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Allisa [31]
3 years ago
15

Solve this with elimination please, 3x + 6y = 6

Mathematics
2 answers:
Dafna1 [17]3 years ago
8 0
Times 2nd equation by 2
add to first equation

3x+6y=6
<u>4x-6y=8 +</u>
7x+0y=14

7x=14
divide both sides by 7
x=2

sub back

2x-3y=4
2(2)-3y=4
4-3y=4
minus 4 both sideds
-3y=0
y=0


(x,y)
(2,0)
MA_775_DIABLO [31]3 years ago
6 0
(2,0) is the correct answer
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A woodworking artist makes two types of carvings: type X and type Y. He
ivolga24 [154]

Answer:

part C. 3x + 2y <u>< </u>30, 5x + 7y <u><</u> 105

Step-by-step explanation:

Part 1:

spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.

spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.

Part 2:

he can spend up to 30 hours each week making carvings. (<u><</u>30)-because he cannot spend more than 30 hours

Therefore, He has to spend 30 hours or less to make type X and type Y.

3x + 2y <u>< </u>30

Part 3:

His  materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.

His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.

Part 4:

he must keep his weekly cost for materials to $105 or less (<u><</u>105)-total cost cannot be more than $105.

Therefore, the total cost of making x and y should be $105 or less.

5x + 7y <u><</u> 105

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3 years ago
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6 0
3 years ago
Read 2 more answers
Write r=-8sec(theta) in rectangular form
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r=-8\sec\theta=-\dfrac8{\cos\theta}\implies r\cos\theta=-8

Converting from rectangular coordinates to polar coordinates involves setting (x,y)=(r\cos\theta,r\sin\theta). Since the left hand side matches x perfectly, the equation's rectangular coordinate form is x=-8.
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4 years ago
A car travels at an average speed of 50 km/h for 1.5 hours. How far did the car travel in km?
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Answer:

75 km

Step-by-step explanation:

(50km/h)(1.5h) =<em> 75km</em>

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