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3 years ago

Explain how you would create opposite terms for the x-variable in this system. 3x-6y=-8, -1/4x+4y=6

Mathematics

2 answers:

Molodets [167]3 years ago

6 0

Your answer would be, You can use the Elimination Method, by Multiplying, One or Both Equations by a Constant.

Solve System of Linear Equation:

3x - 6y = -8, -1/4x + 4y = 6 ====> y = 32 /21; x = 8 / 21

Steps:

[ 3x - 6y = -8, -1 / 4x + 4y = 6 ]

Isolate x for 3x - 6y = -8: x = -8 + 6y / 3

3x - 6y = -8

Add 6y both sides:

3x - 6y + 6y = -8 + 6y

Simplify:

3x = - 8 + 6y

Divide Both sides by 3:

3x / x = -8 / 3 + 6y / 3

Simplify:

x = -8 + 6y / 3

Substitute:

x = -8 + 6y / 3

[ 1 / 4 * -8 + 6y / 3 + 4y = 6 ]

Isolate:

-1 / 4 -8 + 6y / 3 + 4y = 6

y = 32 / 21

For x = -8 + 6y / 3

Substitute:

y = 32 / 21

x = -8 + 6 / 3 * 32 / 21

-8 + 6 / 3 * 32 / 21

x = 8 / 21

The Solution to the Systems of Equations are: y = 32 / 21; x = 8 / 21

Hope that helps!!! : )

suter [353]3 years ago

4 0

To create opposite terms for the x-variable, you need to multiply the second equation by a number that will result in the x term becoming –3x. That number would need to be a multiple of the denominator, which is 3. Multiplying the second equation by 9 would create opposite terms for the x-variable.

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3 years ago

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3 years ago

Read 2 more answers

Số tiếp theo (next number?): 25 50 99 196 388

Delvig [45]

Answer:

The correct answer is - 768.

Step-by-step explanation:

The given question is based on a specific pattern present in between the numbers in the given series -

Series = 25 50 99 196 388

to find - next number in series

let us find the relation between the initial two number:

25 - 50, here number 50 is two times of 25 or (x*2-0)

relation between 2nd and 3rd number:

50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)

relation between 3rd and 4th number:

99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)

relation between 4th and 5th number:

196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)

So on this pattern, the next number would be = x*2-8

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5 0

3 years ago

PLEASE HELP!! (50 POINTS)

Marrrta [24]

Answer:

Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.

Step-by-step explanation:

The vertices of the given quadrilateral is $C(2,0),O(7,0),A(7,2),T(2,2)$

It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.

The slope of each side can be found using the formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of CO,

$M_{CO}=\frac{0-0}{7-2}=\frac{0}{5} =0$

A line with a zero slope is a horizontal line.

The slope of OA,

$M_{OA}=\frac{2-0}{7-7} =\frac{2}{0}$

This slope is undefined.

A line with an undefined slope is a vertical line.

This shows that,the side CO and OA of the quadrilateral meets at right angle.

The slope of AT,

$M_{AT}=\frac{2-2}{7-0}=\frac{0}{5}=0$

This is also a horizontal line.

The slope of TC,

$M_{TC}=\frac{2-0}{2-2} =\frac{2}{0}$

This also a vertical line.

This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.

Also AT is parallel to TO.

This shows that COAT is a rectangle.

8 0

3 years ago

The graph of f(x) = 2x2 + x – 15 passes through the point (0, –15) and one of its zeros is (2.5, 0). What is the other zero of t

pogonyaev

Answer:

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Step-by-step explanation:

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