Find the ordered pair solution of y = (2/5)x + 2 corresponding to -5

Mathematics

1 answer:

jeka943 years ago

6 0

The ordered pair solution of y = (2/5)x + 2 corresponding to -5 is (x, y) = (-5, 0)

<em><u>Solution:</u></em>

Given that we have to find the ordered pair solution of $y = \frac{2}{5}x + 2$ corresponding to -5

Let us find the ordered pair corresponding x = -5

Ordered pairs are often used to represent two variables

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate

Substitute x = - 5 into the function and evaluate for y

$y = \frac{2}{5}x + 2\\\\y = \frac{2}{5}(-5) + 2\\\\y = 2(-1) + 2\\\\y = -2 + 2\\\\y = 0$

Therefore the ordered pair is x = -5 and y = 0 which is (x, y) = (-5, 0)

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Shown in the Figure below

Step-by-step explanation:

In this exercise, we have the following system of inequalities:

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The word and means intersection, so both inequalities must be true at the same time. We can graph this system as indicated in the figure below. Indeed, there is intersection between -1 and 1. Also, the number -1 is included in the solution because $x\geq -1$ and this is represented by the closed circle. On the other hand, the number 3 is not included in the solution because $x$ and this is represented by the open circle.