Solve:
x + y = 7
3x - 2y = 11

By using Substituting method.​

Answers

Answer 1

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\sf \longmapsto x + y = 7 \: \: - - - (i)[/tex]

[tex]\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)[/tex]

By first equation,

[tex]\sf \longmapsto x + y = 7[/tex]

[tex]\sf \longmapsto x = 7 - y[/tex]

Now, we can find the original value of y.

[tex]\sf \longmapsto 3x - 2y = 11[/tex]

[tex]\sf \longmapsto 3(7 - y) - 2y = 11[/tex]

[tex]\sf \longmapsto 21 - 3y - 2y = 11[/tex]

[tex]\sf \longmapsto 21 - 5y = 11[/tex]

[tex]\sf \longmapsto - 5y = 11 - 21[/tex]

[tex]\sf \longmapsto - 5y = - 10[/tex]

[tex]\sf \longmapsto y = \dfrac{ - 10}{ - 5} [/tex]

[tex]\sf \longmapsto y = 2[/tex]

Now, we can find the original value of x.

[tex]\sf \longmapsto x + y = 7[/tex]

[tex]\sf \longmapsto x + 2 = 7[/tex]

[tex]\sf \longmapsto x = 7 - 2[/tex]

[tex]\sf \longmapsto x = 5[/tex]

Therefore, the values of x and y are 5 and 2 respectively.


Related Questions

Which inequality represents the sentence?

The difference of seven and two tenths and a number is more than twenty nine.
7.2 - n > 29
n - 7.2 Greater-than-or-equal-to 29
7.2 - n < 29
n - 7.2 < 29

Answers

Answer:

The difference of seven and two tenths and a number is more than twenty nine.

7.2 -n >29

Choice A

Step-by-step explanation:

2.5+x =81−8.1 find x

Answers

The answer is x=70.4

Answer:

[tex] \sf \: x = 70.4[/tex]

Step-by-step explanation:

Given equation,

→ 2.5 + x = 81 - 8.1

Now the value of x will be,

→ 2.5 + x = 81 - 8.1

→ 2.5 + x = 72.9

→ x = 72.9 - 2.5

→ [ x = 70.4 ]

Hence, value of x is 70.4.

HELPPPPP!!!

Which of the following inequalities matches the graph? у 10 8. 6 4 4. GV 2 HE x HHHHHHHHHHOHHHHHHHHH 4 6 -10 -8 -6 -4 -2.7 2 -2 I -4 -6 -8 1 -- 10 OxZ-7 Ox=-7 Oy=-7 Oy -7​

Answers

Answer:

I think the first one is correct.

The inequality represent the given graph is y≤7 . Therefore, option B is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

From the given graph, the line passes through (0, -7)

In the given graph the inequality is y≤7

Therefore, option B is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ7

HEY THERE!! CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+38POINTS

Thanks xx)​

Answers

Answer:

Answers - d and e

Step-by-step explanation:

A surd is basically an irrational number, or a number that is not a whole number. (Surd examples - 1.2938, 5.3108)

The square root of 15 is between 3 and 4 (not a whole number) and the square root of 30 is between 5 and 6 (not a whole number)

hope this helps

Answer:

Claiming points again since all these answers are right, thank you yet again.

Step-by-step explanation:

⏁⊑⏃⋏☍ ⊬⍜⎍ ⎎⍜⍀ ⏁⊑⟒ ⌿⍜⟟⋏⏁⌇ ⎅⟒⏃⍀ ⎎⍀⟟⟒⋏⎅, ⟟ ⏃⋔ ⎎⍜⍀⟒⎐⟒⍀ ⟟⋏ ⊬⍜⎍⍀ ⎅⟒⏚⏁.

Solve the equation. Explain each step and identify the property used to reach each step.

0
.
6
x

+

0
.
8

=

1
.
4

Answers

To isolate x, we will first subtract 0.8 from both sides.

0.6x + 0.8 = 1.4

-0.8 -0.8

0.6x = 0.6

Now all we have to do is divide both sides by 0.6, because it is the number besides x.

0.6x/0.6 = 0.6/0.6

x = 1

So you get the answer of x = 1.

please help I will make Brainliest if correct (show working)​

Answers

Answer:

Hi

Step-by-step explanation:

I don't know bec we didn't learn this.. So.. Sorry

Answer:

52

Step-by-step explanation:

6+2+6=14

14*3=42

2*5(the five wasn't in the question but it's on the picture sooooo yeah)=10

42+10=52

Drag the numbers to order them from least to greatest 2/5,4/9,5/7

Answers

Answer:

2/5,4/9,5/7

Step-by-step explanation:

2/5 = 0.4

4/9 = 0.444444444

5/7 = 0.714285

8/3×(−2 1/2) find the product

Answers

Step-by-step explanation:

8/3 × -5/2 = -20/3

that is the answer

Which tenths is 8.275 between

Answers

Answer:

8.3

Step-by-step explanation:

Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y = 80 represents the number of children (x) and adults (y) who can see the movie with $80.
If no adults see the movie, how many children can see the movie with $80?

Answers

Answer:

40

Step-by-step explanation:

Answer:

44444444444444444444

The annual average rainfall in new york is 50 ⅕ inches
Per year. Write this fraction as a decimal. HELPPP

Answers

50.2 should be the anwser i doubled checked with search

and it says it is correct so it should be good.

Step-by-step explanation:

math

0.02349 in standard form to 3 significant figure is?​

Answers

Answer:

I believe that would be 0.0235. I hope this helps you! :)

Answer:

0.0235

Step-by-step explanation:

dfrac{2349}{100000}

Round to the required significant figure: 0.0235

Which of the following is an example of a set of like terms? *

17y, 17, y
15x, -x, 33x
18, 21g, 24
-5x, -5xy, -5y

Answers

15x, -x, 33x
this is the correct answer because the numbers all have the same variable at the end

PLEASE DUE IN 17 MINUTES

Answers

Answer:

No the lines are not perpendicular

Step-by-step explanation:

Slopes are not perpendicular reciprocals

They are perpendicular

The slopes of two perpendicular lines is when the two lines are negative reciprocals of each other.

Slope of a:

1 - -3
_____ = 4/10
5 - -5


Slope of b:
-6 - 4
_____ = -10/4
2 - -2

So yes.

Find the value of x, and please explain how you got x

Answers

x equals to 48

The work is shown in the picture. I hope this helps.

how to use union in the real world?​

Answers

Answer:

To overcome such type of real world problems we use union. Unlike structures union occupies single memory location to store all its members. So, unions are helpful when you want to store value in single member from a set of members. Size of union is defined according to size of largest member data type.

Step-by-step explanation:

In union, all members share the same memory location. For example in the following C program, both x and y share the same location. If we change x, we can see the changes being reflected in y. #include <stdio.h> // Declaration of union is same as structures.

Marty says he would rather have –$5 than $0. Do you agree with Marty? Explain.​

Answers

Answer:

No I don't agree with Marty because when or if I get more money I have to give it to the bank so lets say I earned 15 dollars I would have to give five to the bank because I owe the them but if Ii have 0 dollars I don't owe the bank money I get all the 15 dollars.

Step-by-step explanation:

Answer/Step-by-step explanation:

I disagree with Marty because If Marty would have -$5 it would mean he owns that person $5. If you don't have money you don't owe anything.  If Marty would have -$5 it would mean he owns that person $5. If you don't have money you don't owe anything.

What is the answer to 2 and 3?

Answers

Answer:

p = -10

shortest side (a) = 5

longest side (b) = 12

Step-by-step explanation:

QUESTION 2: Solve for p by isolating the variable.

3/4 p - 1/4 p + 3 = -2  ----- subtract 3 from both sides

3/4 p - 1/4 p = -5  

2/4 p = -5  ----- simplify 2/4

1/2 p = -5  ------ multiply 2 on both sides

p = -10

QUESTION 3:

Perimeter of a triangle = a + b + c

a = x

b = 3x - 3

c = 2x

x + 2x + 3x - 3 = 27 cm  ------ combine like terms

6x - 3 = 27   ----- add 3 on both sides

6x = 30

x =5   ------- substitute 5 everywhere you see "x" for the side values

side a = x = 5

side b = 3x - 3 = 3(5) - 3 = 12

side c = 2x = 2(5) = 10

shortest side (a) = 5

longest side (b) = 12

Answer:

Answer to question 2:

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]

[tex]Simplify\\[/tex]

[tex]2p=-20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]

[tex]p=-10[/tex]

_____________________________________

Answer to question 3

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

Sum of all sides of the ∆ = Perimeter

Solve for x

Collect like terms

Add 3 to both sides

Divide both sides by 6

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

127% of 1958?
there's nothing else for the question so I'm just typing out this lol

Answers

127/100 multiply with 1958. Punch oh in calculator, you will definitely get the answer.
Hope it helps!

If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?

Answers

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

-19  -19

3m-19=-n      Divide everything by -1 to make n positive.

/-1        /-1

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        -95 -95

-13m=-65                    Divide both sides by -13.

/-13    /-13

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

What is the missing angle

Answers

55°

Step-by-step explanation:

110+15+x =180

x = 180 - 125

x = 55°

Answer:

Step-by-step explanation:

maths help me form 1 maths ​

Answers

Answer:

(i. -15<-9)

II. is -3^2 is > then 2^3

Answer:

1 = <

2= >

Step-by-step explanation:

If a train travels 420 miles in 24 hours, what is its unit rate of travel?

16 mph

19.5 mph

17.5 mph

15.2 mph​

Answers

17.5mph

420÷24= 175

Hope this helped you- have a good day bro cya)

Answer:

17.5mph

Step-by-step explanation:

Write the slope intercept form of the equation given the slope of 4 and the y intercept
of (0,-2)

Answers

Answer:

y=4x-2

Step-by-step explanation:

m=4

put what numbers you know into the equation for b.

-2=4(0)+b

-2=0+b

-2=b

now put that into the equation

y=4x-2

What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the nearest tenths of a cubic inch?

Answers

Answer: In ^3

Step-by-step explanation: V = (1/2) (4/3) π(d/2^3

Plug in  

d = 56.7 in

and get V in units of in^3.

938 e vause you plug in rounded

Brainliet ko maka sagot​

Answers

Answer:

first multiply 3 with −8 and we get − 24

then find two numbers that if we add or subtract we get + 10 and if we multiply we get − 24

and the numbers are + 12 and −2

then we place those numbers as follow :-

3x²+12x−2x−8

then we group them

(3x2+12x)(−2x−8)

now take the common factor out.

3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

And that is the answer:

Proper Solution:-

1.) 3x2+10x−8

2.) 3x2+12x−2x−8

3.) (3x2+12x)(−2x−8)

4.) 3x(x+4)−2(x+4)

5.) (3x−2)(x+4)

What is the common difference in the sequence?

Answers

The common difference is the amount between each number in an arithmetic sequence.

For example, the sequence 4,7,10,13,... has a common difference of 3.

HELP!! Please!! Complete the equation describing how
x and y are related.

Answers

y=2x. if x and y are related.

guys pls help me!!!!!

Answers

Answer:

12 degrees

Step-by-step explanation:

it would be about 30 or 210

Please help!!!!!! :(

Answers

Answer:

Yes, it is linear

3x+y=15

Explanation:

Put the variables on opposite sides so that you have:

[tex]\frac{y}{3}[/tex]=5-x

Multiply by 3 on both sides

y=15-3x

Bring x back to y's side

3x+y=15

All done!

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