How many solutions does the system have?
Year 8 maths · Fieldbook Learning
Name ______________________ Date __________
Compare the slopes and intercepts. Different slopes give one solution. Same slope and same intercept give infinitely many. Same slope and different intercepts give none.
- How many solutions does the system y = −3x + 9 and y = −3x + 8 have? Write one, none or infinite.
- How many solutions does the system y = −3x + 4 and y = 3x have? Write one, none or infinite.
- How many solutions does the system y = 4x + 6 and y = 4x + 10 have? Write one, none or infinite.
- How many solutions does the system y = −4x − 2 and y = −4x − 2 have? Write one, none or infinite.
- How many solutions does the system y = 6x − 9 and y = 6x − 11 have? Write one, none or infinite.
- How many solutions does the system y = −4x + 6 and y = −4x + 2 have? Write one, none or infinite.
- How many solutions does the system y = −2x − 9 and y = −2x − 9 have? Write one, none or infinite.
- How many solutions does the system y = −x + 5 and y = −7x − 4 have? Write one, none or infinite.
- How many solutions does the system y = −10x + 11 and y = −10x + 14 have? Write one, none or infinite.
- How many solutions does the system y = −10x − 4 and y = −10x − 2 have? Write one, none or infinite.
- How many solutions does the system y = x − 7 and y = −5x + 13 have? Write one, none or infinite.
- How many solutions does the system y = 8x − 7 and y = −x − 7 have? Write one, none or infinite.
- How many solutions does the system y = 9x − 7 and y = 9x − 7 have? Write one, none or infinite.
- How many solutions does the system y = −4x − 2 and y = 4x − 10 have? Write one, none or infinite.
- How many solutions does the system y = 10x and y = 10x have? Write one, none or infinite.
- How many solutions does the system y = −2x − 19 and y = −2x − 21 have? Write one, none or infinite.
- How many solutions does the system y = −13x + 10 and y = −13x + 7 have? Write one, none or infinite.
- How many solutions does the system y = 8x + 4 and y = 8x + 4 have? Write one, none or infinite.
- How many solutions does the system y = 10x − 22 and y = −2x − 23 have? Write one, none or infinite.
- How many solutions does the system y = −12x − 30 and y = 8x + 29 have? Write one, none or infinite.