Interactive practice questions
We want to find any solutions to the following system of equations.
| Equation 1 | $6x-y=1$6x−y=1 |
| Equation 2 | $12x-2y=2$12x−2y=2 |
a
Graph the two linear functions using the graph mode of your CAS calculator.
How many solutions are there to the system of linear equation?
None
A
One
B
Infinitely many
C
b
What can you conclude from your answer in part (a)?
The equations have the same gradient and y-intercept.
A
The equations have the same gradient but different y-intercepts.
B
The equations have different gradients.
C
Easy
1min
We want to find any solutions to the following system of equations.
| Equation 1 | $-9x+8y=-5$−9x+8y=−5 |
| Equation 2 | $5x+7y=-9$5x+7y=−9 |
Easy
1min
We want to find any solutions to the following system of equations.
| Equation 1 | $-3x+y=-5$−3x+y=−5 |
| Equation 2 | $9x-3y=-4$9x−3y=−4 |
Easy
1min
Consider the equations $y=4x$y=4x and $y=27-5x$y=27−5x.
Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account