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
mart [117]
3 years ago
13

A system of equations is graphed on a coordinate plane.

Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0

Answer:

Option C is correct.

(1, 4)

Step-by-step explanation:

A system of equation is given :

2x + 3y =12                 .....[1]

4x + 2y =10                 .....[2]

Multiply equation [1] by 2 both sides we get;

2(2x+3y) = 2(12)

Using distributive property i,e a \cdot(b+c) = a\cdot b+ a\cdot c

4x + 6y = 24                           .....[3]

Subtract equation [2] from [3] to eliminate x we get;

4x + 6y - 4x - 2y= 24 - 10

Combine like terms;

4y = 14

Divide both sides by 4 we get;

y = 3.5

Substitute the value of y in equation [1] we have;

2x + 3(3.5) =12

2x + 10.5 = 12

or

2x = 12 -10.5

2x = 1.5

Divide both sides by 2 we get;

x = 0.75

Solution = (0.75 , 3.5)

Best estimate solution =  (1, 4)

Therefore, the best estimate solution of the given system of equation is, (1, 4)

You might be interested in
What is the perimeter of 16cm 25cm
Cloud [144]
Im guessing this is a rectangle? If so it would be
16+16+25+25
32+50
82 is the perimeter
4 0
3 years ago
Read 2 more answers
A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located
makkiz [27]
The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9)<span>:
</span>d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93

Distance 3: Los Angeles (–33, –4) to <span>San Francisco (–36, 5)
</span>d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49
<span>
D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05</span>
3 0
3 years ago
Solve: (a)(9a + 4) = 0.
Monica [59]

Answer:

a = -4/9

Step-by-step explanation:

(9a + 4) = 0

Subtract 4 from each side

9a + 4-4 = 0-4

9a = -4

Divide each side by 9

9a/9 = -4/9

a = -4/9

4 0
3 years ago
Read 2 more answers
Find the equation of line
Elza [17]

Answer:

y= -1/3x+5

Step-by-step explanation:

-1/3 is the slope (rise/run)

5 is the y-intercept

3 0
3 years ago
7)<br> Which could be solved for x?<br> 2x+ 2<br> B)<br> 3(x+2)<br> 3x+4<br> 3x=12<br> D
dem82 [27]

Answer:

3x=12

Step-by-step explanation:

x=12/3 => x=4

8 0
3 years ago
Other questions:
  • What two numbers can be multiplied to get negative 14 but also add to get positive 5
    14·1 answer
  • Can someone please help with this?
    10·1 answer
  • 2. What is 7.5% in decimal notation?​
    10·1 answer
  • By which rule are these triangles congruent?
    12·2 answers
  • With the given information, write the equation for the line in slope intercept form. (-2, 1) (2, -2)
    5·1 answer
  • Evan and Marshall are having a debate. Evan contends that the pantheon is larger than the pantheon in terms of area. Marshall co
    12·2 answers
  • Check the Screenshot
    9·2 answers
  • What is the mode of the following set of data? 24, 31, 12, 38, 12, 15
    9·1 answer
  • Which Is Greater 4% or 40<br>step by step explanation <br>​
    6·1 answer
  • Please Help. ------------------------------------------------------
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!