x+y=3
2x-y=0
substituition method

Answers

Answer 1

Answer:

(1, 2 )

Step-by-step explanation:

x + y = 3 (subtract x from both sides )

y = 3 - x → (1)

2x - y = 0 → (2)

Substitute y = 3 - x into (2)

2x - (3 - x) = 0

2x - 3 + x = 0

3x - 3 = 0 ( add 3 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1)

y = 3 - 1 = 2

solution is (1, 2 )


Related Questions

A rectangle has an area of 1,450.8 square inches and a base of 37.2 inches. What is the height?

Answers

Answer:

39

Step-by-step explanation:

1450.8 / 37.2 = 39

Rachel has 16 chocolate bars . Tracy takes 4 and asks for the remaining quarter. what would she end up with?

Answers

Answer:

Rachel ends up with 9 chocolate bars.

Step-by-step explanation:

16 - 4 = 12

quater is 1/4, so

12 / 4 = 3

12 - 3 = 9

Answer:

9 chocolate bars

Step-by-step explanation:

Rachel had 16 chocolate bars and Tracy takes (minus) 4.Now she has 12.

Tracy asks for the remaining (12) quarter. A quarter is 1/4, and a quarter of 12 is 3.

That leaves Rachel with 9, because 12 - 3 is 9.

Will give brainly crown
Jared’s average daily balance for last month was $560. The finance charge was $8.12.

a. What was the monthly percentage rate?
b. What was the APR?

Answers

Answer:

A) monthly percentage rate = 1.45%

B) APR = 17.4%

The monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Jared’s average daily balance for last month was $560. The finance charge was $8.12.

We have to determine the monthly percentage rate.

The monthly percentage rate is the percentage ratio of the finance charge to the average daily balance.

The monthly percentage rate = finance charge / average daily balance

The monthly percentage rate = $8.12 / $560 × 100

The monthly percentage rate = 0.0145 × 100

The monthly percentage rate = 1.45 %

The Annual percentage rate = 12 × monthly percentage rate

The Annual percentage rate = 12 × 1.45 %

The Annual percentage rate = 17.4 %

Therefore, the monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.

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A square carpet covers 75% of the area of the floor.The floor is 8 meters by 8 meters. (a) What are the dimensions of the carpet? (b) What area of the floor is not covered by carpet?

Answers

Answer:

The dimensions of the carpet are 4√3m by 4√3m.

16m² are not covered by the carpet.

Step-by-step explanation:

The area of an 8m by 8m floor is 64m².

[tex]8*8=64[/tex]

A)

First, 75% of that area is 48m².

[tex]64*0.75=48[/tex]

Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.

[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]

There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.

The 2 solutions are:

[tex]x=6.9282...\\x=4\sqrt{3}[/tex]

The dimensions of the carpet are 4√3m by 4√3m.

B)

Now to find the area that is not covered, just subtract the area that is covered from the total.

[tex]64-48=16[/tex]

16m² are not covered by the carpet.

How Long will it take each student plan to be paid down to $1000?

Answers

The corresponding answers for each student plan are:

plan A: 15 years

plan B: 5 years

plan C: 10 years

plan D: 9 years

Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.

Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.

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Please help I’ll give brainylist in return

Answers

Answer:

Letter A because both of them are SSS

Step-by-step explanation:

Filled up gas tank with 24 gallons. He used .06 gal every mile.

Answers

Answer:

are you asking how many miles he can go bc it would be .6 * 24 = 14.4 miles before he runs out

I’m stuck pls help thanks

Answers

Answer:

[tex](C) \ a=\frac{1}{b}.[/tex]

Step-by-step explanation:

(a+b)²=a²+b²+2;

a²+2ab+b²=a²+b²+2;

2ab=2;

ab=1

4/5% of 15 - show work.
I got 12 but my teacher said it was wrong? what's the right answer then?​

Answers

Answer:

it is 12 but you probably didnt show our work

Step-by-step explanation:

Here is an example you can use:I multiplied 15 by .80 because I know that 4/5 is 80 of 100.

Answer:

0.12

Step-by-step explanation:

This is probably where you got confused

4/5% = 0.8%

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

15 / 10 = 1.5

1.5 / 10 = 0.15

0.15 / 10 = 0.015

or

15 / 1000 = 0.015

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

0.015 x 5 = 0.075

0.015 x 3 = 0.045

0.075 + 0.045 = 0.12

More Detailed Version

4/5 of 1% = 0.8%

0.8% is in the thousandths digit

15 / 1000 = 0.015

0.015 x 5 = 0.075

0.015 x 3 = 0.045

0.075 + 0.045 = 0.12

Brainly?


Evaluate each question below

Answers

Answer:

b=29 a=5.5 n=-13 r=12

Step-by-step explanation:

a: 5+8(4)=5+24=29

b: 3-5(-0.5)=3+2.5=5.5

c: 2(-2)^2-5=2(-4)-5=-8-5=-13

d= -3(-1-3)=-3(-4)=12

substitute the variable with the number and pedmas

variable is the letters in the equation: y=5+8x

How do you solve for x

3x^2 = -24x

Answers

[tex]3x^2 = -24x \\\\\implies 3x^2 +24x =0\\\\\implies x^2 +8x = 0\\\\\implies x(x+8) =0\\\\\implies x =0~~ \text{or}~~ x = -8[/tex]

Step-by-step explanation:

3x² = -24x

Divide through by x

3x = -24

x = -24/3

x = -8

Write the slope-intercept form of the equation of the line that has slope -9 and passes
through the point (4,6).

Answers

Answer:

y = - 9x + 42

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 = - 9 , then

y = - 9x + c ← is the partial equation

To find c substitute (4, 6 ) into the partial equation

6 = - 36 + c ⇒ c = 6 + 36 = 42

y = - 9x + 42 ← equation of line

solve 6(8y-8)×(8³+8)
with solution​

Answers

Answer:

24960(y-1)

I'm so glad to help you with this question hope you get it

Billy wants to save $3,720 so that he can buy the car he wants. If Billy can save $30 per day, how many days will it take him to save enough money?

Answers

It will take billy 124 days to save enough

Answer:

The Answer Above Is Right =)

Step-by-step explanation:

For f(x) = -5x-2, evaluate f(5)

Answers

Answer:

x=5

f(x)= -5x-2

f(5)= -5(5)-2

f(5)= -25-2

f(5) = -27

Answer:

See below:

Step-by-step explanation:

So we know that [tex]f(x)=-5x-2[/tex] therefore to find out what [tex]f(5)[/tex] is we can insert/replace [tex]x[/tex] with 5 due to it being a function, after we do that, we get this:

[tex]f(5)=-5(5)-2[/tex]

Using algebra, we an find out that [tex]f(5)=-27[/tex]

Cheers!

the answer is abffj uynjy uymn mhk um

Answers

yes because the political aspect of this question

George Anderson takes out $30,000 of a twenty-payment life insurance. If he is twenty-six years old, what annual premium does he pay?

Answers

Annual premium=$846.90

Andrew measured a line to be 11 inches long. If the actual length of the line is 11.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

3.5

Step-by-step explanation:

Error=11.4-11=0.4

Percentage error = (0.4/11.4) × 100 = 3.5 to the nearest tenth

The percent error in estimate is 3.5%

What is error?

In practical mathematics, error is the distinction between a true value and an approximation, or approximate, representation of that value. A common example in statistics is the difference between the mean of the entire population and the mean of a sample picked from that population. An example of a round-off error in numerical analysis is the difference between an irrational number's actual value and the value of rational expressions.

Given

measured value  = 11 inches

actual value = 11.4 inches

percent error = ((actual value - Estimate value)/actual value)100

percent error =  ((11.4 - 11)/11.4)100

percent error = 0.03508 x 100

percent error =  3.508% = 3.5%

Hence the percent error is 3.5%.

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Simplify square root of negative 49.

Answers

Answer

7 i i think

Step-by-step explanation:

If p is inversely proportional to the square of q, and p is 8 when q is 3, determine p when q is equal to 2.

Answers

Answer:

16/3

Step-by-step explanation:

formula :

p = kq

k = 8/3

so that is k

it will be like this "p = 8/3 x"

p = 8 × 2 / 3

p = 16/3

cant divide 3 with 16.

so, "p = 16/3" is the answer

Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit

Answers

Answer:

$400,000 and $600,000

Step-by-step explanation:

2x = one sister amount

3x = the other sister amount

Total money = $1,000,000

5x = 1,000,000

 x =  1,000,000/5

 x = 200,000

2x = 2(200,000)  = $400,000

3x = 3(200,000) = $600,000

Check:  one sister amount + the other sister amount = $1, 000,000

              $400,000 + $600,000 = $1,000,000

ratio 2:3=2+3=5

so the first sisters share is

(2/5×1,000,000)

=200,000×2

=400,000.....thats the first sisters share

so....the second sister's share is

(3/5×1,000,000)

=3×200,000

=600,000.....thats the second sisters share

and to check if your answer is correct

you can add both of their shares

600,000+400,000=1,000,000.

Find the distance between points X and M

Answers

Answer:

i want to say 4 or -4?

Step-by-step explanation:

uhhh

Answer:

-4

Step-by-step explanation:

-6

-5

-4

-3

-2

so in the middle there is 4 so its -4

Solve each system by elimination
7x + 8y = -29
-3x -8y = 17

Answers

4x=-12
x= -3
Now that we know the value of x we plug that value into the first equation to solve for y
7(-3) +8y=-29
-21+8y= -29
8y=-8
y= -1

What is the area of the shaded portion of the square?

Answers

Answer:

Maybe 34cm

Sana makatulong..

Answer:

144.5 cm^3

Step-by-step explanation:

17 x 17 = 289
289 divided by 2 (because half of the square is shaded)

Which equals 144.5 cm ^3

Help me pleassssssssssssssss

Answers

Answer:

C

Step-by-step explanation:

I NEED THE ANSWER ASAP. IM BEING TIMED

The following information is known about a savings account.
Time = 6 years
Interest rate = 1.9%
Principal = $850
What amount of total interest will be earned at the end of year 6?

Answers

Answer:

96.90

Step-by-step explanation:

I = PRT

T = 6

P = 850

I = 1.9% = 0.019

I = (850)(0.019)(6) = 96.90 <==

you and your friends are going to the movies.You bought 5 tickets and spent 12.50 for popcorn.Your total was $80.Write and solve an equation to calculate the cost of each ticket

Answers

80=5x+12.5

We just use the equation y=mx+b. Where 80 is our Y, 5 is our slope, or m, and 12.5 is our constant, or b.

For the giggles I'll also solve the equation.

80-12.5=5x

67.5=5x

67.5 / 5 = x

13.5 = x

This means that each ticket was $13.5. Wow, that's an expensive ticket.

I hope this helps! :)

Answer:

I will answer soon aim coming

Multiplication:
(a) 7/3×2/9 (b) 3/7×5/11 (c) 15/8×6/25 (d) 21/20×15/14
Division:
(a) 3/4÷5/7 (b) 9/5÷6/11 (c) 15/8 ÷6 (d) 8/7÷12
Culcul constant des fractions:
(a) 3/7+15/7×3/2 (b) 9/5×(1/4-5/12) (c) (3/8+7/5)÷(9/4-5/3)​

Answers

Multiplication:-

a. 7/3 × 2/9 = 7x2/3x9 = 14/27.

b. 3/7 × 5/11 = 3×5/7×11 = 15/77.

c. 15/8 × 6/25 = 3×3/4×5 = 9/20.

d. 21/20 × 15/14 = 3×3/4×2 = 9/8.

Division:

a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4

b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10

c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16

d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.

Culcul constant des fractions:

a. 3/7 + 15/7 x 3/2

= 3/7 + 45/14

= (3 x 2) / (7 x 2) + 45/14

= 6/14 + 45/14

= 51/14

b. 9/5 x (1/4 - 5/12)

= 9/5 x [(1 x 3) / (4 x 3) - 5/12]

= 9/5 x (3/12 - 5/12)

= 9/5 - 2/12

= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)

= 108/60 - 10/60

= 98/60

= (2x 49) / (2 x 30)

= 49/30.

c. (3/8 + 7/5) ÷ (9/4 - 5/3)

= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]

= (15/40 + 56/40) ÷ (24/12 - 20/12)

= 71/40 ÷ 4/12

= 71/40 x 12/4

= 852/160

= (4 x 213) / (4 x 40)

= 213/40.

Hope this helps..

The lines represented by the equations 2y - 3x = 14 and y - 3/2x= 7 are

Answers

Answer:

00000

Step-by-step explanation:

I’ll give brainliest, thanks and 5 stars

the diameter of a pool is 28 m. the circumference of the deck is 101 m. what is the area of the pool and deck?

Answers

Answer:

ok

Step-by-step explanation:

soln,

d=28m

r=d/2=28/2

=14m

now,

[tex]\pi {r}^{2} [/tex]

22/7×(14×14)

22/7×196

=616m^2

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