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27 votes
27 votes
Find four solutions of the equation.write the solutions as ordered pairs 4x-y=6

User IbrahimMitko
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2 Answers

13 votes
13 votes

Answer:

x= 3/2 + y/4

Explanation:

x= 3/2 + y/4

....

User Rob VS
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3.0k points
11 votes
11 votes

Answer:

(0, -6), (1, -2), (2, 2), (3, 6)

Explanation:

A solution to the given equation will be an (x, y) pair that satisfies the equation. There are an infinite number of possibilities.

How to find a solution

It is generally convenient to find a solution by rewriting the equation so one variable can be found in terms of the other. Here, the coefficient of y is -1, so it is convenient to solve the equation for y:

4x -y = 6

4x -6 = y . . . . . . add y-6 to both sides

y = 4x -6 . . . . . . write with y on the left

Four solutions

This lets us choose any value we like for x, and find the corresponding value of y. We generally prefer small integers, but any value can be chosen. For example, for x=0, we have ...

y = 4(0) -6 = -6

and the corresponding ordered pair is (x, y) = (0, -6).

The attachment shows other (x, y) pairs to be ...

(1, -2), (2, 2), (3, 6)

Find four solutions of the equation.write the solutions as ordered pairs 4x-y=6-example-1
User Squall
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3.1k points