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3 years ago

12y=17-9x and -4y-3x=31 solve by elimination

Mathematics

1 answer:

vodka [1.7K]3 years ago

7 0

Answer:

0 ≠ 110

No solution

Step-by-step explanation:

Solve by Addition/Elimination

12y = 17 − 9x and −4y − 3x = 31

Reorder 17 and −9x. 12y = −9x + 17

−4y − 3x = 31

Add 9x to both sides of the equation.

12y + 9x = 17

−4y − 3x = 31

Reorder the polynomial.

9x + 12y = 17

−4y − 3x = 31

Reorder the polynomial.

9x + 12y = 17

−3x − 4y = 31 9x + 12y = 17

Multiply each equation by the value that makes the coefficients of x opposite.

9x + 12y = 17

(3) ⋅ (−3x − 4y) = (3) (31)

Simplify (3) ⋅ (−3x − 4y).

Apply the distributive property.

9x + 12y = 17

3 (−3x) + 3 (−4y) = (3) (31)

Multiply −3 by 3. 9x + 12y = 17

−9x + 3 (−4y) = (3) (31)

Multiply −4 by 3. 9x + 12y = 17

−9x − 12y = (3) (31)

Multiply 3 by 31. 9x + 12y = 17

−9x − 12y = 93

Add the two equations together to eliminate x from the system.

9x+12y=17

+−9x−12y=93

0=110

Since 0 ≠ 110, there are no solutions. No solution

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Answer:

The entire floor can contain approximately 4178 fans

Step-by-step explanation:

The first step is to calculate the area of the basketball floor.

we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.

The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.

From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.

This is = 1.125 square feet.

To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.

4700/ 1.125 =4177.8 $\approx$ 4178 fans

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3 years ago

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Oksana_A [137]

Answer:

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Step-by-step explanation:

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2 years ago

The sum of two numbers is 41 and their difference is 5. what are the two numbers

antoniya [11.8K]

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3 years ago

Based on housing data below which equation can be used to calculate fair housing prices?

VMariaS [17]

Answer:

B. y = 0.097x + 11.142

Step-by-step explanation:

In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.

The equation of the line can be written as

$y=mx+q$

where m is the slope and q the y-intercept.

In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:

(1900, 196)

and

(2200, 225)

The slope of the line is calculated as:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{225-196}{2200-1900}=0.097$

So, the slope of the line is 0.097.

Therefore, the correct option is the only one having a slope of 0.097, which is:

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3 years ago

Prove that sin20 sin40 sin60 sin80=3/16

sineoko [7]

sin20 * sin40 * sin60 * sin80

since sin 60 = √3/2

√3/2 (sin 20 * sin 40 * sin 80)
√3/2 (sin 20) [sin 40 * sin 80]

Using identity: sin A sin B = (1/2) [ cos(A - B) - cos(A + B) ]

√3/2 (sin 20) (1 / 2) [cos 40 - cos 120]
√3/4 (sin 20) [cos 40 + cos 60]

Since cos 60 = 1/2:

√3/4 (sin 20) [cos 40 + (1/2)]
√3/4 (sin 20)(cos 40) + √3/8 (sin 20)

Using identity: sin A cos B = 1/2 [ sin(A + B) + sin(A - B) ]

√3/4 (1 / 2) [sin 60 + sin (-20)] + √3/8 (sin 20)

Since sin 60 = √3/2

√3/8 [√3/2 - sin 20] + √3/8 (sin 20)
3/16 - √3/8 sin 20 + √3/8 sin 20

Cancelling out the 2 terms:
3/16

Therefore, sin20 * sin40 * sin60 * sin80 = 3/16

6 0

3 years ago