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slava [35]
3 years ago
14

Solve the system of equation using substitution ×=5y-37 ×+2y=26

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0
Answer to Question 5:
y = 5
x = 10

Answer to the Above question:
x = 5y - 37      (1)
x + 2y = 26     (2)

Substitute x into equation 2, therefore;
(5y - 37) + 2y = 26
simplify
7y - 37 = 26
7y = 63
y = 9
Then substitute y=9 into any equation (choosing the easiest to solve which is equation 1), in order to find a solution for the x-value.
Thus,
x = 5(9) - 37
x = 45 - 37
x = 8
The answer is,
y=9, x=8 
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Answer:

5/3

Step-by-step explanation:

Trigonometric ratio

Cot θ = Adjacent side/Opposite side

It is given that,

Cot θ  = 4/3

Adjacent side = 4

Opposite side = 3

Csc θ = Hypotenuse/Opposite side

To find the Hypotenuse

Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²

Hypotenuse = √(3²+ 4²) = 5

To find Csc θ

Csc θ = Hypotenuse/Opposite side = 5/3

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Which function has a domain of all real numbers except x=pi/2+_npi?
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What is 9 x 10-2<br> as an ordinary number? Give your answer as a decimal.
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Step-by-step explanation:

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3 years ago
On a scale drawing a door that is 7 feet tall is drawn 2 inches tall. In this scale, 1 inch is equal to how many feet?
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8 0
3 years ago
Read 2 more answers
Please help!! I don’t get it
Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting x represent the number of hot dogs and y the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

6x + 4y = 14.10

The Farley family bought 3 hot dogs and 4 juices for $9.15.

3x + 4y = 9.15

Now, we subtract these equations.

6x + 4y = 14.10\\- (3x + 4y = 9.15)

Since y has reversed coefficients, it gets eliminated. Now solve for x.

6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}

\frac{4.95}{3} = 1.65

x = 1.65

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

6x + 4y = 14.10

6(1.65) + 4y = 14.10

9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2

\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05

x = 1.65

y = 1.05

x represents hotdogs and y represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0
3 years ago
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