what is the solution of the system of equations below?

What Is The Solution Of The System Of Equations Below?

Answers

Answer 1

Answer:

the answer is B  (2,1)

Step-by-step explanation:

Given the simultaneous equation

[tex]2x+3y=7 .....1\\x+y=3 ..........2\\[/tex]

Using substitution method

from equation 2 :

[tex]x=3-y ....3[/tex]

Substitute equation 3 into 1:

[tex]2(3-y)+3y=7[/tex]

Open the bracket

[tex]2(3)-2y+3y=7\\6-2y+3y=7\\6+y=7\\y=7-6\\y=1[/tex]

Substitute y=1 into x=3-y

[tex]x=3-1\\x=2[/tex]

Hence the solution to the equation is (2,1)

PLEASE MARK ME AS BRAINLIEST


Related Questions

PLEASE HELP!!!
What is the y-intercept of the line shown?

A coordinate plane is shown. A line passes through the y-axis at -1 and through the point 1 comma 2.
−1
0
0.5
1

Answers

Answer:

passes through y = 1 !!!!!!!!!

-1 would be your answer.

Hope this helped!

What does this{^} sign mean?

Answers

Answer:

It means square root for example 3^3 equals 3 cubed

Step-by-step explanation:

if you’re putting the squared symbol you would use that before the 2 (ex. 5^2)

Three times a number (n) is 36 less than five times the number (n). What is the number?

Answers

Answer:

18

Step-by-step explanation:    

To find the number, write an algebraic equation with the given information. Let the variable n represent the unknown number.

Now, break it by parts - "three times a number" would be [tex]3n[/tex]. The "is" means that it equals something, giving us [tex]3n =[/tex]. "36 less than 5 times the number" would be subtracting 36 from whatever 5 times the number is: [tex]5n -36[/tex]. So, put it all together and it is [tex]3n = 5n-36[/tex].

Next, solve the equation for n. The answer will be the number.

[tex]3n = 5n-36\\0 = 2n - 36\\36 = 2n \\n = 18[/tex]

Thus, the number is 18.

18

i am doing it on edg 2020 now

Diana buys a shirt for $14 plus and
pays 8% tax. Eddie buys pants for $25
plus and pays an 8% tax. Enter the
difference in the amount Diana and
Eddie paid, including the tax. Round
your answer to the nearest cent.

Answers

14+8% = 15.17. 25+8%= 27. 11.83. = 11.8

Evaluate if k = 3.
k2 + 5 = [?]

Answers

Answer:

3(2)+5

=6+5

=11

Step-by-step explanation:

Hey there!

If [tex]\bf{k=3}[/tex] then substitute it for the [tex]\bf{k \ value}[/tex][tex]\bf{3^2+5}\\ \bf{3^2\rightarrow 3\times3 = 9} \\ \bf{9+5= 14}\\\boxed{\bf{Answer:14}}}\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

Oliver's plane landed at the airport at 8:00 at night. The plane ride was 9 hours and 39 minutes,
What time did the airplane leave? Move numbers to the clock to show the time,

Answers

Answer:

10:21 in the morning

Step-by-step explanation:

8:00-8 hrs=12:00

12:00-1 hr and 39 min = 10:21

Answer: r u serious???????? it’s easy just uhh 11:21

Step-by-step explanation: i did it in my head

A gardener plants a row of eight trees chosen from three maples, two oaks, and four birches. In how many ways can he plant the row if:
trees of the same type have to be adjacent?

Answers

Answer:

18

Step-by-step explanation:

each possibility needs to exclude one tree so:

mmoobbbb is when you exclude a maple

mmmobbbb is when you exclude an oak

mmmoobbb is when you exclude a birtch

then you can mix them up to get 6 ways per exclusion

6x3=18

so 18 is your answer!

One fourth of the children who are on the bus are wearing a blue shirt. If 8 of the children are wearing a blue shirt, how many children are on the bus in total? *

Answers

Answer:

i would think 32

Step-by-step explanation:

cause you said one fourth and i multiplied 8 and 4 and got 32

HURRY PLEASE
Place the formula components in order of precedence from highest to lowest.
exponents
parentheses
addition/subtraction
multiplication/division

Answers

Answer:

parentheses

exponents

multiplication/division

addition/subtraction

Step-by-step explanation:

PEMDAS

Answer:

1. parentheses

2. exponents

3. multiplacation/division

4. addition/subtraction

Step-by-step explanation:

hope this helps :)

Explain why it is important to solve for the variable first in order to find the measure any angle mentioned in the problem . Yea it's a Geometry problem ​

Answers

In the field of astronomy, the ability to measure angles accurately and precisely enables us to calculate the position and relative movement of the stars and galaxies in relation to each other, to determine how far distant they are from us, and even to estimate their relative size.

Faisal has some stickers,he gives away 13 stickers now he has 11 stickers how many does Faisal give away

Answers

Answer:

he gave 2 away

Step-by-step explanation:

11+2=13

The partial factorization of x2 – x – 12 is modeled with algebra tiles.

An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x, 3 are labeled +. 1 tile is in the Factor 2 spot and is labeled + x. 20 tiles are in the Product spot: 1 is labeled + x squared, 3 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 12 tiles below the + x tiles are labeled negative.
Which unit tiles are needed to complete the factorization?

Answers

Answer:

x² – x – 12 = (x – 4)(x + 3)

Step-by-step explanation:

Identify two numbers that add to -1 and multiply to -12, let's call them p and q.

So ax² + bx + c = (x + p)(x + q)

pq = c

p + q = b.

It is easier to find these numbers by finding factors of -12.

This can be done by splitting the number up until all the numbers are prime.

-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)

There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.

We can eliminate them by adding them up.

6 + -2 = 4 ≠ -1 so that can't be it.

-6 + 2 = -4 ≠ -1 so that can't be it either.

-3 + 4 = 1 ≠ -1

therefore p and q are 3 and -4 because 3 + -4 = -1.

so x² – x – 12 = (x – 4)(x + 3)

p = -4, and q = 3.

(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12

solve for m
-3/7m=12

A: M= -28
B: M= -26
C: M= 26
D: M= 28

Answers

Answer:

A

Step-by-step explanation:

Answer:

-3/7m=12

-3m/7=12 multiplying by 12 on both sides

-3m=12x7

-3m=84

divide by -3

-3m/-3= 84/-3

m= -28

Ans is A

what does bidmas/bodmas stand for???? CASLAN

Answers

Answer:

Bodmas stands for Brackets, Orders, Division, Multiplication, Addition, Subtraction

Step-by-step explanation:

Bidmas stands for Brackets, Indices, Division/Multiplication, Addition/Subtraction.

Answer:

BODMAS=

Brackets

Order

Divide

Multiply

Add

Subtract

Example:

(10 + 10) × 10 ÷ 10

20 × 10 ÷ 10

20 × 1

20 (ans)

5a. Find the value of x. Round to the nearest tenth (1 decimal place).
у
45°
.X
5
Your answer

Answers

Answer:

45

Step-by-step explanation:

The little square at the bottom of the triangle is a 90 degree angle so add 90+45=135 and if the whole triangle equals 180 so you would do 180-135=45

Choose the graph of the solution to this inequality - 6x < 21

Answers

Answer:

d

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Which list orders from least to greatest?

Answers

Answer:

D. -2 2/3, -2.5, 1.3, 1 1/2, 3

Step-by-step explanation:

4m − –3m − 17m − –m − –7m = 12

Answers

Step-by-step explanation:

[tex]\tt{ 4m-(-3m)-17m-(-m)-(-7m)=12 }[/tex] ⠀

[tex]\tt{ 4m+3m-17m+m+7m=12 }[/tex] ⠀

[tex]\tt{ 15m-17m=12 }[/tex] ⠀

[tex]\tt{ -2m=12 }[/tex] ⠀

[tex]\tt{ m=\dfrac{12}{-2}}[/tex] ⠀

[tex]\tt{m=-6 }[/tex]

[tex]4m−(−3m)−17m−(−m)−(−7m)=12\\\\\\4m+3m−17m+m+7m=12\\\\\\15m−17m=12\\\\\\−2m=12\\\\\\m=\dfrac{12}{-2}\\\\\\\bold{\green{m=-6} }[/tex]

What is 8q+12=4(3+3q)

Answers

Answer:

q = 0

Step-by-step explanation:

8q + 12 = 4( 3 + 3q )

Distributive property

8q + 12 = 4 ( 3 + 3q )

8q + 12 = 12 + 12q

Inverse operations

8q + 12 = 12 + 12q

-8q               -8q

12 = 12 + 4q

-12  -12

0 = q

q = 0

Answer:

Q = 0

Step-by-step explanation:

1. Expand.

8q + 12 = 12 + 12q

2.cancle 12 on both sides.

8q = 12q

3. Move all terms to one side.

8q - 12q = 0

4. simplify 8q - 12q to -4q.

-4q = 0

5. Divide both sides by -4.

q=0

therefor, the answer is q=0

i need help asap pls

Answers

the coefficent is 5, since it’s placed before the variable.

Three pounds of strawberries cost $12. Complete the table showing the price of different amounts of strawberries at this rate.

Answers

Answer:

12÷3=4

Step-by-step explanation:

the weight of a small bag of raisins of 3.0 times the weight of a large bag. The large bag weight 8.0 of a pound. what is the weight of the small bag? solve this problem any way you choose.



I just want the answer

Answers

Answer:

4/15

Step-by-step explanation:

can someone help please and thank you

Answers

Answer:

2/5

Step-by-step explanation:

you go up 2 to the right 5

Answer:

2/5 or .20

Step-by-step explanation:

m=rise/run

m=20/50 which simplifies to 2/5 because you divide 10 on the top and bottom

m=2/5

Need help with this math question pls help me will mark brainiest btw

Answers

Answer:

Zero

Step-by-step explanation:

Answer:

Answer: C. Zero

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line shown in the image is horizontal, i.e. all of its points have the same y-coordinate regardless of their x-coordinate.

Take two random points on the line like (0,-2) and (2,-2), the slope is:

[tex]\displaystyle m=\frac{-2+2}{2-0}=0[/tex]

The slope is zero

Answer: C. Zero

Solve the inequality:
3(k + 2) -3 < 15

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

k < 4

Interval Notation:

(−∞, 4)

in a circle abcd, ac=8 cm then find the measure of ob​

Answers

18 because 8 plus 10 is 18 thanks u

Answer:

Step-by-step explanation:

ANS is 4cm

I have been stuck on this question please help

Answers

Answer:

3⁷

Step-by-step explanation:

(3⁴)⁻² * (3⁵)³ =3⁴⁽⁻²⁾*3⁵⁽³⁾ =3⁻⁸*3¹⁵ =3⁻⁸⁺¹⁵ =3⁷

Correct option is B. 3⁷


Julio's father is 4 times as old as Julio.
In 10 years, he will be 2 less than Julio's age
times 3. How old are Julio and his father?

Answers

Answer:

240

Step-by-step explanation:

The sum of two numbers is 21. What is the equations for this statement:

Answers

7+14 is the answer !!!!!

Answer:

Lol, do you still need the answer? If you do, here it is:

The equation is : X+Y=21,   X+Y+21 can be the following options:

1+20=21

2+19=21

3+18=21

4+17=21

5+16=21

6+15=21

7+14=21

8+13=21

9+12=21

10+11=21

Hope this helps, and have a good day :D

choose all the values of a that make the following equation true= 3/4 = a/36​

Answers

Answer:

a = 27

Step-by-step explanation:

3/4 = a/36                  Cross multiply

4*a = 36*3                  Combine the right

4a = 108                     Divide by 4

4a/4 = 108/4

a = 27

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