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lakkis [162]
3 years ago
13

Solve the system of equations

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

So we have the equations:

    y - 4x = 2 --- equation 1

   5y - 2x = 1 --- equation 2

(equation 2) * 2

  10y - 4x = 2 --- equation 3

 

(equation 2) - (equation 3)

 -9y = 0   so y= 0 and thus x = -1/2

Hope that helps!

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−4p+9=−5<br><br> Help a sister out plz
Lorico [155]

Answer: p=7/2=3.5

Step-by-step explanation:

Given

-4p+9=-5

Subtract 9 on both sides

-4p+9-9=-5-9

-4p=-14

Divide -4 on both sides

-4p/-4=-14/-4

p=7/2=3.5

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
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In order to prove △ABC ≅ △DBC by SAS, what additional information must be given?
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Two of the side lengths and one of the angles of both of the triangles. Hope this helps!
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4 years ago
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What 2 fractions are equal to 4/10
melisa1 [442]

Step-by-step explanation: To find 2 fractions that are equivalent to 4/10, we either multiply or divide the numerator and denominator by the same number.

Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2. So if we divide the numerator and the denominator by 2, we get 2/5 so 1 fraction equivalent to 4/10 is 2/5.

If we multiply both the numerator and denominator of 4/10 by 512, we get the equivalent fraction 2048/5120. So this is another equivalent fraction.

It's important to understand that you can choose any number you want to multiply by as long as you do it to both the top and bottom.

3 0
4 years ago
Mr. Javier purchased a number of pencils for ₱180 and sold all except 6 at a profit of ₱2 per pencil. With the total amount rece
Luba_88 [7]

Answer:

36 pencils

Cost = 0.2

Step-by-step explanation:

Given

Cost Price = 180

Represent the number of items by x

This implies that the cost of each item is \frac{x}{180}

Selling\ Price = Cost + Profit

Selling\ Price = \frac{x}{180} + 2

Since all but 6 items were sold, the total selling price is:

Total = (x - 6)(\frac{x}{180} + 2)

This amount can be used to buy 30 more items.

So, we have:

(x - 6)(\frac{x}{180} + 2) = x + 30

Multiply both sides by 180

180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)

(x - 6)(x + 360) = 180x + 5400

Expand brackets

x\² + 360x - 6x - 2160 = 180x + 5400

x\² + 354x - 2160 = 180x + 5400

Equate to 0

x\² + 354x - 180x - 2160 - 5400 = 0

x\² + 174x - 7560 = 0

Expand

x\² + 210x - 36x - 7560 = 0

x(x + 210) - 36(x + 210) = 0

(x - 36)(x + 210) = 0

x - 36 = 0 or x + 210 = 0

x = 36 or x = -210

<em>Since, number of items can't be negative, we have to discard x = -210.</em>

Hence:

x = 36

<em>We can then conclude that, Mr. Javier purchased 36 pencils</em>

Recall that

Cost = \frac{x}{180}

Cost = \frac{36}{180}

Cost = 0.2

5 0
4 years ago
Cassandra lives in Oklahoma and makes $60,000 a year. If the median annual income in Oklahoma is $64,105 and the median annual i
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Yes, Cassandra is likely to qualify, since her yearly income is below the median annual income of Oklahoma.</span>
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3 years ago
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