What are the solutions to the linear equation y=6x-8y=6x−8?

Write them as coordinate pairs.

2 Answers
Jim G.
Jun 15, 2018

(x,y)to(4/3,0)(x,y)→(43,0)

Explanation:

"to solve for "x" let y = 0"to solve for x let y = 0

6x-8=06x−8=0

"add 8 to both sides and divide by 6"add 8 to both sides and divide by 6

x=8/6=4/3x=86=43

"other solutions may be generated by allocating values"other solutions may be generated by allocating values
"to "x" and evaluating "yto x and evaluating y

x=1toy=6-8=-2to(1,-2)x=1→y=6−8=−2→(1,−2)

x=-2toy=-12-8=-20to(-2,-20)x=−2→y=−12−8=−20→(−2,−20)

EZ as pi
Jun 15, 2018

The best way to show all the solutions is to draw a graph which will be straight line. Each point on the line represents a different solution to the equation.

Explanation:

y = 6x-8y=6x−8

There are two variables in the equation which means that there is not only one solution but an infinite number of solutions.

You can choose any value for xx and then substitute it into the equation to find the corresponding yy value.

When x = 0 " "rarr y =-8" "rarr (0,8)x=0 →y=−8 →(0,8)
When x = 1 " "rarr y =-2" "rarr (1,2)x=1 →y=−2 →(1,2)
When x = 2 " "rarr y =4" "rarr (2,4)x=2 →y=4 →(2,4)

And so on ....

The best way to show all the solutions is to draw a graph which will be straight line. Each point on the line represents a different solution to the equation.

graph{y=6x-8 [-15.33, 24.67, -14, 6]}

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