# Solutions to linear systems using a table of values

## Interactive practice questions

Consider the equations $y=2x$y=2x and $y=28-2x$y=282x, which have the following tables of values.

Find the values for $x$x and $y$y which satisfy the equations $y=2x$y=2x and $y=28-2x$y=282x simultaneously.

 $x$x $y$y $y=2x$y=2x $3$3 $4$4 $5$5 $6$6 $7$7 $6$6 $8$8 $10$10 $12$12 $14$14
 $x$x $y$y $y=28-2x$y=28−2x $3$3 $4$4 $5$5 $6$6 $7$7 $22$22 $20$20 $18$18 $16$16 $14$14

$x=\editable{},y=\editable{}$x=,y=

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Consider the equations $y=-2x$y=2x and $y=-12-4x$y=124x, which have the following tables of values.

Find the values for $x$x and $y$y which satisfy the equations $y=-2x$y=2x and $y=-12-4x$y=124x simultaneously.

Consider the equations $x+y=3$x+y=3 and $y=x-5$y=x5, which have the following tables of values.

Find the values for $x$x and $y$y which satisfy the equations $x+y=3$x+y=3 and $y=x-5$y=x5 simultaneously.

Consider the equations $y=3x$y=3x and $y=-35-4x$y=354x, which have the following tables of values.

Find the values for $x$x and $y$y which satisfy the equations $y=3x$y=3x and $y=-35-4x$y=354x simultaneously.