I can identify what happens to the equations when a point other than the intersection is substituted into the equations.
I can identify what happens to the equations when a point other than the intersection is substituted into the equations.
Simultaneous equations - Equations which represent different relationships between the same variables are called simultaneous equations.
Inequality - An inequality is used to show that one expression may not be equal to another.
Pupils may mix-up the x and y coordinates.
Remind pupils that the x value is read from the x-axis and is read first. The y value is read from the y-axis and is read second.
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$$x<3$$ -Â values less than 3
$$x\le3$$ -Â values less than or equal to 3
$$x>3$$ -Â values greater than 3
$$x\ge3$$ -Â values greater than or equal to 3
$$x=-2, y=2$$ -Â Solution to $$y=\frac{1}{2}x+3$$ but not a solution to $$y=3x-2$$
$$x=1, y=1$$ -Â Solution to $$y=3x-2$$ but not a solution to $$y=\frac{1}{2}x+3$$
$$x=2, y=4$$ -Â Solution to both $$y=3x-2$$ and $$y=\frac{1}{2}x+3$$ simultaneously
$$x=5, y=5$$ -Â Not a solution to $$y=3x-2$$ nor a solution to $$y=\frac{1}{2}x+3$$
(-3, 3) -Â $$y>2x+5$$ and $$y<2-x$$
(-2, 4) -Â $$y>2x+5$$ and $$y=2-x$$
(-1, 2) -Â $$y<2x+5$$ and $$y<2-x$$
(0, 5) -Â $$y=2x+5$$ and $$y>2-x$$
(1, 1) -Â $$y<2x+5$$ and $$y=2-x$$
(2, 2) -Â $$y<2x+5$$ and $$y>2-x$$
