Solve using substitution 4x+2y=10
X-y=13

Answers

Answer 1
X= 6 , y= -7
…………………
Answer 2

Answer:

Your solution is (6, -7)

Step-by-step explanation:

4x + 2y = 10

x - y = 13

We want to solve for one variable at a time.

Let's start with x.

x - y = 13

Add y to both sides.

x = 13 + y

Now we have an expression for x.

Plug this into each instance of x in the first equation.

4x + 2y = 10

4(13 + y) + 2y = 10

Distribute the 4 across the parentheses.

52 + 4y + 2y = 10

Combine like terms.

52 + 6y = 10

Subtract 52 form both sides.

6y = -42

Divide both sides by 6.

y = -7

Now that we know y, plug its value back into the expression for x.

x = 13 + y

x = 13 + (-7)

Simplify.

x = 13 - 7

Subtract.

x = 6

Your solution is (6, -7).

Hope this helps!


Related Questions

(pls help i’m suffering) 3.06a Finding Standard Form by Completing the Square
Classify each as Circle, Quadratic (parabola) or other
(x - 5)2 + (v - 2) = 16
= 100
22 - x = 25
(x - 2) - (y + 5)= 10
y = 2x + 5

Answers

Step-by-step explanation:

A circle equation is represented by

[tex]x {}^{2} + {y}^{2} = r {}^{2} [/tex]

A circle have both terms to the 2nd. degree

The 1st equation, 2nd equation, 4th equation are circles.

A quadratic is represented by

[tex] {x}^{2} + bx + c[/tex]

A quadratic equation only has one term that is second degree.( meaning if x and y are both to the 2nd degree, it will not be a quadratic, it will be a circle.

The 3rd equation is a quadratic.

The fifth equation has a leading coefficient at the degree of 1 so it is other(linear)

This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.

What is a quadratic function?

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

From the given table we can get the dy/dx which is the slope (m) ,

Therefore,

dy/dx = (7 - 10 ) / ( 4 - 3 )

dy/dx = -3

Now,

( y - y1 ) = m ( x - x1 )

Putting the value from the table,

( y - 10 )  = -3 ( x -5 )

=> y - 10 = -3x + 15

=> 3x + y = 25

To learn more about quadratic function refer

https://brainly.com/question/28870194

#SPJ2

The triangle below is equilateral. Find the length of side x x in simplest radical form with a rational denominator

Answers

Answer:

x = √30

Step-by-step explanation:

We are given an equilateral triangle, so the angles will all be (180/3). = 60

Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x

Tan θ = opposite / Adjacent

Tan 60 = x / √10

Tan 60 = √3

Hence,

√3 = x / √10

x = √3 * √10

x = √30

At Marie's Book and Music Store, 7/20 of the sales come from
books, 6/20 of the sales come from music and 3/20 of the sales
come from video games.
What fraction represents the portion of sales from books, music,
and video games?

Answers

the fraction would be 16/20

HELPP PLS ASAP I NEED HELP

Answers

Answer:

Option (b) second one is the correct answer

For each of the following quadrilaterals, select all the properties that must be true.

Answers

All have 2 pairs of parallel sides all sides congruent and all have rig angles
2.0gm
This is the answer to the qjestion

how many ounces is 13 lbs?​

Answers

Answer:

208 oz

Step-by-step explanation:

So do 16x13=208

13 lbs=208 oz

brainliest pls?

Answer:

its 208 ounces

What is the area of the trapezoid below?

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 34.5cm2. (don't blame meh if wrong)

Step-by-step explanation:

Step 1: Find the area of the square; 4.6 x 3.2 = 14.72

Step 2: Find the bottom length to find the area of the triangle; 7.5 - 3.2 = 4.3

Step 3: Find the area of the triangle; 4.3 x 4.6 = 19.78

Step 4: Add the area of the square to the area of the triangle; 14.72 + 19.78 = 34.5

[tex]P=\frac{11}{40}+\frac{1}{4}-\frac{1}{20}[/tex]

Answers

Answer

p = 19/40

Please give brainliest

Need help immediately
A sum of money is to be divided among A, B and C in the ratio 2:3:5. The smallest share amounts to $210.
Calculate:
i. The total sum of money to be shared
ii. C’s share
iii. B’s share​

Answers

Answer:

Step-by-step explanation:

If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,

2x = 210 and x = 105.

The total sum = 210 + 3(105) + 5(105) so

Total sum = 210 + 315 + 525

Total sum = 1050 and

C's share is 525 and

B's share is 315

Question
2x + 3y = 11
x – 3y =1
What is the solution (x, y) to the given system of equations?
O (4,0)
O (4,1)
O (12,8)
O (12, 10)

Answers

Answer: (4, 1)

Step-by-step explanation:

Let's solve this by adding the equations

2x+3y=11

+x-3y=1

3x=12

Now we can solve

[tex]\frac{3x}{3} =\frac{12}{3} \\x=4[/tex]

Now that we know x=4 it can only be the first to options. Let's sub in the value of x to one of the original equations to find the value of y.

[tex]2(4)-3y=11\\8+3y=11\\8+3y-8=11-8\\\\3y=3\\\frac{3y}{3} =\frac{3}{3} \\y=1[/tex]

The answer is (4, 1)

two rectangles have a scale factor of 4:1. If the area of the larger rectangle is 156cm^2, what is the area of the smaller rectangle?

A. 26.75 cm^2
B. 31 cm^2
C. 9.75 cm^2
D. 39 cm^2

Answers

Answer:

c=9.75cm^2

Step-by-step explanation:

156/16 because you are deivding each side by 4 and 4x4=16 and the area is 156

Please could someone help me?

Answers

Answer:

C

Step-by-step explanation:  6  23  17  16

15 is the highest value

Answer:

7:00 pm

Step-by-step explanation:

Mode - Result that appears the most

15 people said they preferred the time 7pm. 15 is the largest number out of the given data

So the mode is 7pm

Find the equation of the line that is parallel to the line
y = 3x + 3 and passes through the point (10,1). Write the
equation in slope-intercept form.

Answers

9514 1404 393

Answer:

  y = 3x -29

Step-by-step explanation:

The parallel line will have the same slope: 3. The y-intercept can be found from ...

  b = y -mx

  b = 1 -(3)(10) = 1 -30 = -29

Then the slope-intercept equation is ...

  y = 3x -29

Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.

Answers

Answer:

a) The equation for the situation = 14.50 = 4.5 + 1.25n

b) The number of oranges she bought = 8 oranges

Step-by-step explanation:

Where n represents the number of oranges.

The equation is written as

Total charge = $0.75 × 6 + $1.25 × n

$14.50 = $0.75 × 6 + $1.25 × n

14.50 = 4.5 + 1.25n

1.25n = 14.5 - 4.5

1.25n = 10

n = 10 / 1.25

n = 8 oranges

the 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio​

Answers

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

How can you find the area of a circle if you only know the circumference?

Answers

https://youtu.be/3y1U0sntOsI

A tube of toothpaste holds 75 ml.
How many tubes can be filled using 3 litres of toothpaste?
Pls help

Answers

Answer:

40 tubes

Step-by-step explanation:

1 liter = 1,000 milliliters

2 liters = 2,000 milliliters

3 liters = 3,000 milliliters

A tube of toothpaste = 75 ml

How many tubes can be filled using 3 litres of toothpaste?

Let

x = number of tubes

x tubes of toothpaste = 3000 ml

x = 3000 ml / 75 ml

x = 40

x = number of tubes = 40 tubes

WILL GIVE BRAINLIEST
Determine whether each scenario below is an example of a BIASED or UNBIASED sample

Answers

Answer:

1. Unbiased

2. Biased

Step-by-step explanation:

Find the side length of x (trigonometry)

Answers

Answer:

x=12.124

Step-by-step explanation:

here 7 and x are the legs of the triangle where as 14 is hypotenuse because it is opposite opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

here and b are legs and c is hypotenuse

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 =196-49

x^2 =147

x=[tex]\sqrt{147}[/tex]

x=12.1243

x=12.124 (after converting to the nearest hundredth)

What is 938 written in standard form?


Answers

Answer:

[tex]9.38 \times 10^{2}[/tex]

Step-by-step explanation:

All numbers in scientific notation or standard form are written

                                                                                       [tex]m \times 10^n[/tex],

where m is a number between 1 and 10.

Answer:

[tex]9.38 \times {10}^{2} [/tex]

Step-by-step explanation:

All numbers in standard form are written

[tex]m \times {10}^{n} [/tex]

Hope it is helpful....

Pls help I don’t know how to do this

Answers

The right answer is a i think i don't known step by step

Step-by-step explanation:

a

a

I need some help with this please! An explanation would be lovely too!

Answers

Answer:

20

Step-by-step explanation:

if m<ABC is = 40 and BD is besector then m<ABD = 20

what is a way to describe the shape of this graph

Answers

The dots to the right of 5 are more spread out

6;10;14
find the next two terms of the sequence​

Answers

Answer:

18

Step-by-step explanation:

Add 4

Answer: 18;22

Step-by-step explanation:

Let's start by finding the common difference.

10-6=4

14-10=4

The common difference is 4 meaning to get to the next numbers we must add 4.

6+4=10

10+4=14

14+4=18

18+4=22

please help I will give brainlist​

Answers

Answer:

Your answer will be B

Step-by-step explanation:

Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8

You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...

I hope this helped if not tell me please....❤

Answer: Option B (y=8x+14)

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

y=8x+14

y=8(0)+14

y=14

y=8x+14

y=8(1)+14

y=8+14

y=22

y=8x+14

y=8(2)+14

y=16+14

y=30

and so on. Now your answer would be Option B.

THE CREDIT GOES TO (IjlalHashmi)

What do x and y equal?

Answers

Y is equal to 23 and x is equal to 28. This is because you can move 3y over to the corner to its left that matches the position 3y is in. From there you set 3y + 5y -4 = 180 because the add up to a straight line. Then you get 23 for y and you can use that to make 3y=69. Use the 69 to set it equal to 2x +13 and solve to get x=28.

suma de letras y numeros

Answers

You have to put the answer so we can help you or at least try and help you out
You have to put the answer for the question

A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58° with the ground. Find the length of the wire.

Answers

it is a right triangle
cos 58 = 20/length of rope
length of rope = 20/cos 58 degrees
= 37.74 feet

Solve for B
A= 3( B + C )

Options:
- B= ( A - C )/ 4
- B= ( 3A - C )/ 4
- B= ( A - 3C )/ 3

Answers

B=(A-3C)/3 that’s the correct answer to this question. I hope it helped :)

need an answer asap will give the first answer brainliest

Answers

Answer:

The answer would be the first one.

m = -3n

Step-by-step explanation:

Answer:

m = -3n

Step-by-step explanation:

-6 = (-3)2  True

-12 = (-3)4  True

-18 = (-3)6  True

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