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xenn [34]
2 years ago
12

Solve t/he system of linear equations given by x + y = 1 and ax − by = c, where a, b, c are real numbers. Note: The solution in

this case will not be numbers but formulas containing a, b, and c. Need help ASAP!!
Mathematics
1 answer:
Phantasy [73]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x + y = 1 → (1)

ax - by = c → (2)

In (1) subtract y from both sides

x = 1 - y → (3)

Substitute x = 1 - y into (2)

a(1 - y) - by = c ← distribute left side

a - ay - by = c ( subtract a from both sides )

- ay - by = c - a ( multiply through by - 1 )

ay + by = a - c ← factor out y from each term on the left side

y(a + b) = a - c ← divide both sides by (a + b)

y = \frac{a-c}{a+b} ← substitute into (3)

x = 1 - \frac{a-c}{a+b} = \frac{a+b}{a+b} - \frac{a-c}{a+b} = \frac{a+b-a+c}{a+b} = \frac{b+c}{a+b}

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There are 15children ten children are each wearing 1cap how many more caps would you need to have one cap on each child? Draw to
Alex_Xolod [135]

Answer:2

Step-by-step explanation:

6 0
3 years ago
There are 10 fish in all percy tank.4 of the fish are angel fish. There are 4 more mollie fish than tetra fish. How many of each
ElenaW [278]
4 Angel fish ,4 Mollie fish and 2 tera fish
6 0
3 years ago
Please Help Keep getting 6.4
elixir [45]

Answer:

r = 3

Step-by-step explanation:

x^2 + 6x + y^2 - 8y = - 16

Take half the linear term and square it.

x^2 + 6x + (3)^2 + y^2 - 8y + (-4)^2 = - 16

Add the squared amounts to the right.

x^2 + 6x + 9 + y^2 - 8y + 16 = - 16 + 9 + 16  

Combine on the right.

x^2 + 6x + 9 + y^2 - 8y + 16 = 9

Represent the 2 quadratics as perfect squares.

(x + 3)^2 + y - 4)^2 = 9

The radius is the square root of 9 which is 3

8 0
3 years ago
Read 2 more answers
Deon has a pizza with a diameter
OverLord2011 [107]

The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.

<h3>What is the area of the circle and the square?</h3>

The area of the circle is

Ac = πr² = πd²/4 sq. units

Where r is the radius and d is the diameter of the circle.

The area of the square is given by

As = s² sq. units

Where s is the length of the side of a square.

<h3>Calculation:</h3>

It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.

So,

The area of pizza is

Ap = Ac = πd²/4 sq. units

     = π(10)²/4

     = 25π

     = 78.54 sq. in

Then, the area of the square box with the length same as the diameter of the pizza is,

As = d²

    = 10²

    = 100 sq. in

Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.

Learn more about the area of a circle here:

brainly.com/question/15673093

#SPJ1

7 0
1 year ago
Can someone help me with this :(
julia-pushkina [17]

Answer:

9

Step-by-step explanation:

6+x, when x = 3

6+(3)

6+3=9

5 0
3 years ago
Read 2 more answers
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