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alexandr1967 [171]
3 years ago
8

What is the answer using either the substitution method or elimination method

Mathematics
1 answer:
Sophie [7]3 years ago
8 0

To solve this problem, I am going to use the substitution method.  To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable.  This is modeled below:

s = 4r - 1

6r - 5s = -23

6r - 5(4r-1) = -23

Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS.  To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.

6r - 20r + 5 = -23

Next, we should combine like terms on the left side of the equation:

-14r + 5 = -23

Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation.  We get:

-14r = -28

Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.

r = 2

Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):

s = 4r - 1

s = 4(2) - 1

Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.

s = 8-1

s = 7

Therefore, your answer is s = 7 and r = 2.

Hope this helps!

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62.8 feet

Step-by-step explanation:

Radius of the fencing is:

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2 years ago
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3 years ago
What is the difference of the two expressions?
valkas [14]

<em>Answer is x + 12</em>

<em />

<h2>Explanation:</h2>

Hello! Recall that you have to write clear questions in order to get exact answers. So I'll help you assuming that the two expressions are the following:

First expression:

2x+9

Second expression:

x-3

So the operation we need to perform is:

2x+9-(x-3)

Recall some rules:

(+)\times (+)=+ \\ \\ (-)\times (-)=+ \\ \\ (-)\times (+)=- \\ \\ (+)\times (-)=-

Hence:

2x+9-(x-3)=2x+9-x+3 \\ \\ \\ Combine \ like \ terms: \\ \\ (2x-x)+(9+3) \\ \\ \boxed{x+12}

<h2>Learn more:</h2>

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It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.
riadik2000 [5.3K]

Answer:

k = (-162).

Step-by-step explanation:

A point of the form (x_{0},\, y_{0}) belongs to the graph of this function, y = k / x, if and only if the equation of this function holds after substituting in x = x_{0} and y = y_{0}.

The question states that the point (-9,\, 18) belongs to the graph of this function. Thus, the equation of this function, y = k / x, should hold after substituting in x = (-9) and y = 18:

y = k / x.

18 = k / (-9).

Solve this equation for the constant k:

\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}.

Thus, k = (-162).

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2 years ago
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