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# Does (x,y) satisfy the linear equation?

A point (x,y) is a solution to an equation if plugging in x and y results in a true statement.

Is (1,2) a solution of the equation y=2x?

A point is a solution to an equation if plugging in x and y results in a true statement.

Plug x=1 and y=2 into the equation and simplify.

 y=2x $2\;\stackrel{?}{=}\;2(1)$ Plug in x=1 and y=2 $2\;\stackrel{?}{=}\;2$ Multiply

Yes, 2=2.
So, the point (1,2) does satisfy the equation y=2x.
.

Is (1,0) a solution of the equation y=2x?

A point is a solution to an equation if plugging in x and y results in a true statement.

Plug x=1 and y=0 into the equation and simplify.

 y=2x $0\;\stackrel{?}{=}\;2(1)$ Plug in x=1 and y=0 $0\;\stackrel{?}{=}\;2$ Multiply

$0\;\neq\;2$
So, the point (1,0) does not satisfy the equation y=2x.
.

Does the point (2,12) satisfy the equation y=6x?
Yes
No