Question

Which group of ordered pairs are on the line given by the equation 5x−2y=65x-2y=6?


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Answer 1

ANSWER

$(t, \frac{5}{2}t - 3) \: \: where \: t \in \: R$

EXPLANATION

The given line is

$5x - 2y = 6$

This is a linear equation in two variables.

There are infinitely many solutions.

Let us solve for y.

$2y = 5x - 6$

$\frac{2y}{2} = \frac{5}{2} x - \frac{6}{3}$

$y = \frac{5}{2}x - 3$

Let

$x = t$

Then

$y =\frac{5}{2}t - 3$

The group of ordered pairs which are on the given line are represented by:

$(t, \frac{5}{2}t - 3)$

Where t is real number.