What is the solutions of the following system of equations.

y = -2x + 2

y = x - 1

Answers

Answer 1

Answer:

x = 1, y = 0

Step-by-step explanation:

Given the 2 equations

y = - 2x + 2 → (1)

y = x - 1 → (2)

Substitute y = x - 1 into (1)

x - 1 = - 2x + 2 ( add 2x to both sides )

3x - 1 = 2 ( add 1 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (2)

y = 1 - 1 = 0

Solution is (1, 0 )


Related Questions

Order the set of integers from greatest to least.{-8, 32, 55, -32, -19, -3}

Answers

Answer:

55,32,-3,-8,-19,-32

Step-by-step explanation:

55, 32, -3, -8, -19, -32

Each Purse Contains 8 Coins. Find A rule to give the total number of coins in 'n' purses.

Answers

Answer:

8n

Step-by-step explanation:

pls help this is due today!!! if correct I'll make Brainliest!!!!​

Answers

1= 1/8

2= 4/8

3= 2/8

Step-by-step explanation:

The probablity would be 3/4

I need help it khan 4q+3+2q-1​

Answers

Answer: 6q +  2

Step-by-step explanation:

6.2yd
15.7yd
8.5yd
what is the volume of the triangluar prism

Answers

Answer:

6.2 yards

Step-by-step explanation:

A bakery sells 5 muffins for every 6 cookies it sells. Complete the table to show the relationship between the number of muffins and cookies the bakery sells. Enter a number in each box

Answers

Answer:

24 cookies

25 muffins

96 cookies

I have the same question 73737 it’s not the answer I just need the answer for this

Complete the Square
x– 6x + 2 = 0
PLEASE ANSWER

Answers

Answer:

somebody will answer for you!

Step-by-step explanation:

Plz someone help I beggggg

Answers

Answer:

25100 i believe  would be the answer

Step-by-step explanation:

1. Consider the following system of linear equations.
1
5
y =
5x+y
4 5
3*-3y = 3
2
Part A: What property/properties can be used to write an equivalent
system?

Answers

Answer:

2

Step-by-step explanation:

Each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties except the ______.

A. Square
B. Rectangle
C. Trapezoid
D. Parallelogram

Answers

Trapezoid is the correct answer :) good luck

Trapezoid is the quadrilateral with only one pair of opposite parallel sides.

What is Quadrilateral?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.

Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.

Hence, the correct option is Trapezoid.

For more references on Quadrilateral, click;

https://brainly.com/question/13805601

#SPJ2

Sovle for x !!!!!!!!

Answers

Answer: A -11

Step-by-step explanation: trust me

Solve for x and all the missing angles.
(-11+3y)
(34+Y)
(37+y)°

Answers

Answer:

y=24; Angle 1: 61 degrees; Angle 2: 58 degrees; Angle 3: 61 degrees

Step-by-step explanation:

-11+3y+34+y+37+y=180   The sum of all the angles in a triangle is 180 degrees.

60+5y=180  Combine like terms

5y=120  Subtract 60 from 180

y=24   Divide 120/5

Angle 1: -11+ 3(24)= 61 degrees

Angle 2: 34+24=58 degrees

Angle 3: 37 + 24= 61 degrees

simplify (y + 1)^5y + 1)^3​

Answers

Note: Your expression sounds a little unclear, so I am assuming your expression is

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

But, the procedure to solve the expressions involving exponents remains the same, so whatever the expression is, you may be able to get your concept clear.

In the end, I will solve both expressions.

Answer:

Please check the explanation

Step-by-step explanation:

Given the expression

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

solving the expression

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]\left(y+1\right)^5\left(y+1\right)^3=\left(y+1\right)^{5+3}[/tex]

                          [tex]=\left(y+1\right)^8[/tex]

Therefore, we conclude that:

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3=\left(y+1\right)^8[/tex]

IF YOUR EXPRESSION IS THIS

                       ↓

[tex]\left(y\:+\:1\right)^{\left(5y+1\right)^3}[/tex]

solving the expression

as

[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3[/tex]

so

[tex]\left(5y+1\right)^3=125y^3+75y^2+15y+1[/tex]

               [tex]=125y^3+75y^2+15y+1[/tex]

Thus, the expression becomes

[tex]\left(y+1\right)^{\left(5y+1\right)^3}=\left(y+1\right)^{125y^3+75y^2+15y+1}[/tex]

Please help I’ll give you brainliest uwu

The ratio of gas cars to
hybrid cars in the
school parking lot is 15:4. There are 12
hybrid cars in the parking lot. How many
gas cars are in the parking lot?

Answers

Answer:

I think the answer is 45

i need help its for 7th grade math​

Answers

Answer:

4:20

Step-by-step explanation:

because there are 20 teachers in all and 4 science teachers so your chances of getting a science teacher are 4 out of 20

Please answer quickly, thanks. :) 35 points and if you answer there are more so you can get 250 points

Answers

Answer:

11 cars/day

Step-by-step explanation:

What we know:

After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.

Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.

I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.

What is the solution to this subtraction sentence?
-5/6 – (-1/2) = ________
A. -4/3
B. -5/6
C. -1/2
D. -1/3

Answers

Answer:

D: -1/3

Step-by-step explanation

           

Answer:

The answer is D.-1/3

Step-by-step explanation:

I took the quiz

Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, start text, space, m, e, t, e, r, s, end text. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 start text, m, end text, squared

Answers

Answer:

25[tex]\pi\ m^2[/tex]

Step-by-step explanation:

Given that:

A large circle in the park has its middle part painted.

The circle is divided in 4 equal parts.

Radius of the circle = 10 meters

To find:

Area of each section of the circle, [tex]A[/tex] = ?

Solution:

Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.

First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:

[tex]Area = \pi r^2[/tex]

Here, [tex]r = 10 m[/tex]

Putting the value in the above formula, we get:

So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]

Now, there are 4 equal parts of the circle, therefore area of each section will be equal.

Area of each section of the circle:

[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]

i need help on this plz!

Answers

Its 23

Step-by-step explanation:

is 3x+11/x-4 = 4/x(x-4)​

Answers

Answer:

x= -5

Step-by-step explanation:

Ashley had a summer lemonade stand where she sold small cups of lemonade f
or $1.25 and large
cups for $2.50. If Ashley sold a total of
155 cups of lemonade for $265, how ma
ny cups of each
type did she sell?​

Answers

Answer:

$267.7

Step-by-step explanation:

57 large cups and 98 small cups
98x1.25=122.5
57x2.50=142.5
122.5+142.5=265

A dog drank ¼ quart of water from a birdbath. The birdbath now has ⅝ quart of water. How much water was in the birdbath before the dog’s drink?

Answers

Answer:

7/8 of a quart

The answer is 7/8ths

What is the radius of the base of the cylinder below?

A cylinder with height of 36 inches and diameter of 42 inches.

inches

Answers

Answer:

21

Step-by-step explanation:

10.Adrienne is going to deposit $8,500 in an account that earns 2.5% interest for 360 months. How much more interest will she earn if the account earns annual compound interest rather than annual simple interest?

Answers

Answer:

Difference= $3,090.15 in favor of compounded interest

Step-by-step explanation:

Giving the following information:

Present value (PV)= $8,500

Ineterest (i)= 0.025/12= 0.00208

Number of periods (n)= 360 months

We will calculate the future value of each option and determine the difference:

Simple interest:

FV= (PV*i*n) + PV

FV= (8,500*0.00208*360) + 8,500

FV= $14,864.8

Compounded interest:

FV= PV*(1+i)^n

FV= 8,500*(1.00208^360)

FV= $17,958.95

Difference= $3,090.15

What is 12x³ – 9x² – 4x + 3 in factored form? hurry...

Answers

Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

Find the value of r so the line that passes through each pair of points has the given slope.
(r,3), (5,9), m = 2

Will give brainillest if you show work thank you

Answers

(X-x0)m=y-y0

(X-5)2=y-9

2x-10=y-9

2x-1=y

Substitute (r,3) in the equation

2(r)-1=3

2r=4

R=2

mga solusyon sa epektibong komunukasyon sa pamilya

Answers

Heyy :) lol I don’t know what u just said but yeah heyy

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.​

Answers

Answer:

12×12=144

2years=144/12×100

2years=$120

Step-by-step explanation:

Amanda's dog eats 7 1/2 Pounds of dog food in 2 weeks how much does amandas dog eat each day?

Answers

Answer:

0.535 pounds

Step-by-step explanation:

Answer:

15/28 pounds

Step-by-step explanation:

7 1/2 ÷ 14 days = 15/28

Match the equivalent expressions 4(2x + 3) - 7x

Answers

The answer would be 8x+ 12 - 7x or 20x - 7x
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