Find the mistake in this sentence:

konstantin123 [22]

<span>y=4x−1;y=2x−5
Step: Solve y=4x−1 for y:
Step: Substitute 4x−1 for y in y=2x−5:
y=2x−5
4x−1=2x−5
4x−1+−2x=2x−5+−2x(Add -2x to both sides)
2x−1=−5
2x−1+1=−5+1(Add 1 to both sides)
2x=−4
2x/2=−4/2(Divide both sides by 2)
x=−2
Step: Substitute−2 for x in y=4x−1:
y=4x−1
y=(4)(−2)−1
y=−9(Simplify both sides of the equation)
<u>Answer:</u>y=−9 and x=−2</span>

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3 years ago

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Which table of ordered pairs represents a linear function? x y −8 22 0 1 8 22 16 102 x y −8 −7 0 1 8 9 8 2 x y −8 −7 0 0 8 7 16

nekit [7.7K]

The linear function is a function that has a straight line when plotted on a

graph.

<h3>The correct option;</h3>

The table of ordered pairs that represent a linear function is the option; <u>x/y -8/-7 0/0 8/7 16/14</u>

<u />

<h3>Reasons why the above selection is correct:</h3><h3 /><h3>Given;</h3>

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

<h3>Representation of the options in tabular form;</h3>

In a tabular form, we have;

$\begin{tabular}{|c|c|}x&y\\-8&22\\0&1\\8&22\\16&102\end{array}\right]$ $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&9\\8&2\end{array}\right]$ $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]$ $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&5\\16&4\end{array}\right]$