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brilliants [131]
3 years ago
11

What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?

Mathematics
2 answers:
adell [148]3 years ago
5 0
A. (3,2)

3(2x-y=4)
2x+3y=12

Than cross put the y’s

8x= 24

X= 3

Than substitute the x into one of the original equations

3•2 + 3y = 12
6+ 3y = 12
-6 -6

3y = 6
/3. /3

y= 2
krok68 [10]3 years ago
3 0

Step-by-step explanation:

2x+3y=12

2x- y =4

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

subtraction. 4y=8

y=2

putting the value of y=2

2x-y=4

2x-2=4

2x=6

x=3

(3,2)

option A

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3 ten thousands 2 thousands *10
Ad libitum [116K]

3 the thousands = 30.000

2 thousands = 2.000

*10 = times ten


30.000 + 2.000 times 10

32.000 * 10

320.000

3 0
2 years ago
Please help me it's urgent!
mamaluj [8]

Answer:

consistent system, independent system, independent system, inconsistent system

Step-by-step explanation:

1) A system of linear equation with at least one solution is a consistent system.

2) A system of linear equation with exactly one solution that is called independent system

3) A system of linear equations with an infinite number of solution is a dependent system

4) A system of linear equations with no solution is a inconsistent system

5 0
3 years ago
In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?
forsale [732]

Answer:

m∠HMO=102°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

(5x+6)\°=(1/2)(12x-6)\°

solve for x

10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9

<em>Find the measure of angle HMO</em>

m∠HMO=(12x-6)°

substitute the value of x

m∠HMO=(12(9)-6)=102°

see the attached figure to better understand the problem

5 0
3 years ago
25. John hired a plumber who charges a flat fee of $75 plus $55 per hour. The total charge
mestny [16]

Answer: 55x + 75 = 350; 5 hours

Step-by-step explanation:

What we know:

- A flat fee is $75

- John charges $55 an hour

- The total charge is $350

We need to write an equation to find how many hours John works.

<em>x </em>will represent hours worked.

55x + 75 = 350

We now need to solve for x.

Subtract 75 from both sides.

55x + 75 - 75 = 350 - 75

Simplify.

55x = 275

Divide 55 from both sides.

55x/55 = 275/55

Simplify.

x = 5

John worked 5 hours.

To check our work, we just plug in our x value!

55(5) + 75

275 + 75 = 350

3 0
2 years ago
PLEASE HELP PLEASE. Wrong answer is reported. Quickest and right answer is made brainiest!
sweet-ann [11.9K]
I think its the second one. So B. because its up 3 on the X-Axis and then the rest are wrong
8 0
3 years ago
Read 2 more answers
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