How many solutions? Systems in standard form
Grade 8 math · 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 −6x + y = −2 and −18x + 3y = −6 have? Write one, none or infinite.
- How many solutions does the system 3x + y = 1 and 6x + 2y = 2 have? Write one, none or infinite.
- How many solutions does the system 6x + y = 9 and −3x + y = −1 have? Write one, none or infinite.
- How many solutions does the system 5x + y = 8 and 15x + 3y = 24 have? Write one, none or infinite.
- How many solutions does the system 5x + y = 7 and 5x + y = 5 have? Write one, none or infinite.
- How many solutions does the system −2x + y = 4 and −2x + y = 8 have? Write one, none or infinite.
- How many solutions does the system 8x + y = 9 and 8x + y = 10 have? Write one, none or infinite.
- How many solutions does the system 7x + y = 10 and 7x + y = 11 have? Write one, none or infinite.
- How many solutions does the system −5x + y = 5 and −10x + 2y = 10 have? Write one, none or infinite.
- How many solutions does the system 8x + y = 14 and 6x + y = 4 have? Write one, none or infinite.
- How many solutions does the system 6x + y = −4 and 6x + y = −1 have? Write one, none or infinite.
- How many solutions does the system −8x + y = −6 and −8x + y = −3 have? Write one, none or infinite.
- How many solutions does the system −x + y = 14 and −3x + 3y = 42 have? Write one, none or infinite.
- How many solutions does the system −3x + y = 12 and −3x + y = 15 have? Write one, none or infinite.
- How many solutions does the system 8x + y = 19 and −8x + y = −16 have? Write one, none or infinite.
- How many solutions does the system −11x + y = −9 and −11x + y = −8 have? Write one, none or infinite.
- How many solutions does the system −6x + y = 29 and −12x + 2y = 58 have? Write one, none or infinite.
- How many solutions does the system −14x + y = 19 and 10x + y = 16 have? Write one, none or infinite.
- How many solutions does the system 3x + y = 29 and 9x + 3y = 87 have? Write one, none or infinite.
- How many solutions does the system 9x + y = 3 and 9x + y = 5 have? Write one, none or infinite.