We will use straight line graphs on the same axes to solve simultaneous equations below.
The graph of [math]y+2x=4[/math] has been drawn on the axes below:
(a) On the same grid, draw the graph of [math]y=x+1[/math].
(b) Use the graphs to solve the simultaneous equations:[br][math]y+2x=4[/math][br][math]y=x+1[/math]
The straight line [math]y=2x+3[/math] has been drawn on the axes below:
(a) On the same grid, draw the graph of [math]y=-3x+8[/math]
(b) Use the graphs to solve the simultaneous equations:[br][math]y=2x+3[/math][br][math]y=-3x+8[/math]
The graph of [math]3x+y=8[/math] has been drawn on the grid below:
(a) On the same grid, draw the graph of [math]x+y=6[/math].
(b) Use the graphs to solve the simultaneous equations:[br][math]3x+y=8[/math][br][math]x+y=6[/math]
(a) On the grid below, draw the graphs of these functions:[br][math]y=3x+1[/math][br][math]x+y=7[/math]
(b) Use the graphs you have drawn above to solve the simultaneous equations[br][math]y=3x+1[/math][br][math]x+y=7[/math]
(a) On the grid below, draw the graphs of these functions:[br][math]y=3x+5[/math][br][math]x-2y+6=0[/math]
(b) Use the graphs you have drawn above to solve the simultaneous equations[br][math]y=3x+5[/math][br][math]x-2y+6=0[/math]