mark as brainliest!

What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?

Answers

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]

Therefore, the required point is located as follows;

[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]

The coordinates of the point is (0, -4)

Which situation can be modeled by a linear function?
A. The population of bacteria triples every day.
B. The value of a cell phone depreciates at a rate of 3.5% each year.
C. An amusement park allows 50 people to enter every 30 minutes.
D. A baseball tournament eliminates half of the teams after each round.

Answers

C. An amusement park allows 50 people to enter every 30 minutes.

Answer:

(3) An amusement park allows 50 people to enter every 30 minutes.

Step-by-step explanation:

I hope it helped because it helped me so much.

what is the length of side x in the above right triangle​

Answers

Answer:

its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer

pls help me im so confused
5n-17=2n+1

Answers

Answer:

n=6

Step-by-step explanation:

5n-17=2n+1

Subtract 2n from each side

5n-2n-17=2n-2n+1

3n -17 = 1

Add 17 to each side

3n -17+17 = 1+17

3n = 18

Divide by 3

3n /3 = 18/3

n=6

[tex] \large \sf \star \: \green{Answer }\: \star[/tex]

[tex] \small \sf \fbox{n = 6}[/tex]

Step-by-step explanation:

[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]

subtract 2n from both side

[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]

[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]

Add 17 to both side

[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]

[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]

Divide 18 by 3

[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]

n = 6

find the base of the triangle when the area is 94.5

Answers

Answer:

Base = 10.5 cm

Step-by-step explanation:

GIVEN :-

Height of the triangle = 18 cmArea of the triangle = 94.5 cm²

TO FIND :-

The base of the triangle

GENRAL FORMULAE TO BE USED IN THIS QUESTION :-

For a triangle with height 'h' & base 'b' , its area = [tex]\frac{1}{2} \times b \times h[/tex]

SOLUTION :-

[tex]Area = \frac{1}{2} \times Base \times Height[/tex]

[tex]=> 94.5 = \frac{18b}{2}[/tex]

Multiply both the sides by 2

[tex]=> \frac{18b}{2} \times 2 = 94.5 \times 2[/tex]

[tex]=> 18b = 189[/tex]

[tex]=> b = \frac{189}{18} = 10.5[/tex]

Factor completely . 121 - x ^ 2

Answers

Answer: Since both terms are perfect squares, factor using the difference of squares formula,  

a 2  −  b 2 =  ( a + b )  ( a − b)  where  a = 11  and  b = x . ( 11+x) (11-x)

what is the perimeter of a rectangle with a base of 5 and a height of 8

Answers

Answer:

26

Step-by-step explanation:

Perimeter= width+height+width+height

               = 5 + 8 + 5 + 8

               = 26 cm

Hope this helps!

For an afternoon flight, the cost of a premiunm ticket is reduced from $114 to $96.90

Calculate the percentage reduction in the cost of a ticket​

Answers

Answer:

out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong

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

Answers

Answer:

below

Step-by-step explanation:

uG =(12sin45)/sin85

how do i solve this using multi-step ?

Answers

Answer:

x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−4)=2(−2x+1)

(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)

3x+(−12)=−4x+2

3x−12=−4x+2

Step 2: Add 4x to both sides.

3x−12+4x=−4x+2+4x

7x−12=2

Step 3: Add 12 to both sides.

7x−12+12=2+12

7x=14

Step 4: Divide both sides by 7.

7x /7 =14 /7

x=2

How would I know this it so hard

Which expression is equivalent to 4(2x + 1)?
8x + 1
8x +4
6x + 5
O
2x + 4

Answers

Answer:

8x + 4

Step-by-step explanation:

You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4

Solve for X answer as a whole number

Answers

Step-by-step explanation:

[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]

as a whole number = 5

Hey, I need help for this question, not sure what it is. Please respond quickly!

Use the diagram and given information to answer the questions and prove the statement.

Given: Angle X ≅ Angle Z
XY ≅ ZY
Prove: AZ ≅ BX

Prove AZ ≅ BX using a flow chart proof.

Answers

Answer:

my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation

Find the area of the polygon . :)

Answers

Answer:

41 square units

Step-by-step explanation:

this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.

for me this split would be

1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.

2. a right-angled triangle ABF (the same F as for 1.).

the area of a square is the square of a side length.

the side length in 1. is 4.

so, its area is 4×4 = 16 square units.

the area of a right-angled triangle is

a×b/2

with a and b being the sides enclosing the 90 degree angle.

in our case here a = BF = 10, b = FA = 5

so the area of the triangle is 10×5/2 = 25 square units.

so, the total area is 16 + 25 = 41 square units.

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

14

Step-by-step explanation:

AB = 10+( 10/15 × 6)

= 10 + 4= 14

If AD = 5.1cm, find the height (in cm) of the triangle.

Answers

Answer:

I. AC = 15 cm

II. h = 7.4 cm

Step-by-step explanation:

I. Determination of AC

AB = 9 cm

BC = 12 cm

AC =?

The length AC can be obtained by using pythagoras theory as illustrated below:

AC² = AB² + BC²

AC² = 9² + 12²

AC² = 81 + 144

AC² = 225

Take the square root of both side

AC = √225

AC = 15 cm

II. Determination of the height.

AB = 9 cm

AD = 5.1 cm

BD = h =?

The height of the triangle can be obtained by using pythagoras theory as illustrated below:

AB² = AD² + BD²

9² = 5.1² + h²

81 = 26.01 + h²

Collect like terms

h² = 81 – 26.01

h² = 54.99

Take the square root of

h = √54.99

h = 7.4 cm

Which expression is equivalent to

Answers

Hey there!

(a^8)^4

= a^(8)(4)

8(4) = 32

= a^32

Answer: a^32

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Gia is thinking of a number, witch she calls n .she adds 4 to the number and then doubles the sum.


write an expression to represent Gia's number.

Answers

Answer:

2(n+4)

good luck

Answer:

n+4=n×2

Step-by-step explanation:

that is the equation

Interest earned:$45 Principal: ? Interest rate: 3% Time: 2 years

Answers

Answer:

The Principal = $75,000

Step-by-step explanation:

Formula for finding the principal:

I × 100/ R × T

Therefore;

Principal = 45 × 100 / 3/ 100 × 2

[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]

Which means that the Principal is $75,000.00

Which equaiton reprsents a line that passes through the two points in the table? A.y+1=5/4(x+1) B.y+6=4/5(x+5) C.y-6=4/5(x-5) D.y-1=5/4(x-1)

Answers

Answer:

C

Step-by-step explanation:

It’s c

Need help!!!! On a timer!!!

Answers

Answer:

D

Step-by-step explanation:

(hg)(x)=(4x+3)(x+2)=4x²+11x+6

formula for surface area of triangular prism

Answers

Answer:

A = bh + L(s1 + s2 + s3)

Step-by-step explanation:

The formula for finding surface area of triangular prism is A = bh + L(s1 + s2 + s3).

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height

Which statement is true?
Question 13 options:

A)
–|3| = 3 and |4| = 4

B)
|–3| = 3 and –|–4| = –4

C)
|–3| = 3 and –|4| = 4

D)
|–3| = 3 and |–4| = –4

Answers

B.

Anything inside of the lines is positive. Positive 4 times negative 4 is negative

A boat is travelling from point c toward point d which is on the shoreline the shoreline is represented by the line through point a and point b

Answers

Answer:

The answer is "lines CD & AB are perpendicular ".

Step-by-step explanation:

Given points:

[tex]A=(0,7)\\\\B=(8,-5)\\\\C=(-3,-8)\\\\D=(6,-2)[/tex]

Calculating the slope of AB: [tex]y = -\frac{12}{8}x + 7[/tex]

Calculating the slope of CD: [tex]y = \frac{6}{9}x - 6[/tex]

simplify the slop:

[tex]AB= -\frac{3}{2}\\\\CD=\frac{2}{3}\\\\[/tex]

Which one is it I’m super confused...

Answers

Answer:

( x-2)^2 +(y-5)^2 = 12.25

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

( x-2)^2 +(y-5)^2 = (3.5)^2

( x-2)^2 +(y-5)^2 = 12.25

if 1 cm = 10 km then how much is 8 km? And how much is 5 km? i will give brainly

Answers

Answer:

0.8 cm = 8km

0.5cm = 5km

hope this helps

Please help me
The question is at what rate did rain fall

Answers

Answer:

4 cm per hour that's the answer

Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle's width A(w) What does the second coordinate of the vertex of the quadratic function A(w) represent?

Answers

Answer:

B. The maximum area that can be enclosed by the fencing

Answer: The maximum area that can be enclosed by the fencing

Step by-step explanation: got it right on my test

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