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Tatiana [17]
3 years ago
15

Solve the following system of equations

Mathematics
1 answer:
Mila [183]3 years ago
6 0

Answer:

y= 28/17

x= 57/17

Step-by-step explanation:

5x + 2y = 22

-2x + 6y = 3

(2)(5x + 2y = 22)→ 10x + 4y = 44

(5)(-2x + 6y = 3)→ -10x +30y = 15

Add this last eq → 34y=56 → y= 28/17

Replace this in any equation

-2x + 6(28/17) = 3 →  x= - (54/17-168/17)/2 =  57/17

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Two numbers whose sum is 29 and their difference is 15
n200080 [17]

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

6 0
2 years ago
Reiki has 3/4 of a gallon of milk. She drinks one-third of the milk. How much milk does she drink?
hammer [34]
It should be 1/4 because one third of three fourths is one fourth. I hope this helps!
4 0
3 years ago
Read 2 more answers
Plz help<br> and explain
vovikov84 [41]
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.

The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
=(x+10)^2-x^2    [recall (a+b)^2=a^2+2ab+b^2
=x^2+20x+100-x^2
=20x+100   or 20(x+5)  if you wish.

8 0
3 years ago
Help me please this is due today
matrenka [14]

Answer:

LCM = 20, GCF = 9

Step-by-step explanation:

4 0
2 years ago
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Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account t
wolverine [178]

Answer:

10 number of checks.

Cost = $6

Step-by-step explanation:

Given that:

Fixed Charges of first bank = $5

Charges of first bank per check = $0.10

Fixed Charges of second bank = $4

Charges of second bank per check = $0.20

To find:

Number of checks such that the charges for the banks become the same?

Solution:

Let the number of checks = x

Cost for the first bank for x checks = $5 + $0.10x

Cost for the second bank for x checks = $4 + $0.20x

As per question statement, both the costs are the same.

Comparing the values:

5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10

So, for 10 number of checks the cost will be same.

The cost = 4 + 0.20 \times 10 = <em>$6</em>

8 0
3 years ago
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