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2 years ago

Find the solution -x + 2y = 6 and y = 1/2 x + 3

Mathematics

1 answer:

Margaret [11]2 years ago

5 0

Answer:

Step-by-step explanation:

-x + 2y = 6

y = 1/2x + 3

sub 1/2x + 3 in for y, back into the first equation

-x + 2(1/2x + 3) = 6 ....distribute thru the parenthesis

-x + x + 6 = 6

6 = 6

The solution to this equation is infinite solutions

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Find the least common denominator for these two rational expressions. B/b^2 -64 -7b/b^2+7b-8

san4es73 [151]

Answer:

The least common denominator is (b-8)(b+8)(b-1)

Step-by-step explanation:

We are given expression as

$\frac{b}{b^2-64}-\frac{7b}{b^2+7b-8}$

Firstly, we will factor both denominators

$b^2-64=b^2-8^2=(b-8)(b+8)$

$b^2+7b-8=(b+8)(b-1)$

so, we can plug it back

$\frac{b}{(b-8)(b+8)}-\frac{7b}{(b+8)(b-1)}$

First term denominator is

(b-8)(b+8)

Second term denominator is

(b+8)(b-1)

So,

Least common denominator will be

(b-8)(b+8)(b-1)

So, we get

$LCD=(x-8)(x+8)(x-1)$

3 0

2 years ago

The market equilibrium point for a product is reached when 12000 units are produced and sold at $27 per unit. The manufacturer w

mamaluj [8]

If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,
supply: 324000 = 6p ; p = 324000/6 = 54000
demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696

8 0

3 years ago

David walked 0.5 kilometer from his home to the library which fraction is equivalent to 0.5

dusya [7]

Answer:

1/2

Step-by-step explanation:

.5=1/2

5 0

3 years ago

Read 2 more answers

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