Q10. (1,4)
Q11. No solution
Step-by-step explanation:
Q10. To solve equations by graphing, sketch the graphs of the 2 equations. The point(s) where the two lines intersect is the solution. To sketch straight line graph, find 2 coordinates then join them.
y= -2x +6
When x=0, y= 6
When y=0,
-2x+6=0
2x=6
x=6÷2
x=3
Thus, the 2 coordinates are (0,6) and (3,0).
After plotting these 2, draw a straight line that passes these 2 points. Instead of finding the x and y coordinates, you could also find other points such as when x=5 etc.
y=4x
when y=0,
4x=0
x=0
When x=1,
y=4(1)
y=4
The 2 coordinates are (0,0) and (1,4).
Plot this graph.(1st picture) You should be able to see the point if intersection, and that is the solution.
The solution should be (1,4).
Q11. Like question 10, plot the 2 graphs and see where they intersect.(2nd picture) In this case, you would notice that the two lines does not intersect. Hence, there is no solution.
Further explanation:
This is because the first equation is y= -2x+6 and the second is y= -2(x-6). If you expand the 2nd equation, the equation is y= -2x+12.
The gradient of the two lines are the same, which means that they are parallel and therefore they do not meet.
