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Paraphin [41]
3 years ago
12

PLEASE SHOW WORK Solve using substitution y=x+1 3x-y=9

Mathematics
1 answer:
sesenic [268]3 years ago
4 0

y = x + 1   (*)

3x - y = 9   (**)

Substitute (*) to (**):

3x - (x + 1) = 9

3x - x - 1 = 9      <em>add 1 to both sides</em>

2x = 10     <em>divide both sides by 2i</em>

<h3>x = 5</h3>

Put the value of x to (*):

y = 5 + 1

<h3>y = 6</h3><h3>Answer: x = 5 and y= 6 → (5, 6).</h3>
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Answer:

36 hours.

Step-by-step explanation:

Let x represent time taken by both pipes to fill the tank.

We have been given that an inlet pipe can fill a swimming pool in 9 hours. So part of pool filled by inlet pipe in one hour would be \frac{1}{9}.

We are also told that an outlet pipe can empty the pool in 12 hours. The part of pool emptied by outlet pipe in one hour would be \frac{1}{12}.

Sine the time taken by both pipes to fill the tank is x hours, so part of pool filled by both pipes in one hour would be \frac{1}{x}.

We will get an equation using our given information as:

\frac{1}{x}=\frac{1}{9}-\frac{1}{12}

Let us solve for x.

\frac{1}{x}=\frac{1*12}{9*12}-\frac{1*9}{12*9}

\frac{1}{x}=\frac{12}{108}-\frac{9}{108}

\frac{1}{x}=\frac{12-9}{108}

\frac{1}{x}=\frac{3}{108}

Cross multiply:

3x=108

\frac{3x}{3}=\frac{108}{3}

x=36

Therefore, it will take 36 hours for both pipes to fill the tank.

7 0
3 years ago
If a figure located at T(-3, -1), U(1, -2), V(2, 2), W(-1, 1) and is rotated 90∘ counterclockwise rotation about the origin, whi
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Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ), thus

T(- 3, - 1 ) → T'(1, - 3 )

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A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x m
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Raul's age is 15 years.

Step-by-step explanation:

r represents Raul's age.

The number of years from the start of the Great Depression to the first presidential election of Richard Nixon is six years less than three times Raul's age.

The first presidential election happened 39 years after the Great Depression and six years less than three times Raul's age is 3r - 6.

Therefore, 3r - 6 = 39

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4 years ago
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