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Marta_Voda [28]
3 years ago
13

Solve the system of equations using the substitution method.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0
Multiply 3x +y =23 by -4

x+4y=4
-12x+(-4y)=-92

Add together

-11x = -88

x = 8

Plug x in to find y.

8 + 4y = 4

Subtract 8 from each sides

4y = -4

Divide by 4

y = -1

So the answer is x =8, y= -1

I hope that helps!
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r. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice a
ad-work [718]

Answer:

  • The equation 2n = p should be 2p = n.
  • The actual cost of the onions is $3.00 per pound.
  • Potatoes cost $1.50 per pound.

Step-by-step explanation:

The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

  2p = n

Then the solution is ...

  6p +3(2p) = 18

  12p = 18

  p = 18/12 = 1.50

  n = 2p = 2(1.50) = 3.00

__

The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.

5 0
3 years ago
In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of
larisa [96]
The answer would be:

Korea: 6

Italy: 7

France: 8

6, 7, 8 are consecutive numbers because they go in the order that you would count from 1-x(an infinite number) with.

I hope this helped! If you have further questions don't be afraid to ask!

~Travis
4 0
3 years ago
Read 2 more answers
Make non proportional equation for the tables
TEA [102]
Hahahahahhahahahahahhahhahahahahhahahahhahahahahahahhahahahahhahahahahahahahhahahahhahahahahhahahhahahahhahhahahhabbabaabbahahhahahahabahahhaabbahahahhahhababhahahhahabhahahhahahha thanks for the points !!!!!!
4 0
2 years ago
Indicate the equation of the given line in standard form.The line containing the median of the trapezoid whose vertices are R(-1
maxonik [38]
RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3

The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)

Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117
7 0
3 years ago
Center: (2,8), Radius: 3
Rzqust [24]

Answer:

I’m not sure what this question is asking, but I’ll write an equation of this circle you are describing. Here, the x coordinate of the center is h, the y coordinate is k, and radius is r in the equation : (x-h)^2+(y-k)^2=r^2, meaning the equation in this situation is the following: (x-2)^2+(y-8)^2=9

Step-by-step explanation:

5 0
3 years ago
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