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Yakvenalex [24]
3 years ago
14

2x+y=3 3x-y =17 use substitution

Mathematics
1 answer:
slava [35]3 years ago
4 0
X = 4
y = -5

2x+y = 3(number 1) and 3x-y = 17 (number 2)

Number 1 multiplied by 2 = 4x + 2y = 6 (equation 3)
Number 2 multiplied by 2 = 6x - 2y = 34 (equation 4)
Now we do equation 4 + equation 3. This leaves us with 10x and 0y = 40.
10x =40 so, x= 4.
Now we substitute this into the original equations.
8 + y = 3 and 12 - y =17.
We know that 12 + 5 = 17 and two negatives makes a positive so...
y = -5. 
Lets substitute to check:
8 + -5 = 3 (another way of saying 8-5 = 3) and 12 - -5 = 17 (another way of saying 12 + 5 = 17)
Hope this helps :)
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3 years ago
The height of a triangular sail is 2 meters less
galina1969 [7]

Answer:

Step-by-step explanation:

Area=1/2(bh)

b=x

height=2x-2, units meters

30=(1/2)bh

60=bh=x(2x-2)

2x^2-2x=60

2x^2-2x-60=0

x^2-x-30=0

(x-6)(x+5)=30

x=6 as only positive root.

2x-2=10

Their product is 60 m^2, half of which is 30 m^2

The base is 6 m; the height is 10 m.

6 0
4 years ago
Need help please !!
Mama L [17]
First find slope
(2-4)/(3+1) = -2/4 = -1/2
Use point (3,2)
y-y1 = m(x-x1)
Plug everything in
y-2 = -1/2(x-3)

Solution: A

8 0
3 years ago
Read 2 more answers
Ava's birthday cake is about 11 7/10 cm long. her candles stick up from the cake an additional 5 4/10 cm. what was the total hig
Virty [35]

Total height of the cake and the candles is 17.1 cm

Step-by-step explanation:

  • Step 1: Convert the mixed fractions into decimal expressions.

11 7/10 cm = 117/10 = 11.7 cm

5 4/10 cm = 54/10 = 5.4 cm

  • Step 2: Find total height of the cake and the candles

Total height = 11.7 + 5.4 = 17.1 cm

3 0
4 years ago
Read 2 more answers
A B C D E Confirm Supplies for last year cost $1,477, which was $177 over budget. Rounded to the nearest 1%, by what percent did
Paha777 [63]
It would be over 12% (11.98375085%)

Lets break it down:

You need to find what percent 177 is of 1,477.
To do this, you need to do 177÷1,477 to get 0.1198 and so on

(To find a percent from a decimal, you move the decimal point 2 places to the right)

If you find the percent, it would be 11.98 (and so on) percent. Rounded to the nearest 1%, it would be 12%

Hope this helps!
4 0
4 years ago
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