Y= 5x - 7

Mathematics

1 answer:

bekas [8.4K]3 years ago

4 0

Point form: (2,3) and x=2 and y=3

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2x - 2y = -8 x + 2y = -1 (-3,1) O (-14, 1) (0,4) (1,5)

trasher [3.6K]

Answer:

2x - 2y = -8

x + 2y = -1

3x = -9

x = -3

-3 + 2y = -1

2y = 2

y = 1

(-3, 1) is the solution

Step-by-step explanation:

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3 years ago

Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number

Gnoma [55]

Sum/difference:

Let

$x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}$

This means that

$3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}$

Now, assume that $x$ is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that $x$ was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

$x = -15\sqrt{8}$

if again we assume x to be rational, we have

$\sqrt{8} = -\dfrac{x}{15}$

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

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3 years ago

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yaroslaw [1]

Here, to make your day a little better<3