Interactive practice questions
Consider the equations $y=2x$y=2x and $y=28-2x$y=28−2x, 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=28−2x simultaneously.
| $y=2x$y=2x | |||||
| $x$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=
Consider the equations $y=-2x$y=−2x and $y=-12-4x$y=−12−4x, 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=−12−4x simultaneously.
Consider the equations $x+y=3$x+y=3 and $y=x-5$y=x−5, 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=x−5 simultaneously.
Consider the equations $y=3x$y=3x and $y=-35-4x$y=−35−4x, 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=−35−4x simultaneously.
Outcomes
10P.LR3.02
Solve systems of two linear equations involving two variables with integer coefficients, using the algebraic method of substitution or elimination