What is the solution of the equation

Topic : Linear equations in two variables.

Given :

Solution :

Now,

(i) + (ii)

[tex] \qquad \sf \: { \dashrightarrow 3x + 2y + (x - 2y) = - 4 + 4}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 3x + 2y + x - 2y = 0}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 3x \: \cancel{ + 2y} + x \: \cancel{- 2y} = - 4 + 4}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 4x = 0}[/tex]

[tex] \qquad \bf \: { \dashrightarrow x = 0}[/tex]

Now, substituting the value of x in Eq (i) :

[tex]\qquad \sf \: { \dashrightarrow 3x + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 3(0) + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 0 + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow y = \dfrac{ - 4}{2} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow y = -2}[/tex]

Therefore, The value of x = 0 and y = -2

The solution to the two given simultaneous equations are; x = 0 and y = -2

We are given the simultaneous equations;

3x + 2y = -4   -----(eq 1)

x - 2y = 4      ------(eq 2)

Add eq1 and eq2 to get;

4x = 0

x = 0/4

x = 0

Substitute 0 for x in eq 2 to get;

0 - 2y = 4

-2y = 4

y = -4/2

y = -2

Read more about Simultaneous Equations at; https://brainly.com/question/16863577

Answer: A.

Step-by-step explanation:

The correct answer is A.

Triangular prism has 4 sides, including the base. The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]

Lateral area of the considered triangular prism is the sum of areas of the triangles it is made up from except that of the base triangle.

The lateral area of a right prism which is regular (all lateral sides congruent) is given by:

[tex]A_L = P \times h[/tex]

where, P = Perimeter of the base

h = height of that prism

For the given case, we have the base of the triangular prism of side length x units.

Thus, perimeter of the base = x + x + x = 3x

Height of the base = h = 4 times x = 4x

Thus, we get:

Lateral area of the prism = [tex]3x \times 4x = 12x^2 \: \rm inch^2[/tex]

Thus, The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]

Learn more about lateral surface area of a prism here:

https://brainly.com/question/9656717

Awnser:

B: 12x (2) <----- (squared) square inches

Step-by-step explanation:

edge 2023

Answer:

20 [tex]x^{4}[/tex] [tex]y^{6}[/tex]

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] ( 5 x³ [tex]y^{4}[/tex] )( 8 x y² ) = 20 [tex]x^{4}[/tex] [tex]y^{6}[/tex]

Answer:

7/8 > 3/4

Step-by-step explanation:

Make the denominators of both fractions the same by mulitplying the numerator (top number) and denominator (bottom number) of the fraction 3/4 by 2:

(3 x 2) / (4 x 2) = 6/8

Now compare 6/8 with 7/8 (the number line is divided into 8 equal parts. Shade 6 and then shade 7.  which is bigger?)

7/8 > 6/8

Therefore, 7/8 > 3/4

Answer:

7/8 > 3/4

Step-by-step explanation:

hope this help

                                                XD

Answer:

tn=a+(n-1)d

a=2

d=2 so

tn=2+(n-1)2

=2+2n-2

2n

Answer:

11/12

Step-by-step explanation:

the common denominator between 4 and 3 is 12 because it is the smallest shared factor. as for what cup they would use for 11/12 beats me lol

Answer:

the answer to the first one is 118 the value of x is 113

Step-by-step explanation:

SOMEONE DELETED MY ORIGINAL ANSWER

The two angles will be linear pairs if the sum is 180° therefore,linear pair of 62° is 118° so option [A] is correct.

The value of x in the figure is 113° so option [C] is correct.

The m∠EXD and m∠AXE are the supplementary angles so option (B) is correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

01)

Two angles will be linear pairs if their sum is 180°.

If the first angle is 62° then the second will be 180° - 62° = 118°

Hence "The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°".

02)

The angle x is in the same line with supplementary angle 67° so

x = 180 - 67 = 113°.

Hence "The value of x in the figure is 113°".

03)

In the figure, AXD is a straight line, therefore,

m∠EXD +  m∠AXE  = 180°

Since the sum of two angles is 180° then they are called supplementary angles.

Hence "The m∠EXD and m∠AXE are the supplementary angles".

For more about the angle,

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#SPJ5

Answer:

[tex]3x^4+4x^3+8x[/tex]

Step-by-step explanation:

[tex](x^2+2x)(3x^2-2x+4)\\\\(x^2)(3x^2)+(x^2)(-2x)+(x^2)(4)+(2x)(3x^2)+(2x)(-2x)+(2x)(4)\\\\3x^4-2x^3+4x^2+6x^3-4x^2+8x\\\\3x^4+4x^3+8x[/tex]

Answer:

Theater: Comedy 61% Drama 39% Home: Comedy 60% Drama 40%

Step-by-step explanation:

Theater: first add 57 and 36 to get the total amount, then do comedy/total, which is 57/93, when you divide this it equals 0.612. Multiply this by 100 and you get 61.2 %, repeat this formula for the rest: x or y/x+y x being one amount and y another amount. x+y is just the total amount. *If you don't care about how to do it look below*

Theater:

Comedy: 57/93 x 100=61%

Drama: 36/93 x 100=39%

Home:

Comedy: 78/131 x 100=60%

Drama: 53/131 x 100=40%

This totally might be late so you don't need it anymore, welp good luck anyway!

[:

Answer:

2/3

Step-by-step explanation:

2/3 = 4/6

Is 4/6 bigger than 3/6?

Yes.

2/3 is bigger than 3/6.

And also, if you convert 2 of the fractinos to decimals, 2/3 will be approximately 0.67 and 3/6 will be 0.5.

Is 0.67 bigger than 0.5?

Yes.

2/3 is greater than 3/6

The numbers are given as:

3/6 and 2/3

Express both numbers as decimals to two decimal places

0.50 and 0.67

By comparison, we have:

0.67 is greater than 0.50

This means that:

2/3 is greater than 3/6

Read more about fractions at:

https://brainly.com/question/11562149

Answer:

where in the world are you-? its 12:04 am-?!

Answer:

Step-by-step explanation:

2. Perpendicular lines form right angles.

3. A right angle has a measure of 90 degrees.

4. Angle addition postulate

5. Angles that add to form a right angle have a measure of 90 degrees.

7. Congruent angles have equal measure.

8. Substitution

9. Angles with measures that add to 90 deg are complementary.

Answer:

Y= 20

Z = 20

Step-by-step explanation:

Y:

cos(∠BAC) = [tex]\frac{AC}{AB}[/tex]

cos(45°) = [tex]\frac{y}{20\sqrt{2}}[/tex]

Y= 20

Z:

sin(∠BAC) = [tex]\frac{BC}{AB}[/tex]

sin(45°) = [tex]\frac{z}{20\sqrt{2}}[/tex]

z = 20

Answer:

try negative -4 it might be the answer

Answer:

the rate of change is for x it would be 2 and for y it would be 4.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

the answer is 0.25,0.5,1,2,2

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Ellis bought total 24 soda cans but in packs

Each pack contain 6 cans

Therefore,

Total packs bought by Ellis

[tex]\sf{ = }{\sf{\dfrac{ 24}{6}}}[/tex]

[tex]\sf{ = 4 \: packs }[/tex]

Ellis bought 4 packs of soda cans

So,

Total cost paid by the Ellis

[tex]\sf{ = 4 {\times}{\pounds} 1.80 }[/tex]

[tex]\sf{ = {\pounds}7.20 }[/tex]

Thus, The total cost paid by Ellis is £7.2

Connor also bought 24 cans of soda but in packs

Each pack contain 8 soda cans

Total packs bought by Connor

[tex]\sf{ = }{\sf{\dfrac{ 24}{8}}}[/tex]

[tex]\sf{ = 3 \: packs }[/tex]

Connor bought 3 packs of soda cans

So,

Total cost paid by the Connor

[tex]\sf{ = 3 {\times}{\pounds}2.10 }[/tex]

[tex]\sf{ = {\pounds}6.30 }[/tex]

Thus, The total cost paid by connor is £6.30

From Above we can conclude that,

That is,

Ellis had to pay more than connor by

[tex]\sf{ = 7.20 - 6.30 }[/tex]

[tex]\sf{ = {\pounds}0.90}[/tex]

Hence, Ellis paid more than connor by £0.90.

Answer:

yes because she depends on 15% of how much she sells and if she doesn't sell she won't have much money monthly with that plan 1 she would earn more. hope I helped.

Answer:

-12

Step-by-step explanation:

Let x be "the number."  

"Three times a number" means 3x

"is 24 less than the number" means = x-24

Put them togehter:

3x = x-24

2x = -24

x = -12

Check:  Is 3(-12) = 24 less than -12?  YES.

Answer:

Subtract 40 from both sides.

Full process:

4(n + 10) = 34

4n + 40 = 34

4n = -6

n = 1.5

Answer:

1 is 3 2 is 4 3 is 6 that is all I know

Step-by-step explanation:

i did it already

Answer:

Question 8:

2(12x+9y)

Question 9:

2(x+3)+2

Step-by-step explanation:

I hope this helps

Answer:

3²

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]  , [tex]a^{0}[/tex] = 1

given

[tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ [tex]3^{0}[/tex] )²

= [tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ 1 )²

= [tex]3^{-6}[/tex] × [tex](3^4)^{2}[/tex]

= [tex]3^{-6}[/tex] × [tex]3^{8}[/tex]

= [tex]3^{(-6+8)}[/tex]

= 3²

We have that what the bank account hold in 2017  is mathematically given as

T=179.986

Simple interest is a simple way of forecasting and having a view of futuristic values.

Question Parameters:

An account is gaining value at a rate of 4.94% per year.

The account held $113 in 2005.

What will the bank account hold in 2017?

Generally the equation for Simple interest   is mathematically given as

S=(P*R*T)/(100)

Therefore

S=(113*4.94*12)/(100)

S=$66.986

Therefore

after 12 years

T=113+66.986

T=179.986

For more information on Arithmetic visit

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Step-by-step explanation:

formula area of rectangle= 1/2 × h × b

area of the triangle

[tex] \frac{1}{2} \times 15 \times 8 = 60[/tex]

Answer: approx. 8.33 ounces

Step-by-step explanation: you are splitting 25 ounces between 3 people when we do 25 / 3. The decimal would continue at eight point three repeated. To round to the nearest hundredth the answer is 8.33 See picture.

Answer:

It would be like each get like a cup and a half

Step-by-step explanation:

Answer:

1. 1.25 or 1 1/4

2. 4.8 or 4 4/5

3. 15 and 5

4.D

5. 1 1/4

Answer:

1. 1.25 or 1 1/4

2. 4.8 or 4 4/5

3. 15 and 5

4.D

5. 1 1/4

Step-by-step explanation:

I am pretty sure this is it!