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

Write them as coordinate pairs.

2 Answers
Jim G.
Jun 15, 2018

#(x,y)to(4/3,0)#

Explanation:

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

#6x-8=0#

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

#x=8/6=4/3#

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

#x=1toy=6-8=-2to(1,-2)#

#x=-2toy=-12-8=-20to(-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-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 #x# and then substitute it into the equation to find the corresponding #y# value.

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