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2 years ago

6x– 9y = 3 x-9y = -22

Mathematics

1 answer:

Tomtit [17]2 years ago

3 0

Answer:

Step-by-step explanation:

6x-9y=3

+x-9y=-22

first you take x-9y=-22 *-1 which will equal -x+9y=22

then you add

6x-9y=3

+-x+9y=22

----------------

5x=25

÷5 ÷5= x=5 then you plug 5 into each x spot

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Solve for x.

Ivahew [28]

ANSWER

$x=\frac{2-\sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

$(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}$

$\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}$

$\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}$

$\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}$

Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

3 0

3 years ago

Read 2 more answers

If x = y then 3x = 3y gemotry prove

otez555 [7]

Multiplying both sides of an equation by the same number keeps the equation true. In this example, both sides are multiplied by 3, so the equation isn't changed.

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2 years ago

A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should

forsale [732]

Answer:

9.3 inches

Step-by-step explanation:

The computation of the radius of the spinner be given below:

Let us assume the same be x

We know that

Total area of the sector = one-sixth of the total area of the spinner

Given that

45.1 = 1 ÷ 6 × π × r^2

r^2 = 45.1 × 6 ÷ π

r^2 = 86.1

r = 9.279

= 9.3 inches

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3 years ago

Kendra types 72 words per minute. At this rate, how long will it take Kendra to complete a letter of 900 words?

riadik2000 [5.3K]

900 ÷ 72 = 12.5 minutes

Thus the correct answer is option A .

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2 years ago

Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin. Complete the table to show the locations of A

katen-ka-za [31]

Answer:

Step-by-step explanation:

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2 years ago