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3 years ago

Solve the system of equations. 3x-4y=8 18x-5y=10

Mathematics

1 answer:

ipn [44]3 years ago

7 0

Answer:

y = -2 x = 0

Step-by-step explanation:

1. 3x-4y = 8

2. 18-5y = 10

Multiply equation 1 by 6

3. 18x-24y = 48

Subtract equation 2 from equation 3

4. -19y = 38

y = 38/-19

y = -2

Sub y = -2 back into equation 1

3x-4(-2) = 8

3x + 8 = 8

3x = 0

x = 0/3

x = 0

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Can someone explain this?

mylen [45]

Answer:

The amount of salads sold that day were 93.

Step-by-step explanation:

Information to note:

Salad = $6.50

Drinks = $2.00

Total amount sold = 209

Total amount of money gained = $836.50

Set the system of equation. Let salad = s, and drinks = d

s + d = 209

6.50s + 2d = 836.50

Isolate the variable s in the first equation. Note the equal sign, what you do to one side, you do to the other. Subtract d from both sides:

s + d = 209

s + d (-d) = 209 (-d)

s = 209 - d

Plug in the new expression for s into the second equation:

s = 209 - d

6.50s + 2d = 836.50

6.50(209 - d) + 2d = 836.50

Simplify. Isolate the variable, d. First, distribute 6.50 to all terms within the parenthesis:

6.50(209 - d) = 1358.5 - 6.50d

1358.5 - 6.50d + 2d = 836.50

Simplify. Combine like terms:

1358.5 + (-6.50d + 2d) = 836.50

1358.5 - 4.50d = 836.50

Isolate the variable, d. Note the equal sign, what you do to one side, you do to the other.

Subtract 1358.5 from both sides:

1358.5 (-1358.5) - 4.50d = 836.50 (-1358.5)

-4.50d = 836.50 - 1358.50

-4.50d = -522

Isolate the variable, d. Divide -4.50 from both sides:

(-4.50d)/-4.50 = (-522)/-4.50

d = -522/-4.50

d = 116

The amount of drinks sold were 116.

Plug in 116 for d in one of the equations:

s + d = 209

s + (116) = 209

Isolate the variable, s. Subtract 116 from both sides:

s + 116 (-116) = 209 (-116)

s = 209 - 116

s = 93

The amount of salads sold that day were 93.

5 0

4 years ago

How many total meters did she bike?

Gennadij [26K]

The answer is 26,400 yards.

3 0

3 years ago

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20% of 60 is what number?

frosja888 [35]

Your answer of 20% of 60 is 12

8 0

3 years ago

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If f(x) = 5x – 1, then f^-1(x)=

Umnica [9.8K]

Answer:

$\boxed{\sf \ \ \ f^{-1}(x)=\dfrac{x+1}{5} \ \ \ }$

Step-by-step explanation:

hello

f(x)=5x-1

what can we say about $f^{-1}(x) ?$

$(fof^{-1})(x)=x=f(f^{-1}(x))=5f^{-1}(x)-1$

$5f^{-1}(x)-1=x\\ 5f^{-1}(x)-1+1=5f^{-1}(x)=x+1 \ \ \ add \ \ 1\\ f^{-1}(x)=\dfrac{x+1}{5} \ \ \ divide \ \ by \ \ 5$

hope this helps

6 0

3 years ago

Simplify <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B102%7D%7B300%7D%20" id="TexFormula1" title=" \frac{102}{300} " alt="

ale4655 [162]

The first step for simplifying this fraction is to divide the numerator and denominator by 6.
$\frac{102\div6}{300\div6}$
Divide the numbers on the numerator (top) of the fraction.
$\frac{17}{300\div6}$
Lastly,, divide the numbers on the denominator (bottom) of the fraction to get your final answer.
$\frac{17}{50}$
Let me know if you have any further questions.
:)

3 0

3 years ago

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