Systems of Equations

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

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

$y=2x$y=2x |
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$x$x |
$3$3 | $4$4 | $5$5 | $6$6 | $7$7 |
---|---|---|---|---|---|

$y$y |
$6$6 | $8$8 | $10$10 | $12$12 | $14$14 |

$y=28-2x$y=28−2x |
|||||

$x$x |
$3$3 | $4$4 | $5$5 | $6$6 | $7$7 |
---|---|---|---|---|---|

$y$y |
$22$22 | $20$20 | $18$18 | $16$16 | $14$14 |

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

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Solve systems of two linear equations involving two variables, using the algebraic method of substitution or elimination