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
AlladinOne [14]
3 years ago
14

2x+3y=15 X+y=6 Simultaneously equations

Mathematics
2 answers:
Lerok [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=15;x+y=6

Rewrite equations:

x+y=6;2x+3y=15

Step: Solvex+y=6for x:

x+y=6

x+y+−y=6+−y(Add -y to both sides)

x=−y+6

Step: Substitute−y+6forxin2x+3y=15:

2x+3y=15

2(−y+6)+3y=15

y+12=15(Simplify both sides of the equation)

y+12+−12=15+−12(Add -12 to both sides)

y=3

Step: Substitute3foryinx=−y+6:

x=−y+6

x=−3+6

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=3

nydimaria [60]3 years ago
6 0

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

2x + 3y = 15 → (1)

x + y = 6 → (2)

Multiplying 2) by - 2 and adding to (1) will eliminate x

- 2x - 2y = - 6 → (3)

Add (1) and (3) term by term to eliminate x

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(3) = 15

2x + 9 = 15 ( subtract 9 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

You might be interested in
Consider the system of equations.
anzhelika [568]

Answer: You can multiply the top equation by -1 to eliminate the x variable.

And the solution is (2,4/3)  in case you need it.

Step-by-step explanation:

2x + 3y = 8

2x + 6y = 12

If you multiply the upper equation or down equation by one, you will be able to eliminate the x variable.

-1( 2x + 3y) = -1(8)     New equation:   -2x -3y  = -8.

Add the new equation you got  by multiplying the top equation by -1 to the bottom equation.

Add them:     -2x -3y = -8

                      2x + 6y = 12  

                               3y = 4  

                              y = 4/3

You can now input the value for y into the one of the equations and solve for x.

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

-2x -4 = -8  

     +4     +4

-2x = -4

x = 2

8 0
3 years ago
Which of the following sentences is true? 30.744 is greater than 30.844. 9.542 is greater than 9.532. 182.348 is less than 182.3
Arturiano [62]

Answer:

the first sentance is wrong, the second one is right, the third one is right and the last one is wrong

Step-by-step explanation:

5 0
3 years ago
Write yhe fraction with the greastest value 2/8, 1/8, 2/4, 2/6
Eddi Din [679]
2/4 is the fraction with the greatest value...
6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=1%20%2B%201" id="TexFormula1" title="1 + 1" alt="1 + 1" align="absmiddle" class="latex-formula
marshall27 [118]

Answer:

2 and 3.

Step-by-step explanation:

1 + 1

Factor out.

2(1)

Multiply.

= 2

1 + 2

Add the terms.

= 3

8 0
2 years ago
In the diagram at the left, O is the center of the circle, MNOP is a rectangle, and the area of the circle is 100π. What is the
RUDIKE [14]

The length of the diagonal of the rectangle will be 14.142 units.

<h3>What exactly is a rectangle?</h3>

It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.

Rectangle diagonals are equally equal and meet at the midpoint.

O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.

Area of circle=πr²

100 π= πr²

r= 10 units

The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2  times the side of the rectangle;

L=√2 R

L=1.414×10

L=14.14

Hence the length of the diagonal of the rectangle will be 14.142 units.

To learn more about the rectangle,  refer to the link brainly.com/question/13747846.

#SPJ1

4 0
2 years ago
Other questions:
  • Hi! I need help on #12 A, and B! Just kinda confused so if u could explain in a simple way that’d be great!
    7·2 answers
  • You discover that every month that you make a loan payment on time, your credit score goes up 3 points. you want to raise your s
    8·1 answer
  • Ariel wants to write 8 entries for her blog. After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left. Which
    7·2 answers
  • Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies tha
    7·1 answer
  • If you drive 300 miles and do 70 per hour how much minutes does it take​
    15·1 answer
  • Please help.<br>Algebra 1 FLVS.​
    10·1 answer
  • What is the input value for which g(x) = -2?<br><br><br> x = ?
    11·1 answer
  • Given that the slope is -4 and the y intercept is -4 what is the equation of the line?​
    8·1 answer
  • A​ quality-control manager randomly selects 80 bottles of oil that were filled on january 14 to assess the calibration of the fi
    7·1 answer
  • The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 are the sides of a right triangle. Find the perimeter and area of the triang
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!