1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Monica [59]
1 year ago
11

I need help on solving these equations linear. Please helpppp

Mathematics
1 answer:
goldenfox [79]1 year ago
8 0

The solution of the first set of equations is x = 15 and y = 5 and the second is x = 14.25 and y = 7.75.

<h3>What is the equation?</h3>

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

a)

As per the given first system of equation,

2x - 4y = 10

x + 5y = 40 → 2x + 10y = 80

Subtract both

10y + 4y = 80 - 10

14y = 70

y = 5

And, x = 40 - 5(5) = 15

b)

As per the given first system of equation,

3x - 5y = 4 and

-2x + 6y = 18 → -x + 3y = 9 → -3x + 9y = 27

Add both

-5y + 9y = 4 + 27

4y = 31

y = 7.75

x = (4 + 5(7.75))/3 = 14.25

Hence "The solution of the first set of equations is x = 15 and y = 5 and the second is x = 14.25 and y = 7.75".

For more about the equation,

brainly.com/question/10413253

#SPJ1

You might be interested in
Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
Leya [2.2K]
5 oz. Hope this helped!
5 0
3 years ago
Solve for <br> 3x + 12= -12
oee [108]

Answer:

x = -8

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides:

3x + 12 (-12) = -12 (-12)

3x = -12 - 12

3x = -24

Next, divide 3 from both sides:

(3x)/3 = (-24)/3

x = -24/3

x = -8

x = -8 is your answer.

~

4 0
3 years ago
Read 2 more answers
The line segment formed by joining points A (-1,y) B (0,0), and the line segment joined by forming points C (6,3) D (8,9) share
Airida [17]

Answer:

<h3>-3</h3>

Step-by-step explanation:

For two parallel lines. their slope are equal

Find the slope of each of the lines

For line A;

m = 0 -y/0+1

mA = -y/1

For line B;

mB = 9 - 3/8 - 6

mB = 6/2

mB = 3

since their slope are equal hence mA = mB

-y/1 = 3

-y = 3

y = -3

Hence the value of y is -3

8 0
3 years ago
Please help. I added a picture.
tangare [24]

its the 3rd answer i think

3 0
3 years ago
Read 2 more answers
Can someone please help!!!
RideAnS [48]

Answers:

  • System 1:  x = 3 and y = -5
  • System 2: x = 1 and y = 2

==========================================================

Explanation:

For now, let's focus on system 1.

We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.

  • The x terms subtract to 7x-x = 6x
  • The y terms subtract to 0 and go away
  • The right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18

After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.

Once we know x, we can find out y.

7x+2y = 11

7(3)+2y = 11

21+2y = 11

2y = 11-21

2y = -10

y = -10/2

y = -5

or we can say

x+2y = -7

3+2y = -7

2y = -7-3

2y = -10

y = -10/2

y = -5

We should lead to the same y value either way. This helps confirm we have the correct x value.

Overall, the solution to system 1 is (x,y) = (3, -5)

----------------------------

Now onto system 2.

Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.

The new equivalent system is

\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}

Now we have the same situation as before: Subtract straight down, solve for x.

  • The x terms subtract to 7x-(-2x) = 7x+2x = 9x
  • The y terms go away when subtracting
  • The right hand sides subtract to 11-2 = 9

So we have 9x = 9 and that solves to x = 1.

We'll use this x to find the y value.

7x+2y = 11

7(1)+2y = 11

7+2y = 11

2y = 11-7

2y = 4

y = 4/2

y = 2

Or you could pick on the second equation

-x+y = 1

-1+y = 1

y = 1+1

y = 2

6 0
2 years ago
Other questions:
  • What is the simplest form of this expression? (2x-3)(3x^2+2x-1)
    13·1 answer
  • Please help me
    7·2 answers
  • Which number line can be used to find the distance between (-1, 2) and (-5, 2)
    8·2 answers
  • AWNSER FOR 99 POINTS!What is the volume of the pyramid? A. 2470 cm3 B. 4940 cm3 C. 7410 cm3 D. 14,820 cm3
    13·2 answers
  • What is the measure of A 54°<br> D. 66°<br> B. 56°<br> E. 114°<br> C. 58°
    12·2 answers
  • The sum of -32+(-17)+42
    5·2 answers
  • How many books were read in all? <br>A. 150 <br>B.156 <br>C. 158 <br>D. 160 <br>E. 162​
    5·2 answers
  • PLEASE HELP!!!!!!!!!!!!!!!!!!
    7·1 answer
  • the home plate in baseball which is a Pentagon has three right angle. the other two angles are equal. find the measure of each m
    6·1 answer
  • The length of a rectangular piece of cardboard is 2 cm greater than its width. If the length and the width were each decreased b
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!