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Sphinxa [80]
3 years ago
13

What is the solution to the system of equations? Use the substitution method to solve the system of equations. Show all of your

work! Y = x + 5 4x ? 4y = ?20
Mathematics
1 answer:
Luden [163]3 years ago
5 0

Answer:

The solution would be (0, 5)

Step-by-step explanation:

In order to solve this system by substitution, simply take the value of y in the first equation and use it in place of y in the second. This will allow you to solve for x.

4x + 4y = 20

4x + 4(x + 5) = 20

4x + 4x + 20 = 20

8x + 20 = 20

8x = 0

x = 0

Now that we have the value of x, we can find the value of y.

y = x + 5

y = 0 + 5

y = 5

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Last week, Leon bought 8 pizzas and 13 cakes
romanna [79]
P = pizza and c =cakes

Last week: 8p + 13c = 134
Today: 28p + 4c = 220

Let’s take the formula for today and subtract 28p from each side to isolate the 4c.

4c = 220 - 28p

Now divide each side by 4

c = (220 - 28p)/4
Simplify to c = 55 - 7p

Now go to the formula for last week, substitute the c for 55-7p

8p + 13(55 - 7p) = 134
8p + 715 - 91p = 134

Simplify to 715 - 83p = 134

Let’s add 83p to each side.

715 = 134 + 83p

Subtract 134 from each side

581 = 83p

Divide each side by 83

p = $7
5 0
2 years ago
Help quick ! a.B.C.D ??
Alexeev081 [22]
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6 0
3 years ago
You need a 50% solution. On hand, you have a 200 mL of a 35% alcohol mixture. You also have 70% alcohol mixture. How much of the
CaHeK987 [17]

Answer:

150 mL

Step-by-step explanation:

We need a mixture that is at 50%, now we have 200 mL at 35% and another mixture that is at 70%, that is, we must calculate how much of this mixture is added, by the following equation

200 * 35% + x * 70% = 50% (x + 200)

70 + 0.7 * x = 0.5 * x + 100

0.7 * x - 0.5 * x = 100 - 70

0.2 * x = 30

x = 30 / 0.2

x = 150

150 mL must be added so that the mixture is 50%.

6 0
2 years ago
The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perime
Dennis_Churaev [7]
Pretty sure it’s the second option because length would be 3w+2
and width would be w+1 and with area you have to multiply so it would just be the (w+1)(3w+2)
5 0
2 years ago
Read 2 more answers
Por favor responder a esta pregunta
ahrayia [7]
Por determinante:
5...1...1
1...0...1 = 0 --> se o determinante for igual a 0, os pontos estarão alinhados.
3...3...1

calculando: (5 x 0 x 1 + 1 x 1 x 3 + 1 x 3 x 1) - (1 x 0 x 3 + 1 x 1 x 1 + 3 x 1 x 5) = 
0 + 3 + 3 - 0 - 1 - 15 = 
6 - 1 - 15 = 
5 - 15 = - 10 --> como não deu zero, os pontos não estão alinhados.
4 0
3 years ago
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