Question 1
LEVEL 6
Using the graph, find the solution to the simultaneous equations represented by the lines.
Select the correct answer from the list below:
A: x = 0.6, y = 0.6
B:x = 0.4, y = 0.8
C:x = 0.6, y = 0.3
D:x = 1.2, y = 0.4
CORRECT ANSWER: A: x = 0.6, y = 0.6
WORKED SOLUTION:
To solve a pair of simultaneous equations graphically, we find the intersection of the two equations when plotted.
Here the intersection coordinates are (0.6,0.6)
Question 2
LEVEL 6
Using the graph, find the solution to the simultaneous equations represented by the lines.
Select the correct answer from the list below:
A: x = 2, y = 2
B: x = 1, y = 2
C: x =2, y = 1
D:x = 1, y = 1
CORRECT ANSWER: C: x = 1, y = 2
WORKED SOLUTION:
To solve a pair of simultaneous equations graphically, we find the intersection of the two equations when plotted.
Here the intersection coordinates are (1,2)
Question 3
LEVEL 6
Using the graph, find the solution to the simultaneous equations represented by the lines.
Select the correct answer from the list below:
A: x = 2, y = 2
B: x = -1, y = 2
C: x = 2, y = 1
D: x = 1, y = 2
CORRECT ANSWER: D: x = 1, y = 2
WORKED SOLUTION:
To solve a pair of simultaneous equations graphically, we find the intersection of the two equations when plotted.
Here the intersection coordinates are (1,2)
Question 4
LEVEL 6
Using the graph, find the solution to the simultaneous equations represented by the lines.
Select the correct answer from the list below:
A: x = 4, y = 3.5
B: x = 1, y = 7.5
C: x = -1, y = 8.5
D: x = 1, y = 4.5
CORRECT ANSWER: B: x = 1, y = 7.5
WORKED SOLUTION:
To solve a pair of simultaneous equations graphically, we find the intersection of the two equations when plotted.
Here the intersection coordinates are (1,7.5)
Question 5
LEVEL 6
Using the graph, find the solutions to the simultaneous equations represented by the line and the circle.
Select the correct answer from the list below:
A: x = 0, y = 2 and x = -2, y = 0
B: x = 7, y = 5 and x = -7, y = -5
C: x = 5, y = 7 and x = -5, y = -7
D: x = 5, y = 7 and x = -7, y = -5
CORRECT ANSWER: D: x = 5, y = 7 and x = -7, y = -5
WORKED SOLUTION:
To solve a pair of simultaneous equations graphically, we find the intersection of the two equations when plotted.
Here there are 2 intersections, so we have 2 solutions.
The intersection coordinates are (5,7) and (-7,-5).