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laila [671]
1 year ago
9

F10) How many Solutions Does this System Have? y=2X y = -x + 2

Mathematics
2 answers:
riadik2000 [5.3K]1 year ago
6 0

Answer:

only one at x = 2/3 y = 1 1/3

Step-by-step explanation:

At the same solution point Y = Y so

2x = -x + 2

3x = 2

x = 2/3

Katarina [22]1 year ago
4 0

Answer:

See below.

Step-by-step explanation:

<u>Problem:</u>

Solve y=2x;y=−x+2

<u />

<u>Steps:</u>

I will solve your system by substitution.

y=2x;y=−x+2

Step: Solve y=2 x for y:

Step: Substitute 2x for y in y=−x+2:

y=−x+2

2x=−x+2

2x+x=−x+2+x(Add x to both sides)

3x=2

3x/3 = 2/3 (Divide both sides by 3)

x=2/3

Step: Substitute 2/3 for x in y = 2x

y=2x

y = 2(2/3)

y = 4/3 (Simplify both sides of the equation)

<u>Answer:</u>

x = 2/3 and y = 4/3

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prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.
Vlad1618 [11]

Answer:

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

Step-by-step explanation:

3 x 5 x 2 = 30


30 x 10 = 300

Ans = 300 cubic centimeters

4 0
1 year ago
Will you help me?
Volgvan

Answer:

The length side of the original square banner was 9 ft

Step-by-step explanation:

Let

x-----> the length side of the original square banner

we know that

The new area of the banner is equal to

91=(x+4)(x-2)

Solve for x

91=(x+4)(x-2)\\ \\91=x^{2}-2x+4x-8\\ \\x^{2}+2x-99=0

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8 0
3 years ago
A’s DJ service charges a $200 setup fee and $75 an hour after that.
Bogdan [553]

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

y=200+75x .... (1)

Let Y represent the cost for B's DJ service.

y=125x .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

125x= 200+75x

125x-75x=200

50x=200

x=4

y=125\times 4 =500

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

-y = -125x.... Equation (3).

Add euation (1) and equation (3)

y+(-y) = 200+75x-125x

0=200-50x

50x=200, x=4

y=500

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

y=200+(75\times 2) = 350

For x = 2, equation (2)

y= 125\times 2 =250

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

y=200+(75\times 6) =650

For x= 6, equation (2)

y=125\times 6=750

For 6 hours, DJ A would be  better option since it charges $650 for 6 hours.



8 0
3 years ago
28,22,16,10... sequence
ElenaW [278]
It’s going down in 6’s


4, -2, -8
6 0
3 years ago
Read 2 more answers
Help PLZ!!!
Klio2033 [76]

Answer:

36-2n<1/3n+15

Step-by-step explanation:

There are multiple solutions. One solution is 30. Because 30 times 2 is 60 and 36-60 is less than 1/3 of 30 (10) plus 15.

7 0
3 years ago
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