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
tangare [24]
3 years ago
11

What is the solution of the system?

Mathematics
1 answer:
Kryger [21]3 years ago
7 0
Greetings!

Solve the System, using Elimination:
\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.

Multiply Equation #2 by 2:
\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.

\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.

Eliminate variable x:
-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}

4y=-12

Divide both sides by 4:
\frac{4y}{4}= \frac{12}{4}

y=3

Input this value into one of the Equations: 
4x+2y=18

4x+2(3)=18

Simplify:
4x+6=18

(4x+6)+(-6)=(18)+(-6)

4x=12

Divide both sides by 4.
\frac{4x}{4}= \frac{12}{4}

x=3

The Solution to this System (The Point of Intersection):
\boxed{(3,3)}

I hope this helped!
-Benjamin
You might be interested in
The point (6, 7) is reflected across the y axis. what are the coordinates of the reflection
aev [14]

Answer:

Hello!!

the point (6, 7) is reflected across the y axis. what are the coordinates of the reflection?

(-6, 7)

Step by Step Explanation:

When reflecting (x, y) over the x axis is (x, -y)

When reflecting (x, y) over the y axis is (-x, y)

Hope this helps!

7 0
2 years ago
Read 2 more answers
The solution to the system is (6,2) Select all the equations that could be the other equation in the system. PLZ HELPPPPPP there
Dovator [93]

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The attached graph shows which lines go through the given point. They are ...

  y = 1/2x -1 . . . . 1st selection

  y = -1/6x +3 . . . 3rd selection

__

The equations can be found algebraically by substituting the given point in the equation and seeing if the result is a true statement.

  a) 2 = (1/2)(6) -1 = 3 -1 . . . true

  b) 2 = -3(6) . . . . false

  c) 2 = -1/6(6) +3 = -1 +3 . . . true

  d) 2 = 2/3(6) -1 = 4 -1 . . . . false

  e) 2 = 4(6) -2 = 24 -2 . . . . false

  f) 2 = -3/2(6) +6 = -9 +6 . . . . false

6 0
2 years ago
6th grade math help me plzzz
Brut [27]

Answer:

a summary is an average and an average is mean

Step-by-step explanation:

to get the mean add all the cakes sold together then divide by number of years

21+28+19+26+21=115

115/5=23

so....

first one: mean

second one: 23

7 0
3 years ago
Read 2 more answers
0.06 + 2 =
AysviL [449]

Answer:

1.) 2.06

2.) 0.43

3.) 0.52

4.) 5.06

5.) 0.51

6.) 4.2

7.) 2.02

8.) 0.7

9.) 0.6

10.) 3.05

11.) 1.3

12.) 0.2

13.) 0.5

14.) 0.4

15.) 0.02

16.) 0.07

17.) 6.01

18.) 3.2

19.) 0.53

20.) 1.2

Step-by-step explanation:

Simple addition with decimals. If you have a whole number like 5, with a decimal like 0.07, 5+0.07 would be 5.07. 5 would take the spot of 0 in the ones place and .07 would remain. If you have 0.10+0.8, it would be 0.9 as your answer since we make 0.8 to 0.80 or 0.10 to 0.1 and add the two together. Hope this helped!

3 0
2 years ago
Help? I'm not exactly sure how to do this :/
uranmaximum [27]
What you do is plug the z value (first column) into the formula (second column), and solve for y. For instance, the first one would be y = -1-2, or -3. The x would be the x in the ordered pair, and the final ordered pair would be (-1,-3). Make sense?
6 0
2 years ago
Other questions:
  • We have 4 3/4 pounds of apples in each bag. If we have 4 bags, how many pounds of Apple do we have in all? Explain
    10·1 answer
  • What is nine hundred seven thousands in decimal srandard form<br><br><br>​
    10·2 answers
  • Write the ratio 42 inches to 9 feet as an fraction
    14·2 answers
  • What is the area of this figure?<br><br><br><br> Enter your answer in the box.
    12·2 answers
  • At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 35 km/h. How fast is
    6·1 answer
  • Given the Arithmetic sequence A1,A2,A3,A4 28, 33, 38, 43 What is the value of A11?
    10·2 answers
  • I need this answer today pls it is important pls help me out i will give you a crown and good ratings if you get it write
    11·2 answers
  • Quadrilateral ABCD is translated to get quadrilateral A′B′C′D′. Vertex A is at (-5, 2), and vertex A′ is at (2, -2).
    5·1 answer
  • On a hiking trail​ map, the distance from mountain peak A to mountain peak B is 12.3 inches. The actual distance is about​ 1,000
    11·1 answer
  • PLZ HURRY
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!